PATENT DOCUMENT

Abstract:
A 70,000-gate device and method which provide substantially real-time TV video images that are similar to pre-degradation original images by: setting luminance distribution of a degraded image and an estimated luminance distribution of initial values of a reconstructed image for one frame of TV video images; using a first PSF luminance distribution in a first-time iterative calculation, said first PSF luminance distribution having been specified in accordance with the degree of degradation of the degraded image; using a second PSF luminance distribution in a second-time iterative calculation; and while setting a reconstructed image estimated luminance distribution from the first-time iterative calculation as a second-time estimated luminance distribution of the initial values of the reconstructed image, performing the second-time iterative calculation in an image reconstructioner which determines, in the luminance distribution of the degraded image, the most likely estimated luminance distribution of the reconstructed image based on the Bayse probability theorem.

Full Description:
TECHNICAL FIELD 
     The present invention relates to image processing of TV video. In particular, the present invention relates to TV-video accelerated super-resolution processing methods, TV-video accelerated super-resolution processing devices using the same, first to sixth accelerated super-resolution processing programs, and first and second storage media for restoring degraded TV video to pre-degradation TV video by removing degraded information included in TV video, such as optical blurring or unsharpness, by way of mathematical computational processing based on Bayse probability theory. 
     BACKGROUND ART 
     TV video is composed of 30 or more still images per second, referred to as frames. There is a problem in that each frame, whether digital or analog, includes degraded information, such as optical blurring or unsharpness, even if it is not blurred to such an extent that it becomes unclear. 
       FIG. 1  shows an example of degraded information included in a frame of actual TV video.  FIG. 1  includes two images: the left image represents a frame composed only of Y (luminance components) of TV video acquired by using an X-ray pinhole camera; on the other hand, the right image represents an image in which degraded information has been reduced by subjecting the left image in  FIG. 1  to super-resolution processing using related art invented by the inventor of the present invention (Patent Literatures 1 and 2). A comparison between the images in  FIG. 1  indicates that actual TV video includes degraded information, such as optical blurring or unsharpness. 
     In the image restoration technologies invented by the inventor of the present invention (Patent Literatures 1 and 2), while repeating iterations according to formulas based on Bayse probability theory by using information about one still image including degraded information, such as optical blurring or unsharpness, a maximum-likelihood degradation factor and a maximum-likelihood restored image, i.e., an image after super-resolution processing, having a maximum likelihood for the luminance distribution of the still image are obtained through numerical computations. However, since a huge amount of computational processing is required for this calculation, there has been a problem in that it is difficult to handle TV video, which requires real-time processing. 
     There has been a problem with the image restoration technologies invented by the inventor of the present invention (Patent Literatures 1 and 2) in that they require a large scale of computation and are not suitable for substantially real-time processing since complex numbers are handled in the computation. In order to solve this problem, in a technology for which a patent application has been filed, the inventor of the present invention has changed the type of numbers handled in the computation from complex numbers to real numbers and proposed a hardware implementation using FPGAs (Field Programmable Gate Arrays), allowing substantially real-time processing. However, there have been problems in that the number of gates in the hardware implementation is as large as 1.5 million gates, and thus, costs are high and the installation area is large. 
     Another type of conventional super-resolution technology for TV video is a “super-resolution reconstruction” method (Patent Literatures 3 and 4), in which attention is paid to a certain object existing in a plurality of frames constituting TV video and the positions of that object are aligned to superimpose the plurality of frames, thereby realizing super resolution, which is a method that has been introduced into products. However, in a case where the size of the object considerably varies or where such an object is not included in a plurality of frames, such as in a scene involving intense motion or in a scene involving frequent zoom-ins or zoom-outs, there has been a problem in that super-resolution based on “super-resolution reconstruction” methods is not possible. 
     As another method, in a method described in Non-Patent Literature 1, Bayes statistical processing is executed on the basis of a plurality of successive still images acquired by using video cameras from mutually slightly different viewpoints, thereby obtaining a super-resolution still image. However, this method requires a large amount of memory for constantly storing a plurality of still images including degraded information. Furthermore, in order to obtain a still image having super-resolution, it is necessary to constantly process a plurality of still images. This requires a huge amount of computation as well as requiring a large amount of memory, which prohibits processing of TV video. 
     LIST OF PRIOR ART DOCUMENTS 
     Patent Literature 
     {PTL 1} 
     
         
         International Publication No.: Japanese Patent Publication No. 4568730 (WO2006/041127)
 
{PTL 2}
 
         International Publication No.: Japanese Patent No. 4575387 (WO2006/041126)
 
{PTL3}
 
         Japanese Unexamined Patent Application, Publication No. 2009-296410
 
{PTL4}
 
         Japanese Unexamined Patent Application, Publication No. 2009-100407 
       
    
     Non Patent Literature 
     {NPL 1} 
     
         
         Atsunori Kanemura et al., “Bayesian Image Superresolution and Its Hierarchical Extensions,” The Brain and Neural Networks, vol. 15, No. 3 (2008), 181-192 
       
    
     SUMMARY OF INVENTION 
     Problem to be Solved by Invention 
     With any of the methods described in Patent Literatures 1 to 4 and Non-Patent Literature 1, there has been a problem in that it is not possible to execute super-resolution processing of TV video on the basis of only information about a frame including degraded information, such as optical blurring or unsharpness. 
     In order to solve this problem, the inventor of the present application invented and filed a patent application for TV-video super-resolution processing methods and TV-video super-resolution processing devices that allow substantially real-time processing by changing the type of numbers handled in the computation in the image restoration technologies invented by himself (Patent Literatures 1 and 2) from complex numbers to real numbers and adopting a hardware implementation using FPGAs. However, there have been problems in that the number of gates in the FPGA implementation in the form of an LSI (Large Scale Integration) is as large as 1.5 million gates, and thus, costs are high and the installation area is large. 
     Accordingly, it is an object of the present invention to provide TV-video accelerated super-resolution processing methods, TV-video accelerated super-resolution processing devices using the same, first to sixth accelerated super-resolution processing programs, and first and second storage media for solving these problems and allowing super-resolution processing of TV video. 
     Solution to Problem 
     In order to solve the problems described above, the present invention provides a TV-video accelerated super-resolution processing method using an accelerated algorithm newly invented by the inventor of the present invention, a TV-video accelerated super-resolution processing device based on the method, first to sixth accelerated super-resolution processing programs, and first and second storage media. In this accelerated algorithm, since iterations are executed in an accelerated manner, a small number of iterations suffices. Thus, compared with the algorithm used in the TV-video super-resolution processing method invented by the inventor of the present invention and for which a patent application has been filed, it becomes possible to considerably reduce the number of processing steps. 
     A first invention according to the present invention relates to a TV-video accelerated super-resolution processing method for reducing optical degradation from a frame included in single-frame TV video signals to restore the degraded TV video signals to the pre-degradation single-frame TV video signals. The TV-video accelerated super-resolution processing method of the first invention according to the present invention is characterized by including (S 1 ) a step of setting a maximum number of iterations; (S 2 ) a degradation-index designating step of designating a degradation index suitable for a degradation state of the TV video while the TV video is being viewed; (S 3 ) a PSF (Point Spread Function) preparing step of preparing a first PSF luminance distribution associated with the degradation index and a series of PSF luminance distributions derived from the first PSF luminance distribution and organized in association with numbers of iterations; (S 4 ) a degraded-image preparing step of preparing, from single-frame TV video signals, a luminance distribution of a degraded image constituted of a single-frame luminance distribution; (S 5 ) a restored-image-initial-value preparing step of setting the luminance distribution of the degraded image as an estimated luminance distribution of restored-image initial values; (S 6 ) a PSF-size obtaining step of obtaining a PSF size, the PSF size referring to an image size that is the same among the series of PSF luminance distributions; (S 7 ) a first resetting step of setting a counter that counts the number of iterations to 1; (S 8 ) a first restored-image-initial-value correcting step of copying the estimated luminance distribution of the restored-image initial values, setting the estimated luminance distribution as an estimated luminance distribution of corrected-restored-image initial values, and correcting the estimated luminance distribution of the corrected-restored-image initial values on the basis of the PSF size; (S 9 ) a PSF selecting step of selecting one PSF luminance distribution associated with the value of the counter from the series of PSF luminance distributions and setting the selected one as a PSF luminance distribution; (S 10 ) a step of convolving the estimated luminance distribution of the corrected-restored-image initial values with the PSF luminance distribution to obtain a first function; (S 11 ) a step of inverting the first function to obtain a second function; (S 12 ) a step of multiplying the second function by the luminance distribution of the degraded image to obtain a third function; (S 13 ) a step of multiplying the estimated luminance distribution of the restored-image initial values by the third function to obtain an estimated luminance distribution of a restored image; (S 14 ) a step of incrementing the counter by 1; (S 15 ) a step of testing a hypothesis that the value of the counter is greater than or equal to the maximum number of iterations, proceeding to step (S 16 ) if the test result is false, and proceeding to step (S 18 ) if the test result is true; (S 16 ) a step of substituting the estimated luminance distribution of the restored image for the estimated luminance distribution of the restored-image initial values; (S 17 ) a step of returning to step (S 8 ); (S 18 ) a step of outputting the estimated luminance distribution of the restored image as a luminance distribution of a maximum-likelihood restored image; (S 19 ) a preparing step constituted of steps (S 1 ) to (S 7 ); (S 20 ) a first image restoring step constituted of steps (S 8 ) to (S 18 ), and the TV-video accelerated super-resolution processing method is also characterized by including (S 21 ) a first accelerated super-resolution processing step of completing the maximum number of iterations by executing iterations in ascending order of the index on S of steps in the preparing step S 19  and the first image restoring step S 20  and outputting the luminance distribution of the maximum-likelihood restored image; and (S 22 ) a TV-video rendering step of rendering the luminance distribution of the maximum-likelihood restored image into single-frame TV video signals and outputting the TV video signals as super-resolution TV video signals. The first invention is the same as the invention described in Claim  1 . 
     A second invention according to the present invention relates to a second aspect of the PSF preparing step constituting the TV-video accelerated super-resolution processing method of the first invention. The second aspect of the PSF preparing step is characterized by including (S 30 ) a step of searching, by using the degradation index, a PSF database created by organizing PSF luminance distributions in one-to-one association with degradation indices and setting a hit PSF luminance distribution as a first PSF luminance distribution; (S 31 ) a step of inputting 1 to and thereby resetting a second counter that counts numbers; (S 32 ) a step of setting the first PSF luminance distribution as a luminance distribution of PSF initial values; (S 33 ) a step of incrementing the second counter by 1; (S 34 ) a step of testing a hypothesis that the value of the second counter has exceeded the maximum number of iterations, proceeding to step (S 35 ) if the test result is false, and jumping to step (S 38 ) if the test result is true; (S 35 ) a step of restoring a luminance distribution of PSF initial values through a PSF restoring step to obtain a luminance distribution of a maximum-likelihood restored PSF; (S 36 ) a step of setting the luminance distribution of the maximum-likelihood restored PSF as an n-th PSF luminance distribution, where n signifies the value of the second counter; (S 37 ) a step of returning to step (S 33 ); and (S 38 ) a step of connecting the first PSF luminance distribution to the n_max-th PSF luminance distribution in that order to form a series of PSF luminance distributions, where n_max signifies the maximum number of iterations and n signifies a natural number less than n_max, and labeling the series of PSF luminance distributions with the degradation indices to create the series of PSF luminance distributions associated with the degradation indices. The second invention is the same as the invention described in Claim  2 . 
     A third invention according to the present invention relates to a third aspect of the PSF preparing step constituting the TV-video accelerated super-resolution processing method of the first invention. The third aspect of the PSF preparing step is characterized by including: (S 40 ) a step of setting the maximum number of iterations to 5; (S 41 ) a step of executing the PSF preparing step in advance for all the pairs of degradation indices and PSF luminance distributions associated therewith in the PSF database to obtain a series of PSF luminance distributions for each of the degradation indices and editing the series of PSF luminance distributions for each of the degradation indices to prepare an extended PSF database in which the series of PSF luminance distributions is organized in association with the degradation indices; and (S 42 ) a step of searching the extended PSF database by using the degradation index and retrieving and outputting a hit series of PSF luminance distributions. The third invention is the same as the invention described in Claim  3 . 
     A fourth invention according to the present invention relates to a PSF restoring step constituting the second aspect of the PSF preparing step of the second invention. The PSF restoring step is characterized by including (S 50 ) a step of assigning 6 to the maximum number of iterations; (S 51 ) a step of considering the luminance distribution of the PSF initial values as a luminance distribution of a degraded image and setting the luminance distribution as a degraded PSF luminance distribution; (S 52 ) a step of setting the luminance distribution of the PSF initial values as an estimated luminance distribution of restored PSF initial values; (S 53 ) a step of assigning 1 to and thereby resetting the counter; (S 54 ) a restored-PSF-initial-value correcting step of setting the estimated luminance distribution  20  of the restored-PSF initial values as an estimated luminance distribution  21  of corrected-restored-PSF initial values and, when convolving the luminance distribution  15  of the PSF initial values with the estimated luminance distribution  21  of the corrected-restored-PSF initial values, calculating a region where computation is difficult, the region occurring in a peripheral region in the estimated luminance distribution  21  of the corrected-restored-PSF initial values, on the basis of the image size of the luminance distribution  15  of the PSF initial values, copying the pixels associated with a top-edge boundary in the region where computation is difficult, pasting the copied pixels to the outside of the top-edge boundary of the estimated luminance distribution  21  of the corrected-restored-PSF initial values in mirror symmetry with respect to the top-edge boundary, and executing similar computations clockwise for a right edge, a bottom edge, and finally a left edge, thereby correcting the estimated luminance distribution  21  of the corrected-restored-PSF initial values; (S 55 ) a step of convolving the luminance distribution of the PSF initial values with the estimated luminance distribution of the corrected-restored-PSF initial values to obtain a fourth function; (S 56 ) a step of inverting the fourth function to obtain a fifth function; (S 57 ) a step of multiplying the fifth function by the degraded PSF luminance distribution to obtain a sixth function; (S 58 ) a step of multiplying the estimated luminance distribution of the restored-PSF initial values by the sixth function to obtain an estimated luminance distribution of a restored PSF; (S 59 ) a step of incrementing the counter by 1; (S 60 ) a step of testing a hypothesis that the value of the counter has exceeded the maximum number of iterations, proceeding to step (S 61 ) if the test result is false, and jumping to step (S 63 ) if the test result is true; (S 61 ) a step of substituting the estimated luminance distribution of the restored PSF for the estimated luminance distribution of the restored-PSF initial values; (S 62 ) a step of jumping to step (S 54 ); and (S 63 ) a step of outputting the estimated luminance distribution of the restored PSF as a luminance distribution of a maximum-likelihood restored PSF. The fourth invention is the same as the invention described in Claim  4 . 
     A fifth invention according to the present invention relates to the first restored-image-initial-value correcting step constituting the TV-video accelerated super-resolution processing method if the first invention. The first restored-image-initial-value correcting step is characterized by including (S 70 ) a step of setting the estimated luminance distribution of the restored-image initial values as an estimated luminance distribution of corrected-restored-image initial values; (S 71 ) a step of calculating, on the basis of the PSF size, a region where computation is difficult, the region occurring in a peripheral region in the estimated luminance distribution of the corrected-restored-image initial values when convolving one of the series of PSF luminance distributions with the estimated luminance distribution of the corrected-restored-image initial values; (S 72 ) a step of copying the pixels in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, individually inverting the copied pixels in mirror symmetry with respect to the four edges of the estimated luminance distribution of the corrected-restored-image initial values, and pasting the pixels to the outside of the boundaries at the four edges of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution; (S 73 ) a step of copying the pixels in a top-left corner region in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, rotating the copied pixels in the top-left corner region by 180 degrees about the vertex at the top-left corner, and pasting the pixels to a blank region generated in the top-left corner region of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution; (S 74 ) a step of copying the pixels in a top-right corner region in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, rotating the copied pixels in the top-right corner region by 180 degrees about the vertex at the top-right corner, and pasting the pixels to a blank region generated in the top-right corner region of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution; (S 75 ) a step of copying the pixels in a bottom-left corner region in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, rotating the copied pixels in the bottom-left corner region by 180 degrees about the vertex at the top-left corner, and pasting the pixels to a blank region generated in the bottom-left corner region of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution; and (S 76 ) a step of copying the pixels in a bottom-right corner region in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, rotating the copied pixels in the bottom-right corner region by 180 degrees about the vertex at the top-right corner, and pasting the pixels to a blank region generated in the bottom-right corner region of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution. The fifth invention is the same as the invention described in Claim  5 . 
     A sixth invention according to the present invention relates to a second aspect of the first image restoring step constituting the TV-video accelerated super-resolution processing method of the first invention. The second aspect of the first image restoring step is characterized by including (S 80 ) a PSF providing step of providing an n-th iteration of a first single-iteration image restoring step with an n-th PSF luminance distribution as a PSF luminance distribution among the series of PSF luminance distributions, where n_max signifies the maximum number of iterations and n signifies a natural number less than n_max; (S 81 ) the single-iteration image restoring step of executing a computation corresponding to one iteration in iterations based on a formula of Bayse probability theory from the PSF luminance distribution, the estimated luminance distribution of the restored-image initial values, and the luminance distribution of the degraded image to obtain and output an estimated luminance distribution of a restored image having a maximum likelihood for the luminance distribution of the degraded image; the single-iteration image restoring step S 81  including (S 82 ) a second restored-image-initial-value correcting step, constituted of the same processing procedure as the first restored-image-initial-value correcting step, of correcting the estimated luminance distribution of the restored-image initial values on the basis of the PSF size to obtain an estimated luminance distribution of corrected-restored-image initial values; (S 83 ) a step of convolving the PSF luminance distribution with the estimated luminance distribution of the corrected-restored-image initial values to obtain a seventh function; (S 84 ) a step of inverting the seventh function to obtain an eighth function; (S 85 ) a step of multiplying the eighth function by the luminance distribution of the degraded image to obtain a ninth function; (S 86 ) a step of multiplying the estimated luminance distribution of the restored-image initial values by the ninth function to obtain an estimated luminance distribution of a restored image; and (S 87 ) a step of outputting the estimated luminance distribution of the restored image, and (S 88 ) the second aspect of the first image restoring step is characterized by being a second image restoring step constituted of a series connection of n_max iterations configured by connecting the output of step (S 87 ) of the n-th iteration S 81 - n  of the first single-iteration image restoring step to step (S 82 ) of the (n+1)-th iteration S 81 -( n+ 1) of the first single-iteration image restoring step, and in the second image restoring step S 88 , n_max iterations, corresponding to the number of iterations of the first single-iteration image restoring step S 81  connected in series, are executed, and the estimated luminance distribution of the restored image output from the n_max-th iteration S 81 - n _max of the first single-iteration image restoring step is output as a luminance distribution of a maximum-likelihood restored image. The sixth invention is the same as the invention described in Claim  6 . 
     A seventh invention according to the present invention relates to a third aspect of the first image restoring step constituting the TV-video accelerated super-resolution processing program of the first invention. The third aspect of the first image restoring step is characterized by including (S 90 ) a step of assigning 0 to and thereby resetting the counter; (S 91 ) a step of assigning 1 to and thereby resetting the second counter; (S 92 ) a step of testing a hypothesis that the value of the counter is not 0, proceeding to step (S 93 ) if the test result is false, and jumping to step (S 96 ) if the test result is true; (S 93 ) a step of transferring the luminance distribution of the degraded image to a buffer for saving the degraded image and to a buffer for the restored-image initial values; (S 94 ) a step of jumping to step (S 96 ); (S 95 ) a step of transferring an estimated luminance distribution of a restored image in step (S 102 ) to the buffer for the restored-image initial values; (S 96 ) a step of setting an m-th PSF luminance distribution in the series of PSF luminance distributions as a PSF luminance distribution, where m signifies the value of the second counter; (S 97 ) a step of reading the estimated luminance distribution of the restored-image initial values from the buffer for the restored-image initial values; (S 98 ) a third restored-image-initial-value correcting step, constituted of the same processing procedure as the first restored-image-initial-value correcting step, of correcting the estimated luminance distribution of the restored-image initial values on the basis of the PSF size and setting the result as an estimated luminance distribution of corrected-restored-image initial values; (S 99 ) a step of convolving the PSF luminance distribution with the estimated luminance distribution of the corrected-restored-image initial values to obtain a tenth function; (S 100 ) a step of inverting the tenth function to obtain an eleventh function; (S 101 ) a step of reading the luminance distribution of the degraded image from the buffer for saving the degraded image and multiplying the eleventh function by the luminance distribution to obtain a twelfth function; (S 102 ) a step of multiplying the estimated luminance distribution of the restored-image initial values by the twelfth function to obtain an estimated luminance distribution of a restored image; (S 103 ) a step of incrementing the counter by 1; (S 104 ) a step of incrementing the second counter by 1; (S 105 ) a step of testing a hypothesis that the value of the counter has exceeded the maximum number of iterations, jumping to step (S 95 ) if the test result is false, and proceeding to step (S 106 ) if the test result is true; and (S 106 ) a step of outputting the estimated luminance distribution of the restored image as a luminance distribution of a maximum-likelihood restored image, and (S 107 ) the third aspect of the first image restoring step is a third image restoring step of completing the maximum number of iterations by executing iterations in ascending order of the index on S in the individual steps and outputting the maximum-likelihood restored image having a maximum likelihood. The seventh invention is the same as the invention described in Claim  7 . 
     An eighth invention according to the present invention relates to the degraded-image preparing step constituting the TV-video accelerated super-resolution processing method of the first invention. The degraded-image preparing step is characterized by including (S 110 ) an RGB-signal extracting step of extracting RGB signals constituting a frame from TV video signals for the frame; (S 111 ) a delaying step of outputting, with a delay corresponding to one frame, the TV video signals remaining after extracting the RGB signals from the single-frame TV video signals; (S 112 ) a YUV conversion step of subjecting the RGB signals to YUV conversion to obtain YUV signals; (S 113 ) a Y-degraded-image extracting step of extracting a luminance distribution of a degraded image constituted of only Y signals representing luminance components among the YUV signals to obtain a luminance distribution of a Y degraded image and keeping a distribution of a U degraded image constituted of only the remaining U signals and a distribution of a V degraded image constituted of only the remaining V signals; and (S 114 ) a degamma processing step of executing degamma processing of the luminance distribution of the Y degraded image to obtain and output a luminance distribution of a degraded image constituted of a single-frame luminance distribution. The eighth invention is the same as the invention described in Claim  8 . 
     A ninth invention according to the present invention relates to the TV-vide rendering step constituting the TV-video accelerated super-resolution processing method of the first invention. The TV-video rendering step is characterized by including (S 120 ) a gamma processing step of executing gamma processing of the luminance distribution of the maximum-likelihood restored image; (S 121 ) a restored-image combining step of combining the distribution of the U degraded image and the distribution of the V degraded image kept in the Y-degraded-image extracting step with the luminance distribution of the maximum-likelihood restored image after the gamma processing constituted of Y components to obtain a distribution of a single YUV restored image; (S 122 ) an RGB conversion step of executing RGB conversion of the distribution of the YUV restored image to obtain a distribution of an RGB restored image; (S 123 ) an RGB-signal conversion step of reading the distribution of the RGB restored image and outputting RGB signals; and (S 124 ) a TV-video-signal combining step of combining the RGB signals with the remaining TV video signals output in the delaying step to obtain and output super-resolution TV video signals constituted of single-frame TV video signals. The ninth invention is the same as the invention described in Claim  9 . 
     A tenth invention according to the present invention relates to the PSF luminance distributions of the first to seventh inventions constituting the TV-video accelerated super-resolution processing methods. The PSF luminance distributions are characterized by being constituted of frameless square pixels of the same size, constituting two-dimensional normal distributions in which the centers are brightest, and having a size of 5×5 pixels. The tenth invention is the same as the invention described in Claim  10 . 
     An eleventh invention according to the present invention is a first accelerated super-resolution processing program for causing a computer to execute the preparing step and first image restoring step constituting the TV-video accelerated super-resolution processing method of the first invention. The eleventh invention is the same as the invention described in Claim  11 . 
     A twelfth invention according to the present invention is a second accelerated super-resolution processing program for causing a computer to execute the preparing step constituting the TV-video accelerated super-resolution processing method of the first invention and the second image restoring step constituting the TV-video accelerated super-resolution processing method of the sixth invention. The twelfth invention is the same as the invention described in Claim  12 . 
     A thirteenth invention according to the present invention is a third accelerated super-resolution processing program for causing a computer to execute the preparing step constituting the TV-video accelerated super-resolution processing method of the first invention and the third image restoring step constituting the TV-video accelerated super-resolution processing method of the seventh invention. The thirteenth invention is the same as the invention described in Claim  13 . 
     Each of the first accelerated super-resolution processing program, the second accelerated super-resolution processing program, and the third accelerated super-resolution processing program is written by using languages that can be read and executed by a computer, for example, C++, XTML, HTML, and JAVA (registered trademark). In the present invention, C++, XTML, HTML, and JAVA (registered trademark) are used. 
     A fourteenth invention according to the present invention is a first storage medium characterized in that the first accelerated super-resolution processing program of the eleventh invention, the second accelerated super-resolution processing program of the twelfth invention, and the third accelerated super-resolution processing program of the thirteenth invention are all encrypted, in that these encrypted first accelerated super-resolution processing program, second accelerated super-resolution processing program, and third accelerated super-resolution processing program are stored, and in that the storage medium can be connected to a computer and can be read by the computer. The fourteenth invention is the same as the invention described in Claim  14 . 
     In the present invention, as the first storage medium, a USB (Universal Serial Bus) flash memory stick having a capacity not less than 8 GBytes and supporting encrypted storage can be used. As other examples, a CD (Compact Disk), a DVD (Digital Versatile Disk), a flash memory card, an external HDD (Hard Disk Drive), an external SDD (Solidstate Disk Drive), etc. having a capacity not less than 8 GBytes and supporting encrypted storage can be used. 
     A fifteenth invention according to the present invention relates to a TV-video accelerated super-resolution processing device for reducing optical degradation from a frame included in single-frame TV video signals to restore the degraded TV video signals to the pre-degradation single-frame TV video signals in accordance with the TV-video accelerated super-resolution processing methods constituted of the first to fifth and eighth to tenth inventions. The TV-video accelerated super-resolution processing device is characterized by including (W 1 ) a means for setting a maximum number of iterations; (W 2 ) a degradation-index designating means for designating a degradation index suitable for a degradation state of the TV video while the TV video is being viewed; (W 3 ) a PSF preparing means for preparing a first PSF luminance distribution associated with the degradation index and a series of PSF luminance distributions derived from the first PSF luminance distribution and organized in association with numbers of iterations; (W 4 ) a degraded-image preparing means for preparing, from single-frame TV video signals, a luminance distribution of a degraded image constituted of a single-frame luminance distribution; (W 5 ) a restored-image-initial-value preparing means for setting the luminance distribution of the degraded image as an estimated luminance distribution of restored-image initial values; (W 6 ) a PSF-size obtaining means for obtaining a PSF size, the PSF size referring to an image size that is the same among the series of PSF luminance distributions; (W 7 ) a first resetting means for setting a counter that counts the number of iterations to 1; (W 8 ) a first restored-image-initial-value correcting means for copying the estimated luminance distribution of the restored-image initial values, setting the estimated luminance distribution as an estimated luminance distribution of corrected-restored-image initial values, and correcting the estimated luminance distribution of the corrected-restored-image initial values on the basis of the PSF size; (W 9 ) a PSF selecting means for selecting one PSF luminance distribution associated with the value of the counter from the series of PSF luminance distributions and setting the selected one as a PSF luminance distribution; (W 10 ) a means for convolving the estimated luminance distribution of the corrected-restored-image initial values with the PSF luminance distribution to obtain a thirteenth function; (W 11 ) a means for inverting the thirteenth function to obtain a fourteenth function; (W 12 ) a means for multiplying the fourteenth function by the luminance distribution of the degraded image to obtain a fifteenth function; (W 13 ) a means for multiplying the estimated luminance distribution of the restored-image initial values by the fifteenth function to obtain an estimated luminance distribution of a restored image; (W 14 ) a means for incrementing the counter by 1; (W 15 ) a means for testing a hypothesis that the value of the counter is greater than or equal to the maximum number of iterations, proceeding to means (W 16 ) if the test result is false, and proceeding to means (W 18 ) if the test result is true; (W 16 ) a means for substituting the estimated luminance distribution of the restored image for the estimated luminance distribution of the restored-image initial values; (W 17 ) a means for returning to means (W 8 ); (W 18 ) a means for outputting the estimated luminance distribution of the restored image as a luminance distribution of a maximum-likelihood restored image; (W 19 ) a preparing means constituted of means (W 1 ) to (W 7 ); (W 20 ) a first image restoring means constituted of means (W 8 ) to (W 18 ), and the TV-video accelerated super-resolution processing device is also characterized by including (W 21 ) a first accelerated super-resolution processing means for completing the maximum number of iterations by executing iterations in ascending order of the index on W of means in the preparing means W 19  and the first image restoring means W 20  and outputting the luminance distribution of the maximum-likelihood restored image; and (W 22 ) a TV-video rendering means for rendering the luminance distribution of the maximum-likelihood restored image into single-frame TV video signals and outputting the TV video signals as super-resolution TV video signals. The fifteenth invention is the same as the invention described in Claim  15 . 
     A sixteenth invention according to the present invention relates to a second aspect of the PSF preparing means constituting the TV-video accelerated super-resolution processing device of the fifteenth invention. The second aspect of the PSF preparing means is characterized by including (W 30 ) a means for searching, by using the degradation index, a PSF database created by organizing PSF luminance distributions in one-to-one association with degradation indices and setting a hit PSF luminance distribution as a first PSF luminance distribution; (W 31 ) a means for inputting 1 to and thereby resetting a second counter that counts numbers; (W 32 ) a means for setting the first PSF luminance distribution as a luminance distribution of PSF initial values; (W 33 ) a means for incrementing the second counter by 1; (W 34 ) a means for testing a hypothesis that the value of the second counter has exceeded the maximum number of iterations, proceeding to means (W 35 ) if the test result is false, and jumping to means (W 38 ) if the test result is true; (W 35 ) a means for restoring a luminance distribution of PSF initial values with a PSF restoring means to obtain a luminance distribution of a restored PSF; (W 36 ) a means for setting the luminance distribution of the restored PSF as an n-th PSF luminance distribution, where n signifies the value of the second counter; (W 37 ) a means for returning to means (W 33 ); and (W 38 ) a means for connecting the first PSF luminance distribution to the n_max-th luminance distribution in that order to form a series of PSF luminance distributions, where n_max signifies the maximum number of iterations and n signifies a natural number less than n_max, and labeling the series of PSF luminance distributions with the degradation indices to create the series of PSF luminance distributions associated with the degradation indices. The sixteenth invention is the same as the invention described in Claim  16 . 
     A seventeenth invention according to the present invention relates to a third aspect of the PSF preparing means constituting the TV-video accelerated super-resolution processing device of the fifteenth invention. The third aspect of the PSF preparing means is characterized by including (W 40 ) a means for setting the maximum number of iterations to 5; (W 41 ) a means for executing the PSF preparing means in advance for all the pairs of degradation indices and PSF luminance distributions associated therewith in the PSF database to obtain a series of PSF luminance distributions for each of the degradation indices and editing the series of PSF luminance distributions for each of the degradation indices to prepare an extended PSF database in which the series of PSF luminance distributions is organized in association with the degradation indices; and (W 42 ) a means for searching the extended PSF database by using the degradation index and retrieving a hit series of PSF luminance distributions. The seventeenth invention is the same as the invention described in Claim  17 . 
     An eighteenth invention according to the present invention relates to a PSF restoring means constituting the TV-video accelerated super-resolution processing device of the sixteenth invention. The PSF restoring means is characterized by including (W 50 ) a means for assigning 6 to the maximum number of iterations; (W 51 ) a means for considering the luminance distribution of the PSF initial values as a luminance distribution of a degraded image and setting the luminance distribution as a degraded PSF luminance distribution; (W 52 ) a means for setting the luminance distribution of the PSF initial values as an estimated luminance distribution of restored PSF initial values; (W 53 ) a means for assigning 1 to and thereby resetting the counter; (W 54 ) a restored-PSF-initial-value correcting means for setting the estimated luminance distribution of the restored-PSF initial values as an estimated luminance distribution of corrected-restored-PSF initial values and, when convolving the luminance distribution of the PSF initial values with the estimated luminance distribution of the corrected-restored-PSF initial values, calculating a region where computation is difficult, the region occurring in a peripheral region in the estimated luminance distribution of the corrected-restored-PSF initial values, on the basis of the image size of the luminance distribution of the PSF initial values, copying the pixels associated with a top-edge boundary in the region where computation is difficult, pasting the copied pixels to the outside of the top-edge boundary of the estimated luminance distribution of the corrected-restored-PSF initial values in mirror symmetry with respect to the top-edge boundary, and executing similar computations clockwise for a right edge, a bottom edge, and finally a left edge, thereby correcting the estimated luminance distribution of the corrected-restored-PSF initial values; (W 55 ) a means for convolving the luminance distribution of the PSF initial values with the estimated luminance distribution of the corrected-restored-PSF initial values to obtain a sixteenth function; (W 56 ) a means for inverting the sixteenth function to obtain a seventeenth function; (W 57 ) a means for multiplying the seventeenth function by the degraded PSF luminance distribution to obtain an eighteenth function; (W 58 ) a means for multiplying the estimated luminance distribution of the restored-PSF initial values by the eighteenth function to obtain an estimated luminance distribution of a restored PSF; (W 59 ) a means for incrementing the counter by 1; (W 60 ) a means for testing a hypothesis that the value of the counter has exceeded the maximum number of iterations, proceeding to means (W 61 ) if the test result is false, and jumping to means (W 63 ) if the test result is true; (W 61 ) a means for substituting the estimated luminance distribution of the restored PSF for the estimated luminance distribution of the restored-PSF initial values; (W 62 ) a means for jumping to means (W 54 ); and (W 63 ) a means for outputting the estimated luminance distribution of the restored PSF as a luminance distribution of a maximum-likelihood restored PSF. The eighteenth invention is the same as the invention described in Claim  18 . 
     A nineteenth invention according to the present invention relates to the first restored-image-initial-value correcting means constituting the TV-video accelerated super-resolution processing device of the fifteenth invention. The first restored-image-initial-value correcting means is characterized by including (W 70 ) a means for setting the estimated luminance distribution of the restored-image initial values as an estimated luminance distribution of corrected-restored-image initial values; (W 71 ) a means for calculating, on the basis of the PSF size, a region where computation is difficult, the region occurring in a peripheral region in the estimated luminance distribution of the corrected-restored-image initial values when convolving one of the series of PSF luminance distributions with the estimated luminance distribution of the corrected-restored-image initial values; (W 72 ) a means for copying the pixels in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, individually inverting the copied pixels in mirror symmetry with respect to the four edges of the estimated luminance distribution of the corrected-restored-image initial values, and pasting the pixels to the outside of the boundaries at the four edges of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution; (W 73 ) a means for copying the pixels in a top-left corner region in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, rotating the copied pixels in the top-left corner region by 180 degrees about the vertex at the top-left corner, and pasting the pixels to a blank region generated in the top-left corner region of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution; (W 74 ) a means for copying the pixels in a top-right corner region in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, rotating the copied pixels in the top-right corner region by 180 degrees about the vertex at the top-right corner, and pasting the pixels to a blank region generated in the top-right corner region of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution; (W 75 ) a means for copying the pixels in a bottom-left corner region in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, rotating the copied pixels in the bottom-left corner region by 180 degrees about the vertex at the top-left corner, and pasting the pixels to a blank region generated in the bottom-left corner region of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution; and (W 76 ) a means for copying the pixels in a bottom-right corner region in the region where computation is difficult in the estimated luminance distribution of the corrected-restored-image initial values, rotating the copied pixels in the bottom-right corner region by 180 degrees about the vertex at the top-right corner, and pasting the pixels to a blank region generated in the bottom-right corner region of the estimated luminance distribution of the corrected-restored-image initial values to correct the estimated luminance distribution. The nineteenth invention is the same as the invention described in Claim  19 . 
     A twentieth invention according to the present invention relates to a second aspect of the first image restoring means constituting the TV-video accelerated super-resolution processing device of the fifteenth invention. The second aspect of the first image restoring means is characterized by including (W 80 ) a PSF providing means for providing an n-th stage of a first single-iteration image restoring means with an n-th PSF luminance distribution as a PSF luminance distribution among the series of PSF luminance distributions, where n_max signifies the maximum number of iterations and n signifies a natural number less than n_max; (W 81 ) the single-iteration image restoring means for executing a computation corresponding to one iteration in iterations based on a formula of Bayse probability theory from the PSF luminance distribution, the estimated luminance distribution of the restored-image initial values, and the luminance distribution of the degraded image to obtain and output an estimated luminance distribution of a restored image having a maximum likelihood for the luminance distribution of the degraded image; (W 82 ) a means for obtaining an estimated luminance distribution of corrected-restored-image initial values by a second restored-image-initial-value correcting means constituted of the same configuration as the first restored-image-initial-value correcting means; (W 83 ) a means for convolving the PSF luminance distribution with the estimated luminance distribution of the corrected-restored-image initial values to obtain a nineteenth function; (W 84 ) a means for inverting the nineteenth function to obtain a twentieth function; (W 85 ) a means for multiplying the twentieth function by the luminance distribution of the degraded image to obtain a twenty-first function; (W 86 ) a means for multiplying the estimated luminance distribution of the restored-image initial values by the twenty-first function to obtain an estimated luminance distribution of a restored image; (W 87 ) a means for outputting the estimated luminance distribution of the restored image; and (W 88 ) the second aspect of the first image restoring means is a second image restoring means constituted of a series connection of n_max stages configured by connecting the output of means (W 87 ) of the n-th stage W 81 - n  of the first single-iteration image restoring means to means (W 82 ) of the (n+1)-th stage W 81 -( n+ 1) of the first single-iteration image restoring means, and is characterized in that, in the second image restoring means W 88 , n_max iterations, corresponding to the number of stages of the first single-iteration image restoring means W 81  connected in series, are executed, and the estimated luminance distribution of the restored image output from the n_max-th stage W 81 - n _max of the first single-iteration image restoring means is output as a luminance distribution of a maximum-likelihood restored image. The twentieth invention is the same as the invention described in Claim  20 . 
     A twenty-first invention according to the present invention relates to a third aspect of the first image restoring means constituting the TV-video super-resolution processing device of the fifteenth invention. The third aspect of the first image restoring means is characterized by including (W 90 ) a means for assigning 0 to and thereby resetting the counter; (W 91 ) a means for assigning 1 to and thereby resetting the second counter; (W 92 ) a means for testing a hypothesis that the value of the counter is not 0, proceeding to means (W 93 ) if the test result is false, and jumping to means (W 96 ) if the test result is true; (W 93 ) a means for transferring the luminance distribution of the degraded image to a buffer for saving the degraded image and to a buffer for the restored-image initial values; (W 94 ) a means for jumping to means (W 96 ); (W 95 ) a means for transferring an estimated luminance distribution of a restored image of means (W 102 ) to the buffer for the restored-image initial values; (W 96 ) a means for setting an m-th PSF luminance distribution in the series of PSF luminance distributions as a PSF luminance distribution, where m signifies the value of the second counter; (W 97 ) a means for reading the estimated luminance distribution of the restored-image initial values from the buffer for the restored-image initial values; (W 98 ) a third restored-image-initial-value correcting means, constituted of the same configuration as the first restored-image-initial-value correcting means, for correcting the estimated luminance distribution of the restored-image initial values and setting the estimated luminance distribution as an estimated luminance distribution of corrected-restored-image initial values; (W 99 ) a means for convolving the PSF luminance distribution with the estimated luminance distribution of the corrected-restored-image initial values to obtain a twenty-second function; (W 100 ) a means for inverting the twenty-second function to obtain a twenty-third function; (W 101 ) a means for multiplying the twenty-third function by the luminance distribution of the degraded image to obtain a twenty-fourth function; (W 102 ) a means for multiplying the estimated luminance distribution of the restored-image initial values by the twenty-fourth function to obtain an estimated luminance distribution of a restored image; (W 103 ) a means for incrementing the counter by 1; (W 104 ) a means for incrementing the second counter by 1; (W 105 ) a means for testing a hypothesis that the value of the counter has exceeded the maximum number of iterations, jumping to means (W 95 ) if the test result is false, and proceeding to means (W 106 ) if the test result is true; and (W 106 ) a means for outputting the estimated luminance distribution of the restored image as a luminance distribution of a maximum-likelihood restored image, and is characterized in that (W 107 ) the third aspect of the first image restoring means is a third image restoring means for completing the maximum number of iterations by executing iterations in ascending order of the index on S of the individual means and outputting the maximum-likelihood restored image having a maximum likelihood. The twenty-first invention is the same as the invention described in Claim  21 . 
     A twenty-second invention according to the present invention relates to the degraded-image preparing means constituting the TV-video accelerated super-resolution processing device of the fifteenth invention. The degraded-image preparing means is characterized by including (W 110 ) an RGB-signal extracting means for extracting RGB signals constituting a frame from TV video signals for the frame; (W 111 ) a delaying means for outputting, with a delay corresponding to one frame, the TV video signals remaining after extracting the RGB signals from the single-frame TV video signals; (W 112 ) a YUV conversion means for subjecting the RGB signals to YUV conversion to obtain YUV signals; (W 113 ) a Y-degraded-image extracting means for extracting a luminance distribution of a degraded image constituted of only Y signals representing luminance components among the YUV signals to obtain a luminance distribution of a Y degraded image and keeping a distribution of a U degraded image constituted of only the remaining U signals and a distribution of a V degraded image constituted of only the remaining V signals; and (W 114 ) a degamma processing means for executing degamma processing of the luminance distribution of the Y degraded image to obtain and output a luminance distribution of a degraded image constituted of a single-frame luminance distribution. The twenty-second invention is the same as the invention described in Claim  22 . 
     A twenty-third invention according to the present invention relates to the TV-video rendering means constituting the TV-video accelerated super-resolution processing device of the fifteenth invention. The TV-video rendering means is characterized by including (W 120 ) a gamma processing means for executing gamma processing of the luminance distribution of the maximum-likelihood restored image; (W 121 ) a restored-image combining means for combining the distribution of the U degraded image and the distribution of the V degraded image kept by the Y-degraded-image extracting means with the luminance distribution of the maximum-likelihood restored image after the gamma processing constituted of Y components to obtain a distribution of a single YUV restored image; (W 122 ) an RGB conversion means for executing RGB conversion of the distribution of the YUV restored image to obtain a distribution of an RGB restored image; (W 123 ) an RGB-signal conversion means for reading the distribution of the RGB restored image and outputting RGB signals; and (W 124 ) a TV-video-signal combining means for combining the RGB signals with the remaining TV video signals output by the delaying means to obtain and output super-resolution TV video signals constituted of single-frame TV video signals. The twenty-third invention is the same as the invention described in Claim  23 . 
     A twenty-fourth invention according to the present invention is a fourth accelerated super-resolution processing program for implementing and executing the preparing means and first image restoring means constituting the TV-video accelerated super-resolution processing device of the fifteenth invention. The twenty-fourth invention is the same as the invention described in Claim  24 . 
     A twenty-fifth invention according to the present invention is a fifth accelerated super-resolution processing program for implementing and executing the preparing means constituting the TV-video accelerated super-resolution processing device of the fifteenth invention and the second image restoring means constituting the TV-video accelerated super-resolution processing device of the twentieth invention. The twenty-fifth invention is the same as the invention described in Claim  25 . 
     A twenty-sixth invention according to the present invention is a sixth accelerated super-resolution processing program for implementing and executing the preparing means constituting the TV-video accelerated super-resolution processing device of the fifteenth invention and the third image restoring means constituting the TV-video accelerated super-resolution processing device of the twenty-first invention. The twenty-sixth invention is the same as the invention described in Claim  26 . 
     Each of the fourth accelerated super-resolution processing program, the fifth accelerated super-resolution processing program, and the sixth accelerated super-resolution processing program is written by using languages that can be read and executed by a computer, for example, C++, XTML, HTML, and JAVA (registered trademark). In the present invention, C++, XTML, HTML, and JAVA (registered trademark) are used. 
     A twenty-seventh invention according to the present invention is a second storage medium wherein the fourth accelerated super-resolution processing program, the fifth accelerated super-resolution processing program, and the sixth accelerated super-resolution processing program are individually encrypted, these encrypted fourth accelerated super-resolution processing program, fifth accelerated super-resolution processing program, and sixth accelerated super-resolution processing program are stored, and the storage medium can be connected to a computer and can be read by the computer. 
     The same storage medium as the first storage medium can be used as the second storage medium according to the present invention. 
     Advantageous Effects of Invention 
     There has hitherto been a problem in that the number of gates in an LSI implementation of a device that executes super-resolution processing of TV video by continuously restoring an image only from information about a frame of the TV video is as large as 1.5 million gates, which is not economical. By applying the TV-video accelerated super-resolution processing methods and devices according to the present invention, an effect of reduction in the number of steps and the number of means, which makes it possible to obtain super-resolution images of a quality comparable to before through just two iterations, an effect of increased speed, an effect of substantially real-time processing, an effect of reduction in the number of gates in an LSI implementation to about seven thousand gates, which is about 3% compared with before, and an economical effect that the cost of an LSI implementation is inexpensive are realized at least partially. Furthermore, since the present invention is applicable irrespective of the type of radiation source for TV video, for example, video acquired by using an infrared camera or an X-ray camera may be used. That is, another advantage is afforded in that the range of applications is broad. 
    
    
     
       BRIEF DESCRIPTION OF DRAWINGS 
         FIG. 1  is a drawing showing an example of degraded information included in a frame of actual TV video. 
         FIG. 2  is a flowchart showing an example of a processing procedure in a TV-video accelerated super-resolution processing method of a first invention according to the present invention. 
         FIG. 3  is a flowchart showing an example of a processing procedure in a second aspect of a PSF preparing step of a second invention according to the present invention. 
         FIG. 4  is a flowchart showing an example of a processing procedure in a third aspect of a PSF preparing step of a third invention according to the present invention. 
         FIG. 5  is a flowchart showing an example of a processing procedure in a PSF restoring step of a fourth invention according to the present invention. 
         FIG. 6  is a flowchart showing an example of a processing procedure in a first restored-image-initial-value correcting step of a fifth invention according to the present invention. 
         FIG. 7  is a flowchart showing an example of a processing procedure in a second image restoring step, as a second aspect of a first image restoring step, of a sixth invention according to the present invention. 
         FIG. 8  is a flowchart showing an example of a processing procedure in a third image restoring step of a seventh invention according to the present invention. 
         FIG. 9  is a flowchart showing an example of a processing procedure in a degraded-image preparing step of an eighth invention according to the present invention. 
         FIG. 10  is a flowchart showing an example of a processing procedure in a TV-video rendering step of a ninth invention according to the present invention. 
         FIG. 11  is a flowchart showing an example of a PSF luminance distribution of a tenth invention according to the present invention. 
         FIG. 12  is a diagram showing an example relating to the configuration of a TV-video accelerated super-resolution processing device of a fifteenth invention according to the present invention. 
         FIG. 13  is a diagram showing an example relating to the configuration of a second aspect of a PSF preparing means of a sixteenth invention according to the present invention. 
         FIG. 14  is a diagram showing an example relating to the configuration of a third aspect of a PSF preparing means of a seventeenth invention according to the present invention. 
         FIG. 15  is a diagram showing an example of data in a PSF database according to the present invention. 
         FIG. 16  is a diagram showing an example of data in an extended PSF database according to the present invention. 
         FIG. 17  is a diagram showing an example relating to the configuration of a PSF restoring means of an eighteenth invention according to the present invention. 
         FIG. 18  is a diagram showing an example relating to the configuration of a first restored-image-initial-value correcting means of a nineteenth invention according to the present invention. 
         FIG. 19  is an illustration showing an example of correction in a region where computation is difficult, the region occurring in a peripheral region in an estimated luminance distribution of restored-image initial values obtained by the first restored-image-initial-value correcting means. 
         FIGS. 20A and 20B  are diagrams showing an example relating to the configuration of a second image restoring means, as a second aspect of the first image restoring means, of a twentieth invention according to the present invention. 
         FIGS. 21A and 21B  are diagrams showing an example relating to the configuration of a third image restoring means, as a third aspect of the first image restoring means, of a twenty-first invention according to the present invention. 
         FIG. 22  is a diagram showing an example relating to the configuration of a degraded-image preparing means of a twenty-second invention according to the present invention. 
         FIG. 23  is a diagram showing an example relating to the configuration of a TV-video rendering means of a twenty-third invention according to the present invention. 
         FIG. 24  is a diagram showing an example relating to the configuration of a TV-video accelerated super-resolution processing system of a first embodiment according to the present invention. 
         FIG. 25  is an illustration showing an example of the structure, as well as a state of its installation in a computer, of a first accelerated super-resolution processing program according to the present invention. 
         FIG. 26  is an illustration showing an example relating to the configuration of a super-resolution processing window according to the present invention. 
         FIG. 27  is a diagram showing, in the form of a transaction table, an example of a procedure for executing super-resolution processing in a TV-video accelerated super-resolution processing system according to the present invention. 
         FIG. 28  is a drawing showing an example of the state of super-resolution processing in the first embodiment according of the present invention. 
         FIG. 29  is a diagram showing an example relating to the internal configuration of a first set-top box according to the present invention. 
         FIG. 30  is an illustration showing an example of the set-up state of the first set-top box according to the present invention. 
         FIG. 31  is a chart showing an example of the relationship between the number of iterations and the LSI scale, based on development data of TV-video super-resolution processing methods by the inventor of the present invention. 
         FIG. 32  is a drawing showing an example of comparison of the super-resolution processing quality between related art by the inventor of the present invention and a TV-video accelerated super-resolution processing method. 
         FIG. 33  is a drawing showing an example of the relationship between the degree of degradation of a standard image and the super-resolution processing quality depending on the number of iterations. 
     
    
    
     DESCRIPTION OF EMBODIMENTS 
     The best mode for carrying out the present invention will be described with reference to the drawings as appropriate. 
     In the present invention, a degraded image, a PSF, and a restored image are individually constituted of an array of frameless square pixels of the same size. Each of the pixels is an RGB color pixel composed of a primary red component (R) having an 8-bit depth, a primary green component (G) having an 8-bit depth, and a primary blue component (B) having an 8-bit depth. In the case where a pixel has the same number of bits for the RGB components, the pixel becomes a grayscale pixel. In the present invention, a PSF is composed of only grayscale pixels. 
     In the present invention, in a degraded image, a PSF, and a restored image, the pixel at the top left corner is considered as the origin, an axis that is parallel to a row of pixels including the origin and extending along the horizontal direction without changing the row is considered as the x axis, and an axis that is parallel to a column of pixels including the origin and extending along the vertical direction without changing the column is considered as the y axis. All the pixels in a degraded image, a PSF, and a restored image can be designated by two-dimensional coordinates (x, y). 
     In the present invention, a degraded image and a restored image have the same image size and the same coordinates. In the present invention, however, since cases where an image is blurred to such an extent that it is unrecognizable are not considered, the peripheral region in a PSF is substantially zero, and in order to reduce the number of calculations, it is presupposed that the assumption holds true that the PSF luminance distribution does not change regardless of its position in a degraded image and a restored image. The PSF size used is 5×5 pixels. 
     In the present invention, only PSFs, degraded images, and restored images individually composed of luminance components are handled, and only luminance components are used in restoring computations. This is because this results in a reduction in the number of computations but does not cause changes in hue. It has been confirmed that the quality of super-resolution processing according to the method of the present invention is comparable to that in the case where the R, G, and B components are restored individually. 
     In the present invention, a PSF, a degraded image, and a restored image are individually composed of luminance components. Thus, these are individually referred to as a PSF luminance distribution, a luminance distribution of a degraded image, and an estimated luminance distribution of a restored image. A luminance distribution of a restored image is referred to as an estimated luminance distribution since an accurate luminance distribution of a restored image is unknown. When an image is restored by a TV-video accelerated super-resolution processing method according to the present invention, a restored image substantially converges to a state without optical degradation and is substantially comparable to an original image. Thus, a luminance distribution of a maximum-likelihood restored image is referred to as a luminance distribution. 
       FIG. 2  shows, in the form of a flowchart, an example of a processing procedure in a TV-video accelerated super-resolution processing method of a first invention according to the present invention. In the flowchart shown in  FIG. 2 , rectangles containing step numbers on white backgrounds signify steps other than determining steps, diamonds containing step numbers on white backgrounds signify determining steps, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies a maximum number of iterations 1, thick lines signify processing flows, circles having white backgrounds signify a joint, a start, and an end of processing, and black circles signify branches and joints of data. 
     The TV-video accelerated super-resolution processing method shown in  FIG. 2  is characterized by including (S 1 ) a step of setting a maximum number of iterations 1; (S 2 ) a degradation-index designating step of designating a degradation index  2  suitable for a degradation state of TV video while the TV video is being viewed; (S 3 ) a PSF preparing step of preparing a first PSF luminance distribution  14  associated with the degradation index  2  and a series of PSF luminance distributions  3  derived from the first PSF luminance distribution and organized in association with numbers of iterations; (S 4 ) a degraded-image preparing step of preparing, from single-frame TV video signals  5 , a luminance distribution  4  of a degraded image constituted of a single-frame luminance distribution; (S 5 ) a restored-image-initial-value preparing step of setting the luminance distribution  4  of the degraded image as an estimated luminance distribution  6  of restored-image initial values; (S 6 ) a PSF-size obtaining step of obtaining a PSF size  7 , the PSF size referring to an image size that is the same among the series of PSF luminance distributions  3 ; (S 7 ) a first resetting step of setting a counter that counts the number of iterations to 1; (S 8 ) a first restored-image-initial-value correcting step of copying the estimated luminance distribution  6  of the restored-image initial values, setting the estimated luminance distribution as an estimated luminance distribution  8  of corrected-restored-image initial values, and correcting the estimated luminance distribution  8  of the corrected-restored-image initial values on the basis of the PSF size  7 ; (S 9 ) a PSF selecting step of selecting one PSF luminance distribution associated with the value of the counter from the series of PSF luminance distributions  3  and setting the selected one as a PSF luminance distribution  9 ; (S 10 ) a step of convolving the estimated luminance distribution  8  of the corrected-restored-image initial values with the PSF luminance distribution  9  to obtain a first function; (S 11 ) a step of inverting the first function to obtain a second function; (S 12 ) a step of multiplying the second function by the luminance distribution  4  of the degraded image to obtain a third function; (S 13 ) a step of multiplying the estimated luminance distribution  6  of the restored-image initial values by the third function to obtain an estimated luminance distribution  10  of a restored image; (S 14 ) a step of incrementing the counter by 1; (S 15 ) a step of testing a hypothesis that the value of the counter is greater than or equal to the maximum number of iterations 1, proceeding to step (S 16 ) if the test result is false, and proceeding to step (S 18 ) if the test result is true; (S 16 ) a step of substituting the estimated luminance distribution  10  of the restored image for the estimated luminance distribution  6  of the restored-image initial values; (S 17 ) a step of returning to step (S 8 ); (S 18 ) a step of outputting the estimated luminance distribution  10  of the restored image as a luminance distribution  11  of a maximum-likelihood restored image; (S 19 ) a preparing step constituted of steps (S 1 ) to (S 7 ); (S 20 ) a first image restoring step constituted of steps (S 8 ) to (S 18 ), and is characterized by including (S 21 ) a first accelerated super-resolution processing step of completing the maximum number of iterations by executing iterations in ascending order of the index on S of steps in the preparing step S 19  and the first image restoring step S 20  and outputting the luminance distribution  11  of the maximum-likelihood restored image; and (S 22 ) a TV-video rendering step of rendering the luminance distribution  11  of the maximum-likelihood restored image into single-frame TV video signals and outputting the TV video signals as super-resolution TV video signals  12 . Referring to  FIG. 2 , the processing starts from step S 1  and ends at step S 22 . Since the TV-video accelerated super-resolution processing method shown in  FIG. 2  is a method of processing for a frame, it is necessary to continuously execute all the steps shown in  FIG. 2  on a frame-by-frame basis in order to generate video. 
     In the first image restoring step S 20 , iterations are executed according to equation 1 to obtain a luminance distribution  11  of a maximum-likelihood image from a luminance distribution  4  of degraded image. Equation 1 is obtained by rewriting equation 15 in Patent Literature 2, invented by the inventor of the present invention and registered, for accelerated computation such that real-value processing and a convolution are possible. Since a PSF is used instead of an OTF (Optical Transfer Function), which is a Fourier transform product of a PSF, and the phase is not taken into consideration, compared with the method according to equation 15 in Patent Literature 2, the restoration accuracy is reduced. However, since TV video is rarely blurred to such an extent that the image is unrecognizable, the method according to equation 1 works practically without problems. Furthermore, in the method according to equation 1, by using PSF luminance distributions derived from the same PSF and having degrees of restoration corresponding to numbers of iterations, a computation for convolving the result of computation in the parentheses with an inverted function of a PSF, which is necessary in the method according to equation 15 in Patent Literature 2, is omitted. Thus, the number of steps is reduced by 40%. Furthermore, accelerated computation becomes possible, making it possible to obtain a luminance distribution of a maximum-likelihood restored image that is comparable to a substantially converged state (a state extremely close to the pre-degradation state) with only a few iterations. 
     
       
         
           
             
               
                 
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     In equation 1, F signifies an estimated luminance distribution of a restored image, the index of F signifies that the value is a k-th value, G signifies a luminance distribution of a degraded image, H signifies a PSF luminance distribution, the index of H signifies that the value is a k-th value, and a symbol having an asterisk inside a circle signifies a convolution. Furthermore, k is a positive integer. When k is 1, F 1  signifies an estimated luminance distribution of restored-image initial values, and H1 signifies the first PSF luminance distribution. When k is n, F n  signifies an estimated luminance distribution of a restored image in the n-th iteration, and H n  signifies the n-th PSF luminance distribution. 
     Since the present invention is directed to TV video and TV video is rarely blurred to such an extent that the image is unrecognizable, a luminance distribution G of a degraded image is used as an estimated luminance distribution F 1  of the initial values of F in equation 1. 
     The convolution used in the present invention is a convolution integral. Equation 2 is an example of a formula of an ordinary convolution integral. Equation 2 indicates that F(i, j) is convolved with H(M, N) to obtain a result G(i, j). In the present invention, however, since the distributions of images having finite sizes are handled, data is discretized, and thus a linear convolution is used for a convolution integral. Equation 3 is an example of a formula of an ordinary linear convolution. 
     
       
         
           
             
               
                 
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     In equations 2 and 3, i, j, m, n, M, and N are positive integers. However, in the convolutions according to equations 2 and 3, a region that is to be excluded occurs in the larger one of F and H involved in the convolutions, and the region that is to be excluded can be represented by the greatest integer not exceeding half of the size of the smaller one of F and H. For example, in the case where F has a size not smaller than 100×100 pixels and H that is convolved with F has a size of 3×3 pixels, one pixel in a peripheral region in F becomes a region that is to be excluded. In the case where H that is convolved with F has a size of 5×5 pixels, two pixels in a peripheral region in F become a region that is to be excluded. 
     Accordingly, in the present invention, the number of peripheral pixels in a region that is to be excluded is calculated according to the size of H used, the outermost pixels of F existing in the region that is to be excluded are copied and pasted in mirror symmetry to the outside of the boundary of F to create new pixels, and then the position of the outermost edges, i.e., the image F and its size, is changed, which prevents the occurrence of a region that is to be excluded after the computation. At this time, pixels are copied and pasted on an edge-by-edge basis, clockwise starting from the top edge, to include the new pixels in the pixels of F proper, thereby preventing the occurrence of a region that is not copied and pasted at the four corners. For example, in the case where H has a size of 5×5 and F has a size of W×L, the size of F changes from W×L to W×(L+2) after the first copy and paste operation, the size of F changes from W×(L+2) to (W+2)×(L+2) after the second copy and paste operation, the size of F changes from (W+2)×(L+2) to (W+2)×(L+4) after the third copy and paste operation, and the size of F changes from (W+2)×(L+4) to (W+4)×(L+4) after the fourth copy and paste operation, whereby the entire size of (W+4)×(L+4) become filled with pixels. 
     In the PSF preparing step S 3 , the first PSF luminance distribution  14  associated with the degradation index  2  is used at the time of the first iteration, the second PSF luminance distribution is used at the time of the second iteration, and the n-th PSF luminance distribution is used at the time of the n-th iteration. The second PSF luminance distribution is obtained by restoring the first PSF luminance distribution in the PSF restoring step, the third PSF luminance distribution is obtained by restoring the second PSF luminance distribution in the PSF restoring step, and the n-th PSF luminance distribution is obtained by restoring the (n−1)-th PSF luminance distribution in the PSF restoring step. Thus, the second and subsequent PSF luminance distributions are all rooted in the first PSF luminance distribution  14  associated with the degradation index  2  and constitutes a series derived from the first PSF luminance distribution  14 . The first PSF luminance distribution  14  to the n-th PSF luminance distribution  17  form a series of PSF luminance distributions  3  associated with the degradation index  2 . 
       FIG. 3  shows, in the form of a flowchart, an example of a processing procedure in a second aspect S 3 - 2  of the PSF preparing step S 3  of a second invention according to the present invention. In the flowchart shown in  FIG. 3 , rectangles containing step numbers on white backgrounds signify steps other than determining steps, diamonds containing step numbers on white backgrounds signify determining steps, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, circles having white backgrounds signify a joint, a start, and an end of processing, and black circles signify branches and joints of data. 
     The second aspect S 3 - 2  of the PSF preparing step S 3  shown in  FIG. 3  is characterized by including (S 30 ) a step of searching, by using the degradation index  2 , a PSF database  13  created by organizing PSF luminance distributions in one-to-one association with degradation indices and setting a hit PSF luminance distribution  9  as a first PSF luminance distribution  14 ; (S 31 ) a step of inputting 1 to and thereby resetting a second counter that counts numbers; (S 32 ) a step of setting the first PSF luminance distribution  14  as a luminance distribution  15  of PSF initial values; (S 33 ) a step of incrementing the second counter by 1; (S 34 ) a step of testing a hypothesis that the value of the second counter has exceeded the maximum number of iterations 1, proceeding to step (S 35 ) if the test result is false, and terminating the procedure if the test result is true; (S 35 ) a step of restoring a luminance distribution  15  of PSF initial values through a PSF restoring step S 63  to obtain a luminance distribution  16  of a maximum-likelihood restored PSF; (S 36 ) a step of setting the luminance distribution  16  of the maximum-likelihood restored PSF as an n-th PSF luminance distribution  17 , where n signifies the value of the second counter; (S 37 ) a step of returning to step (S 33 ); and (S 38 ) a step of connecting the first PSF luminance distribution  14  to n_max-th PSF luminance distribution  25  in that order to form a series of PSF luminance distributions  3 , where n_max signifies the maximum number of iterations 1 and n signifies a natural number less than n_max, and labeling the series of PSF luminance distributions  3  with the degradation indices  2  to create the series of PSF luminance distributions  3  associated with the degradation indices  2 . 
       FIG. 4  shows, in the form of a flowchart, an example of a processing procedure in a third aspect S 3 - 3  of the PSF preparing step S 3  of a third invention according to the present invention. In the flowchart shown in  FIG. 4 , rectangles containing step numbers on white backgrounds signify steps other than determining steps, diamonds containing step numbers on white backgrounds signify determining steps, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, circles having white backgrounds signify a joint, a start, and an end of processing, and black circles signify branches and joints of data. 
     The third aspect S 3 - 3  of the PSF preparing step S 3  shown in  FIG. 4  is characterized by including (S 40 ) a step of setting the maximum number of iterations 1 to 5; (S 41 ) a step of executing the PSF preparing step in advance for all the pairs of degradation indices and PSF luminance distributions associated therewith in the PSF database  13  to obtain a series of PSF luminance distributions  3  for each of the degradation indices and editing the series of PSF luminance distributions for each of the degradation indices to prepare an extended PSF database  18  in which the series of PSF luminance distributions is organized in association with the degradation indices; and (S 42 ) a step of searching the extended PSF database  18  by using the degradation index  2  and retrieving a hit series of PSF luminance distributions  3 . 
       FIG. 5  shows, in the form of a flowchart, an example of a processing procedure in a PSF restoring step S 63  of a fourth invention according to the present invention. In the flowchart shown in  FIG. 5 , rectangles containing step numbers on white backgrounds signify steps other than determining steps, diamonds containing step numbers on white backgrounds signify determining steps, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, circles having white backgrounds signify a joint, a start, and an end of processing, and black circles signify branches and joints of data. 
     The PSF restoring step S 64  shown in  FIG. 5  is characterized by including (S 50 ) a step of assigning 6 to the maximum number of iterations 1; (S 51 ) a step of considering the luminance distribution  15  of the PSF initial values as a luminance distribution of a degraded image and setting the luminance distribution as a degraded PSF luminance distribution  19 ; (S 52 ) a step of setting the luminance distribution  15  of the PSF initial values as an estimated luminance distribution  20  of restored PSF initial values; (S 53 ) a step of assigning 1 to and thereby resetting the counter; (S 54 ) a restored-PSF-initial-value correcting step of setting the estimated luminance distribution  20  of the restored-PSF initial values as an estimated luminance distribution  21  of corrected-restored-PSF initial values and, when convolving the luminance distribution  15  of the PSF initial values with the estimated luminance distribution  21  of the corrected-restored-PSF initial values, calculating a region where computation is difficult, the region occurring in a peripheral region in the estimated luminance distribution  21  of the corrected-restored-PSF initial values, on the basis of the image size of the luminance distribution  15  of the PSF initial values, copying the pixels associated with a top-edge boundary in the region where computation is difficult, pasting the copied pixels to the outside of the top-edge boundary of the estimated luminance distribution  21  of the corrected-restored-PSF initial values in mirror symmetry with respect to the top-edge boundary, and executing similar computations clockwise for a right edge, a bottom edge, and finally a left edge, thereby correcting the estimated luminance distribution  21  of the corrected-restored-PSF initial values; (S 55 ) a step of convolving the luminance distribution  15  of the PSF initial values with the estimated luminance distribution  21  of the corrected-restored-PSF initial values to obtain a fourth function; (S 56 ) a step of inverting the fourth function to obtain a fifth function; (S 57 ) a step of multiplying the fifth function by the degraded PSF luminance distribution  19  to obtain a sixth function; (S 58 ) a step of multiplying the estimated luminance distribution  20  of the restored-PSF initial values by the sixth function to obtain an estimated luminance distribution  22  of a restored PSF; (S 59 ) a step of incrementing the counter by 1; (S 60 ) a step of testing a hypothesis that the value of the counter has exceeded the maximum number of iterations 1, proceeding to step (S 61 ) if the test result is false, and jumping to step (S 63 ) if the test result is true; (S 61 ) a step of substituting the estimated luminance distribution  22  of the restored PSF for the estimated luminance distribution  20  of the restored-PSF initial values; (S 62 ) a step of jumping to step (S 54 ); and (S 63 ) a step of outputting the estimated luminance distribution  22  of the restored PSF as a luminance distribution  16  of a maximum-likelihood restored PSF. 
       FIG. 6  shows, in the form of a flowchart, an example of a processing procedure in the first restored-image-initial-value correcting step S 8  of a fifth invention according to the present invention. In the flowchart shown in  FIG. 5 , rectangles containing step numbers on white backgrounds signify steps other than determining steps, diamonds containing step numbers on white backgrounds signify determining steps, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, circles having white backgrounds signify a joint, a start, and an end of processing, and black circles signify branches and joints of data. 
     The first restored-image-initial-value correcting step S 8  shown in  FIG. 6  is characterized by including (S 70 ) a step of setting the estimated luminance distribution  6  of the restored-image initial values as an estimated luminance distribution  8  of corrected-restored-image initial values; (S 71 ) a step of calculating, on the basis of the PSF size  7 , a region where computation is difficult, the region occurring in a peripheral region in the estimated luminance distribution  8  of the corrected-restored-image initial values when convolving one of the series of PSF luminance distributions  3  with the estimated luminance distribution  8  of the corrected-restored-image initial values; (S 72 ) a step of copying the pixels in the region where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, individually inverting the copied pixels in mirror symmetry with respect to the four edges of the estimated luminance distribution of the corrected-restored-image initial values, and pasting the pixels to the outside of the boundaries at the four edges of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 ; (S 73 ) a step of copying the pixels in a top-left corner region in the region where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, rotating the copied pixels in the top-left corner region by 180 degrees about the vertex at the top-left corner, and pasting the pixels to a blank region generated in the top-left corner region of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 ; (S 74 ) a step of copying the pixels in a top-right corner region in the region where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, rotating the copied pixels in the top-right corner region by 180 degrees about the vertex at the top-right corner, and pasting the pixels to a blank region generated in the top-right corner region of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 ; (S 75 ) a step of copying the pixels in a bottom-left corner region in the region where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, rotating the copied pixels in the bottom-left corner region by 180 degrees about the vertex at the top-left corner, and pasting the pixels to a blank region generated in the bottom-left corner region of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 ; and (S 76 ) a step of copying the pixels in a bottom-right corner region in the region where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, rotating the copied pixels in the bottom-right corner region by 180 degrees about the vertex at the top-right corner, and pasting the pixels to a blank region generated in the bottom-right corner region of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 . 
       FIG. 7  shows, in the form of a flowchart, an example of a processing procedure in the first image restoring step S 20  of a sixth invention according to the present invention. In the flowchart shown in  FIG. 7 , rectangles containing step numbers on white backgrounds signify steps other than determining steps, diamonds containing step numbers on white backgrounds signify determining steps, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, circles having white backgrounds signify a joint, a start, and an end of processing, and black circles signify branches and joints of data. 
     The second image restoring step S 88  shown in  FIG. 7  is characterized by including (S 80 ) a PSF providing step of providing an n-th iteration S 81 - n  of a first single-iteration image restoring step with an n-th PSF luminance distribution  17  as a PSF luminance distribution  9  among the series of PSF luminance distributions  3 , where n_max signifies the maximum number of iterations 1 and n signifies a natural number less than n_max; and (S 81 ) the single-iteration image restoring step of executing a computation corresponding to one iteration in iterations based on a formula of Bayse probability theory from the PSF luminance distribution  9 , the estimated luminance distribution  6  of the restored-image initial values, and the luminance distribution  4  of the degraded image to obtain and output an estimated luminance distribution  10  of a restored image having a maximum likelihood for the luminance distribution  4  of the degraded image, the single-iteration image restoring step S 81  including (S 82 ) a second restored-image-initial-value correcting step, constituted of the same processing procedure as the first restored-image-initial-value correcting step, of correcting the estimated luminance distribution  6  of the restored-image initial values on the basis of the PSF size  7  to obtain an estimated luminance distribution  8  of corrected-restored-image initial values; (S 83 ) a step of convolving the PSF luminance distribution  9  with the estimated luminance distribution  8  of the corrected-restored-image initial values to obtain a seventh function; (S 84 ) a step of inverting the seventh function to obtain an eighth function; (S 85 ) a step of multiplying the eighth function by the luminance distribution  4  of the degraded image to obtain a ninth function; (S 86 ) a step of multiplying the estimated luminance distribution  6  of the restored-image initial values by the ninth function to obtain an estimated luminance distribution  10  of a restored image; and (S 87 ) a step of outputting the estimated luminance distribution  10  of the restored image, and is characterized by being (S 88 ) a second image restoring step constituted of a series connection of n_max iterations configured by connecting the output of step (S 87 ) of the n-th iteration S 81 - n  of the first single-iteration image restoring step to step (S 82 ) of the (n+1)-th iteration S 81 -( n+ 1) of the first single-iteration image restoring step, and in the second image restoring step S 88 , n_max iterations, corresponding to the number of iterations of the first single-iteration image restoring step S 81  connected in series, are executed, and the estimated luminance distribution  10  of the restored image output from the n_max-th iteration S 81 - n _max of the first single-iteration image restoring step is output as a luminance distribution  11  of a maximum-likelihood restored image. 
     The second image restoring step S 88  shown in  FIG. 7  is formed of a series connection of the first iteration S 81 - 1  of the first single-iteration image restoring step configured the same as the first single-iteration image restoring step S 81 , the second iteration S 81 - 2  of the first single-iteration image restoring step configured the same as the first single-iteration image restoring step S 81 , the n-th iteration S 81 - n  of the first single-iteration image restoring step configured the same as the first single-iteration image restoring step S 81 , and the n_max-th iteration S 81 - n _max of the first single-iteration image restoring step configured the same as the first single-iteration image restoring step S 81 . The third iteration S 70 - 3  of the second single-iteration image restoring step to the iteration S 81 -( n _max−1) immediately before the final iteration of the single-iteration image restoring step are omitted since these iterations are connected in the same manner as the second iteration. 
     In the second image restoring step S 88 , in the steps equivalent to step S 83  in the first iteration S 81 - 1  of the first single-iteration image restoring step to the n_max-th iteration S 88 - n _max of the n_max-th single-iteration image restoring step, PSF luminance distributions matching the number of iterations provided in the PSF providing step S 80  are read. For example, the first PSF luminance distribution  14  is read in the first iteration S 81 - 1  of the single-iteration image restoring step, the second PSF luminance distribution  24  is read in the second iteration S 81 - 2  of the single-iteration image restoring step, the n-th PSF luminance distribution  17  is read in the n-th iteration S 81 - n  of the first single-iteration image restoring step, and the n_max-th PSF luminance distribution  25  is read in the n_max-th iteration S 81 - n _max of the first single-iteration image restoring step. 
     In the second image restoring step S 88 , in the steps equivalent to step S 85  in the first iteration S 81 - 1  of the first single-iteration image restoring step to the n_max-th iteration S 88 - n _max of the n_max-th single-iteration image restoring step, the luminance distribution  4  of the degraded image is read from the degraded-image preparing step S 4  of the preparing step S 19 . Furthermore, in the step equivalent to step S 82  in the first iteration S 81 - 1  of the first single-iteration image restoring step, the estimated luminance distribution  6  of the restored-image initial values is read from the restored-image-initial-value preparing step S 5 . In the step equivalent to step S 82  in the n-th iteration S 81 - n  (2≦n≦) of the first single-iteration image restoring step, the estimated luminance distribution  10  of the restored image, output from the step equivalent to step S 87  in the preceding (n−1)-th iteration S 81 -( n− 1) (2≦n≦) of the first single-iteration image restoring step, is read. Furthermore, in the step equivalent to step S 87  in the n_max-th iteration S 88 - n _max of the n_max-th single-iteration image restoring step, the estimated luminance distribution  10  of the restored image is output as the luminance distribution  11  of the maximum-likelihood restored image. Furthermore, with the second image restoring step S 88  shown in  FIG. 7 , if the same number of iterations of the second single-iteration image restoring step S 81  as the maximum number of iterations 1 are connected in series, a restoration ability comparable to that of the first image restoring step S 20  shown in  FIG. 2  is provided. 
       FIG. 8  shows, in the form of a flowchart, an example of a processing procedure in third image restoring step S 107  of a seventh invention according to the present invention. In the flowchart shown in  FIG. 8 , rectangles containing step numbers on white backgrounds signify steps other than determining steps, diamonds containing step numbers on white backgrounds signify determining steps, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, circles having white backgrounds signify a joint, a start, and an end of processing, and black circles signify branches and joints of data. 
     The third image restoring step S 107  shown in  FIG. 8  is characterized by including (S 90 ) a step of assigning 0 to and thereby resetting the counter; (S 91 ) a step of assigning 1 to and thereby resetting the second counter; (S 92 ) a step of testing a hypothesis that the value of the counter is not 0, proceeding to step (S 93 ) if the test result is false, and jumping to step (S 96 ) if the test result is true; (S 93 ) a step of transferring the luminance distribution  4  of the degraded image to a buffer  26  for saving the degraded image and to a buffer  27  for the restored-image initial values; (S 94 ) a step of jumping to step (S 96 ); (S 95 ) a step of transferring an estimated luminance distribution  10  of a restored image in step (S 102 ) to the buffer  27  for the restored-image initial values; (S 96 ) a step of setting an m-th PSF luminance distribution in the series of PSFs  3  as a PSF luminance distribution  9 , where m signifies the value of the second counter; (S 97 ) a step of reading the estimated luminance distribution  6  of the restored-image initial values from the buffer  27  for the restored-image initial values; (S 98 ) a third restored-image-initial-value correcting step, constituted of the same processing procedure as the first restored-image-initial-value correcting step, of correcting the estimated luminance distribution  6  of the restored-image initial values on the basis of the PSF size  7  and setting the result as an estimated luminance distribution  8  of corrected-restored-image initial values; (S 99 ) a step of convolving the PSF luminance distribution  9  with the estimated luminance distribution  8  of the corrected-restored-image initial values to obtain a tenth function; (S 100 ) a step of inverting the tenth function to obtain an eleventh function; (S 101 ) a step of reading the luminance distribution  4  of the degraded image from the buffer  26  for saving the degraded image and multiplying the eleventh function by the luminance distribution to obtain a twelfth function; (S 102 ) a step of multiplying the estimated luminance distribution  6  of the restored-image initial values by the twelfth function to obtain an estimated luminance distribution  10  of a restored image; (S 103 ) a step of incrementing the counter by 1; (S 104 ) a step of incrementing the second counter by 1; (S 105 ) a step of testing a hypothesis that the value of the counter has exceeded the maximum number of iterations 1, jumping to step (S 95 ) if the test result is false, and proceeding to step (S 106 ) if the test result is true; and (S 106 ) a step of outputting the estimated luminance distribution  10  of the restored image as a luminance distribution  11  of a maximum-likelihood restored image, and is characterized by being (S 107 ) a third image restoring step of completing the maximum number of iterations by executing iterations in ascending order of the index on S in the individual steps and outputting the maximum-likelihood restored image having a maximum likelihood. 
       FIG. 9  shows, in the form of a flowchart, an example of a processing procedure in the degraded-image preparing step S 4  of an eighth invention according to the present invention. In the flowchart shown in  FIG. 9 , rectangles containing step numbers on white backgrounds signify steps other than determining steps, diamonds containing step numbers on white backgrounds signify determining steps, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, circles having white backgrounds signify a joint, a start, and an end of processing, and black circles signify branches and joints of data. 
     The degraded-image preparing step S 4  shown in  FIG. 9  is characterized by including (S 110 ) an RGB-signal extracting step of extracting RGB signals  28  constituting a frame from TV video signals  15  for the frame; (S 111 ) a delaying step of outputting, with a delay corresponding to one frame, the TV video signals  29  remaining after extracting the RGB signals  28  from the single-frame TV video signals  15 ; (S 112 ) a YUV conversion step of subjecting the RGB signals  28  to YUV conversion to obtain YUV signals  30 ; (S 113 ) a Y-degraded-image extracting step of extracting a luminance distribution  4  of a degraded image constituted of only Y signals representing luminance components among the YUV signals  30  to obtain a luminance distribution  31  of a Y degraded image and keeping a distribution  32  of a U degraded image constituted of only the remaining U signals and a distribution  33  of a V degraded image constituted of only the remaining V signals; and (S 114 ) a degamma processing step of executing degamma processing of the luminance distribution  31  of the Y degraded image to obtain and output a luminance distribution  4  of a degraded image constituted of a single-frame luminance distribution. 
       FIG. 10  shows, in the form of a flowchart, an example of a processing procedure in the TV-video rendering step S 22  of a ninth invention according to the present invention. In the flowchart shown in  FIG. 10 , rectangles containing step numbers on white backgrounds signify steps other than determining steps, diamonds containing step numbers on white backgrounds signify determining steps, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, circles having white backgrounds signify a joint, a start, and an end of processing, and black circles signify branches and joints of data. 
     The TV-video rendering step S 22  shown in  FIG. 10  is characterized by including (S 120 ) a gamma processing step of executing gamma processing of the luminance distribution  11  of the maximum-likelihood restored image; (S 121 ) a restored-image combining step of combining the distribution  32  of the U degraded image and the distribution  33  of the V degraded image kept in the Y-degraded-image extracting step S 113  with the luminance distribution  11  of the maximum-likelihood restored image after the gamma processing constituted of Y components to obtain a distribution  34  of a single YUV restored image; (S 122 ) an RGB conversion step of executing RGB conversion of the distribution  34  of the YUV restored image to obtain a distribution  35  of an RGB restored image; (S 123 ) an RGB-signal conversion step of reading the distribution  35  of the RGB restored image and outputting RGB signals  36 ; and (S 124 ) a TV-video-signal combining step of combining the RGB signals  36  with the remaining TV video signals  29  output in the delaying step S 111  to obtain and output super-resolution TV video signals  12  constituted of single-frame TV video signals. 
       FIG. 11  shows an example of a PSF luminance distribution  9  of a tenth invention according to the present invention. The PSF luminance distribution  9  shown in  FIG. 11  is characterized by being constituted of frameless square pixels of the same size, constituting a two-dimensional normal distribution in which the center is brightest, and having a size of 5×5 pixels. Since the PSF luminance distribution  9  is a two-dimensional normal distribution, the PSF luminance distribution  9  is point symmetric and shift invariant. 
     A first accelerated super-resolution processing program  37  of an eleventh invention according to the present invention is a program in which all the steps in the preparing step S 19  and the first image restoring step S 20  are created virtually and in which a processing procedure of these steps is described. 
     A second accelerated super-resolution processing program  38  of a twelfth invention according to the present invention is a program in which all the steps in the preparing step S 19  and the second image restoring step S 88  are created virtually and in which a processing procedure of these steps is described. 
     A third accelerated super-resolution processing program  39  of a thirteenth invention according to the present invention is a program in which all the steps in the preparing step S 19  and the third image restoring step S 107  are created virtually and in which a processing procedure of these steps is described. 
     A fourteenth invention according to the present invention is a first storage medium  46  characterized in that the first accelerated super-resolution processing program  37 , the second accelerated super-resolution processing program  38 , and the third accelerated super-resolution processing program  39  are all encrypted, in that these encrypted first accelerated super-resolution processing program  37 , second accelerated super-resolution processing program  38 , and third accelerated super-resolution processing program  39  are stored, and in that the first storage medium  46  can be connected to a computer and can be read by the computer. 
       FIG. 12  shows an example relating to the configuration of a TV-video accelerated super-resolution processing device  40  of a fifteenth invention according to the present invention. In  FIG. 12 , rectangles containing numbers that indicate means on white backgrounds signify means other than means relating to determination and conditional branches, diamonds containing numbers that indicate means on white backgrounds signify means for determination and conditional branches, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, a circle having a white background signifies a joint of processing, and black circles signify branches and joints of data. 
     The TV-video accelerated super-resolution processing device  40  shown in  FIG. 12  is characterized by including (W 1 ) a means for setting a maximum number of iterations 1; (W 2 ) a degradation-index designating means for designating a degradation index  2  suitable for a degradation state of the TV video while the TV video is being viewed; (W 3 ) a PSF preparing means for preparing a first PSF luminance distribution  14  associated with the degradation index  2  and a series of PSF luminance distributions  3  derived from the first PSF luminance distribution and organized in association with numbers of iterations; (W 4 ) a degraded-image preparing means for preparing, from single-frame TV video signals  5 , a luminance distribution  4  of a degraded image constituted of a single-frame luminance distribution; (W 5 ) a restored-image-initial-value preparing means for setting the luminance distribution  4  of the degraded image as an estimated luminance distribution  6  of restored-image initial values; (W 6 ) a PSF-size obtaining means for obtaining a PSF size  7 , the PSF size referring to an image size that is the same among the series of PSF luminance distributions  3 ; (W 7 ) a first resetting means for setting a counter that counts the number of iterations to 1; (W 8 ) a first restored-image-initial-value correcting means for copying the estimated luminance distribution  6  of the restored-image initial values, setting the estimated luminance distribution  6  as an estimated luminance distribution  8  of corrected-restored-image initial values, and correcting the estimated luminance distribution  8  of the corrected-restored-image initial values on the basis of the PSF size  7 ; (W 9 ) a PSF selecting means for selecting one PSF luminance distribution associated with the value of the counter from the series of PSF luminance distributions  3  and setting the selected one as a PSF luminance distribution  9 ; (W 10 ) a means for convolving the estimated luminance distribution  8  of the corrected-restored-image initial values with the PSF luminance distribution  9  to obtain a thirteenth function; (W 11 ) a means for inverting the thirteenth function to obtain a fourteenth function; (W 12 ) a means for multiplying the fourteenth function by the luminance distribution  4  of the degraded image to obtain a fifteenth function; (W 13 ) a means for multiplying the estimated luminance distribution  6  of the restored-image initial values by the fifteenth function to obtain an estimated luminance distribution  10  of a restored image; (W 14 ) a means for incrementing the counter by 1; (W 15 ) a means for testing a hypothesis that the value of the counter is greater than or equal to the maximum number of iterations 1, proceeding to means (W 16 ) if the test result is false, and proceeding to means (W 18 ) if the test result is true; (W 16 ) a means for substituting the estimated luminance distribution  10  of the restored image for the estimated luminance distribution  6  of the restored-image initial values; (W 17 ) a means for returning to means (W 8 ); (W 18 ) a means for outputting the estimated luminance distribution  10  of the restored image as a luminance distribution  11  of a maximum-likelihood restored image; (W 19 ) a preparing means constituted of means (W 1 ) to (W 7 ); (W 20 ) a first image restoring means constituted of means (W 8 ) to (W 18 ), and is characterized by including (W 21 ) a first accelerated super-resolution processing means for completing the maximum number of iterations 1 by executing iterations in ascending order of the index on W of means in the preparing means W 19  and the first image restoring means W 20  and outputting the luminance distribution  11  of the maximum-likelihood restored image; and (W 22 ) a TV-video rendering means for rendering the luminance distribution  11  of the maximum-likelihood restored image into single-frame TV video signals  41  and outputting the TV video signals  41  as super-resolution TV video signals  12 . 
       FIG. 13  shows an example relating to the configuration of a second aspect W 3 - 2  of the PSF preparing means W 3  of a sixteenth invention according to the present invention. In  FIG. 13 , rectangles containing numbers that indicate means on white backgrounds signify means other than means relating to determination and conditional branches, diamonds containing numbers that indicate means on white backgrounds signify means for determination and conditional branches, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, a circle having a white background signifies a joint of processing, and black circles signify branches and joints of data. 
     The second aspect W 3 - 2  of the PSF preparing means W 3  shown in  FIG. 13  is characterized by including (W 30 ) a means for searching, by using the degradation index  2 , a PSF database  13  created by organizing PSF luminance distributions in one-to-one association with degradation indices and setting a hit PSF luminance distribution  9  as a first PSF luminance distribution  14 ; (W 31 ) a means for inputting 1 to and thereby resetting a second counter that counts numbers; (W 32 ) a means for setting the first PSF luminance distribution  14  as a luminance distribution  15  of PSF initial values; (W 33 ) a means for incrementing the second counter by 1; (W 34 ) a means for testing a hypothesis that the value of the second counter has exceeded the maximum number of iterations 1, proceeding to means (W 35 ) if the test result is false, and jumping to means (W 38 ) if the test result is true; (W 35 ) a means for restoring a luminance distribution  15  of PSF initial values with a PSF restoring means W 63  to obtain a luminance distribution  16  of a maximum-likelihood restored PSF; (W 36 ) a means for setting the luminance distribution  16  of the maximum-likelihood restored PSF as an n-th PSF luminance distribution  17 , where n signifies the value of the second counter; (W 37 ) a means for returning to means (W 33 ); and (W 38 ) a series-of-luminance-distributions creating step of connecting the first PSF luminance distribution  14  to n_max-th PSF luminance distribution  25  in that order to form a series of PSF luminance distributions, where n_max signifies the maximum number of iterations and n signifies a natural number less than n_max, and labeling the series of PSF luminance distributions with the degradation indices  2  to create the series of PSF luminance distributions  3  associated with the degradation indices. 
     In the step W 38  of creating a series of PSF luminance distributions, shown in  FIG. 13 , for example, assuming that the degradation index  2  is represented by using an integer variable BF, the image filename of the n-th luminance distribution  17  (1≦n≦n_max) is represented as PSF_BF_n.bmp, and the name of a two-dimensional character array is SPSF, the n-th luminance distribution  17  is received from the means W 36 , a filename PSF_BF_n.bmp is created from BF and n, the n-th luminance distribution  17  is stored in a large-capacity storage means of a computer, for example, an HDD (Hard Disk Drive), with this filename attached, and the filename is stored in an array SPSF(BF, n), whereby a series of PSF luminance distributions  3  is created. 
       FIG. 14  shows an example relating to the configuration of a third aspect W 3 - 3  of the PSF preparing means of a seventeenth invention according to the present invention. In  FIG. 14 , rectangles containing numbers that indicate means on white backgrounds signify means other than means relating to determination and conditional branches, diamonds containing numbers that indicate means on white backgrounds signify means for determination and conditional branches, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, a circle having a white background signifies a joint of processing, and black circles signify branches and joints of data. 
     The third aspect W 3 - 3  of the PSF preparing means W 3  shown in  FIG. 14  is characterized by including (W 40 ) a means for setting the maximum number of iterations 1 to 5; (W 41 ) a means for executing the PSF preparing means W 3  in advance for all the pairs of degradation indices and PSF luminance distributions associated therewith in the PSF database  13  to obtain a series of PSF luminance distributions for each of the degradation indices and editing the series of PSF luminance distributions for each of the degradation indices to prepare an extended PSF database  18  in which the series of PSF luminance distributions is organized in association with the degradation indices; and (W 42 ) a means for searching the extended PSF database  18  by using the degradation index  2  and retrieving and outputting a hit series of PSF luminance distributions  3 . 
       FIG. 15  shows an example of data in the PSF database  13  according to the present invention. The PSF database  13  shown in  FIG. 15  is a table in CSV format and is stored in an HDD. In the PSF database  13 , degradation indices  2  at 256 levels are described in the first column from the left, and the image filenames  23  of PSF luminance distributions  9  associated with the individual degradation indices  2  are described as paths in the second column from the left. The image files of the PSF luminance distributions  9  exist under a directory “PSF” in the C drive in the HDD, and the image filenames of the PSF luminance distributions  9  are associated with the degradation indices  2 . For example, in the case where the degradation index is 1, the image filename C:¥PSF¥PSF_1.bmo of the PSF luminance distribution  9  on the first row from the top of the PSF database  13  indicates the storage location of the image file of the PSF luminance distribution  9  associated with the degradation index  2 . For example, the means W 30  searches the PSF database  13  by using the degradation index  2  to obtain the image filename of the PSF luminance distribution  9  associated with the degradation index  2  and obtains the PSF luminance distribution  9  associated with the image filename of the PSF luminance distribution  9  by reading it from the HDD. The PSF database  13  can also be defined in the form of a two-dimensional array instead of CSV format. 
       FIG. 16  shows an example of data in the extended PSF database  18  according to the present invention. The extended PSF database  18  shown in  FIG. 16  is a table in CSV format and is stored in an HDD. In the extended PSF database  18 , degradation indices  2  at 256 levels are described in the first column from the left, and the image filenames  23  of PSF luminance distributions  9  associated with the individual degradation indices  2  are described as paths in the second and subsequent columns from the left. The second and subsequent columns are associated with the numbers of iterations. In the second column from the left, information for the case where the number of iterations 1 is 1 is described. In the third column from the left, information for the case where the number of iterations 1 is 2 is described. In the last column, information for the case where the number of iterations is n_max is described. The image files of PSF luminance distributions  9  exist under a directory “SPSF in the C drive in the HDD, and the image filenames of the PSF luminance distributions  9  are associated with the degradation indices  2  and the numbers of iterations 1. For example, in the case where the degradation index  2  is 1 and the number of iterations is 1, C:¥SPSF¥SPSF_1_1.bmp, which is the image filename  23  of the PSF luminance distribution  9  in the second column from the left on the first row from the top of the extended PSF database  18 , indicates the storage location of the image file of the PSF luminance distribution associated with the degradation index  2  and the number of iterations 1. For example, the means W 42  searches the extended PSF database  18  by using the degradation index  2  to identify the row associated with the degradation index  2  in the extended PSF database  18 , obtains the image filenames of the PSF luminance distributions  9  in that row sequentially from the column associated with a number of iterations of 1 to the column associated with a number of iterations of n_max, and stores the image filenames in the two-dimensional array SPSF(BF, n), thereby obtaining a series of PSF luminance distributions  3 . SPSF(BF, n) is a two-dimensional character array, in which BF is a variable representing the degradation index  2  and n is a variable representing the number of iterations. Then, using the degradation index  2  as BF and the number of iterations as n, the means W 9  obtains the image filename  23  of the PSF luminance distribution  9  from SPSF(BF, n) and obtains the PSF luminance distribution  9  corresponding to the image filename  23  of the PSF luminance distribution  9  by reading it from the HDD. The extended PSF database  18  can also be defined in the form of a two-dimensional array instead of CSV format. 
       FIG. 17  shows an example relating to the configuration of the PSF restoring means of an eighteenth invention according to the present invention. In  FIG. 17 , rectangles containing numbers that indicate means on white backgrounds signify means other than means relating to determination and conditional branches, diamonds containing numbers that indicate means on white backgrounds signify means for determination and conditional branches, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, a circle having a white background signifies a joint of processing, and black circles signify branches and joints of data. 
     The PSF restoring means shown in  FIG. 17  is characterized by including (W 50 ) a means for assigning 6 to the maximum number of iterations 1; (W 51 ) a means for considering the luminance distribution  15  of the PSF initial values as a luminance distribution of a degraded image and setting the luminance distribution as a degraded PSF luminance distribution  19 ; (W 52 ) a means for setting the luminance distribution  15  of the PSF initial values as an estimated luminance distribution  20  of restored PSF initial values; (W 53 ) a means for assigning 1 to and thereby resetting the counter; (W 54 ) a restored-PSF-initial-value correcting means for setting the estimated luminance distribution  20  of the restored-PSF initial values as an estimated luminance distribution  21  of corrected-restored-PSF initial values and, when convolving the luminance distribution  15  of the PSF initial values with the estimated luminance distribution  21  of the corrected-restored-PSF initial values, calculating a region where computation is difficult, the region occurring in a peripheral region in the estimated luminance distribution  21  of the corrected-restored-PSF initial values, on the basis of the image size of the luminance distribution  15  of the PSF initial values, copying the pixels associated with a top-edge boundary in the region where computation is difficult, pasting the copied pixels to the outside of the top-edge boundary of the estimated luminance distribution  21  of the corrected-restored-PSF initial values in mirror symmetry with respect to the top-edge boundary, and executing similar computations clockwise for a right edge, a bottom edge, and finally a left edge, thereby correcting the estimated luminance distribution  21  of the corrected-restored-PSF initial values; (W 55 ) a means for convolving the luminance distribution  15  of the PSF initial values with the estimated luminance distribution  21  of the corrected-restored-PSF initial values to obtain a sixteenth function; (W 56 ) a means for inverting the sixteenth function to obtain a seventeenth function; (W 57 ) a means for multiplying the seventeenth function by the degraded PSF luminance distribution  19  to obtain an eighteenth function; (W 58 ) a means for multiplying the estimated luminance distribution  20  of the restored-PSF initial values by the eighteenth function to obtain an estimated luminance distribution  22  of a restored PSF; (W 59 ) a means for incrementing the counter by 1; (W 60 ) a means for testing a hypothesis that the value of the counter has exceeded the maximum number of iterations 1, jumping to means (W 61 ) if the test result is false, and jumping to means (W 63 ) if the test result is true; (W 61 ) a means for substituting the estimated luminance distribution  22  of the restored PSF for the estimated luminance distribution  20  of the restored-PSF initial values; (W 62 ) a means for jumping to means (W 54 ); and (W 63 ) a means for outputting the estimated luminance distribution  22  of the restored PSF as a luminance distribution  16  of a maximum-likelihood restored PSF. 
       FIG. 18  shows an example relating to the configuration of the first restored-image-initial-value correcting means of a nineteenth invention according to the present invention. In  FIG. 18 , rectangles containing numbers that indicate means on white backgrounds signify means other than means relating to determination and conditional branches, diamonds containing numbers that indicate means on white backgrounds signify means for determination and conditional branches, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, a circle having a white background signifies a joint of processing, and black circles signify branches and joints of data. 
     The first restored-image-initial-value correcting means W 8  shown in  FIG. 18  is characterized by including (W 70 ) a means for setting the estimated luminance distribution  6  of the restored-image initial values as an estimated luminance distribution  8  of corrected-restored-image initial values; (W 71 ) a means for calculating, on the basis of the PSF size  7 , a region  42  where computation is difficult, the region  42  occurring in a peripheral region in the estimated luminance distribution  8  of the corrected-restored-image initial values when convolving one of the series of PSF luminance distributions  3  with the estimated luminance distribution  8  of the corrected-restored-image initial values; (W 72 ) a means for copying the pixels in the region  42  where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, individually inverting the copied pixels in mirror symmetry with respect to the four edges of the estimated luminance distribution  8  of the corrected-restored-image initial values, and pasting the pixels to the outside of the boundaries at the four edges of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 ; (W 73 ) a means for copying the pixels in a top-left corner region in the region  42  where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, rotating the copied pixels in the top-left corner region by 180 degrees about the vertex at the top-left corner, and pasting the pixels to a blank region generated in the top-left corner region of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 ; (W 74 ) a means for copying the pixels in a top-right corner region in the region  42  where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, rotating the copied pixels in the top-right corner region by 180 degrees about the vertex at the top-right corner, and pasting the pixels to a blank region generated in the top-right corner region of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 ; (W 75 ) a means for copying the pixels in a bottom-left corner region in the region  42  where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, rotating the copied pixels in the bottom-left corner region by 180 degrees about the vertex at the top-left corner, and pasting the pixels to a blank region generated in the bottom-left corner region of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 ; and (W 76 ) a means for copying the pixels in a bottom-right corner region in the region  42  where computation is difficult in the estimated luminance distribution  8  of the corrected-restored-image initial values, rotating the copied pixels in the bottom-right corner region by 180 degrees about the vertex at the top-right corner, and pasting the pixels to a blank region generated in the bottom-right corner region of the estimated luminance distribution  8  of the corrected-restored-image initial values to correct the estimated luminance distribution  8 . 
       FIG. 19  shows an example of correction of the region  42  where computation is difficult, which occurs in a peripheral region in the estimated luminance distribution  6  of the restored-image initial values obtained by the first restored-image-initial-value correcting means W 8 .  FIG. 19  shows the state where the estimated luminance distribution  8  of the corrected-restored-image initial values has been generated from the estimated luminance distribution  6  of the restored-image initial values by the means W 70  to W 72 . In this state, blank regions exist at the four corners of the estimated luminance distribution  8  of the corrected-restored-image initial values. W 73  compensates for and corrects the blank region at the top left corner of the estimated luminance distribution of the corrected-restored-image initial values by copying the pixels in the top-left corner region of the region  42  where computation is difficult in the estimated luminance distribution  6  of the restored-image initial values, rotating the copied region by 180 degrees about the top left vertex, and pasting the pixels. 
       FIGS. 20A and 20B  are diagrams showing an example relating to the configuration of a second image restoring means W 88 , as a second aspect of the first image restoring means W 20 , of a twentieth invention according to the present invention. In  FIGS. 20A and 20B , rectangles containing numbers that indicate means on white backgrounds signify means other than means relating to determination and conditional branches, diamonds containing numbers that indicate means on white backgrounds signify means for determination and conditional branches, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, a circle having a white background signifies a joint of processing, and black circles signify branches and joints of data. 
     The second image restoring means W 88  shown in  FIGS. 20A and 20B  is characterized by including (W 80 ) a PSF providing means for providing an n-th stage W 81 - n  of a first single-iteration image restoring means with an n-th PSF luminance distribution  17  as a PSF luminance distribution  9  among the series of PSF luminance distributions  3 , where n_max signifies the maximum number of iterations 1 and n signifies a natural number less than n_max; and (W 81 ) the single-iteration image restoring means for executing a computation corresponding to one iteration in iterations based on a formula of Bayse probability theory from the PSF luminance distribution  9 , the estimated luminance distribution  6  of the restored-image initial values, and the luminance distribution  4  of the degraded image to obtain and output an estimated luminance distribution  10  of a restored image having a maximum likelihood for the luminance distribution  4  of the degraded image, the single-iteration image restoring means W 81  including (W 82 ) obtaining an estimated luminance distribution  8  of corrected-restored-image initial values by a second restored-image-initial-value correcting means constituted of the same configuration as the first restored-image-initial value correcting means W 8 ; (W 83 ) a means for convolving the PSF luminance distribution  9  with the estimated luminance distribution  8  of the corrected-restored-image initial values to obtain a nineteenth function; (W 8   4 ) a means for inverting the nineteenth function to obtain a twentieth function; (W 85 ) a means for multiplying the twentieth function by the luminance distribution of the degraded image to obtain a twenty-first function; (W 86 ) a means for multiplying the estimated luminance distribution of the restored-image initial values by the twenty-first function to obtain an estimated luminance distribution  10  of a restored image; and (W 8   7 ) a means for outputting the estimated luminance distribution  10  of the restored image, and is characterized by being (W 88 ) a second image restoring means constituted of a series connection of n_max stages configured by connecting the output of means (W 87 ) of the n-th stage W 81 - n  of the first single iteration image restoring means to means (W 82 ) of the (n+1)-th stage W 81 -( n +1) of the first single-iteration image restoring means, and in the second image restoring means W 88 , n_max iterations, corresponding to the number of stages of the first single-iteration image restoring means W 81  connected in series, are executed, and the estimated luminance distribution  10  of the restored image output from the n_max-th stage W 81 - n _max of the first single-iteration image restoring means is output as a luminance distribution  11  of a maximum-likelihood restored image. 
       FIGS. 21A and 21B  are diagrams showing an example relating to the configuration of a third image restoring means W 107 , as a third aspect of the first image restoring means W 20 , of a twenty-first invention according to the present invention. In  FIGS. 21A and 21B , rectangles containing numbers that indicate means on white backgrounds signify means other than means relating to determination and conditional branches, diamonds containing numbers that indicate means on white backgrounds signify means for determination and conditional branches, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, a circle having a white background signifies a joint of processing, and black circles signify branches and joints of data. 
     The third image restoring means W 107  shown in  FIGS. 21A and 21B  is characterized by including (W 90 ) a means for assigning 0 to and thereby resetting the counter; (W 91 ) a means for assigning 1 to and thereby resetting the second counter; (W 92 ) a means for testing a hypothesis that the value of the counter is not 0, proceeding to means (W 93 ) if the test result is false, and jumping to means (W 96 ) if the test result is true; (W 93 ) a means for transferring the luminance distribution  4  of the degraded image to a buffer  26  for saving the degraded image and to a buffer  2   7  for the restored-image initial values; (W 94 ) a means for jumping to means (W 96 ); (W 95 ) a means for transferring an estimated luminance distribution  10  of a restored image of means (W 102 ) to the buffer  27  for the restored-image initial values; (W 96 ) a means for setting an mth PSF luminance distribution in the series of PSF luminance distributions  3  as a PSF luminance distribution  9 , where m signifies the value of the second counter; (W 97 ) a means for reading the estimated luminance distribution  6  of the restored-image initial values from the buffer  27  for the restored-image initial values; (W 98 ) a third restored-image-initial-value correcting means, constituted of the same configuration as the first restored-image-initial-value correcting means, for correcting the estimated luminance distribution  6  of the restored-image initial values and setting the estimated luminance distribution as an estimated luminance distribution  8  of corrected-restored-image initial values; (W 99 ) a means for convolving the PSF luminance distribution  9  with the estimated luminance distribution  8  of the corrected-restored-image initial values to obtain a twenty-second function; (W 100 ) a means for inverting the twenty-second function to obtain a twenty-third function; (W 101 ) a means for multiplying the twenty-third function by the luminance distribution  4  of the degraded image to obtain a twenty-fourth function; (W 102 ) a means for multiplying the estimated luminance distribution  6  of the restored-image initial values by the twenty-fourth function to obtain an estimated luminance distribution  10  of a restored image; (W 103 ) a means for incrementing the counter by 1; (W 104 ) a means for incrementing the second counter by 1; (W 105 ) a means for testing a hypothesis that the value of the counter has exceeded the maximum number of iterations 1, jumping to means (W 95 ) if the test result is false, and proceeding to means (W 106 ) if the test result is true; and (W 106 ) a means for outputting the estimated luminance distribution  10  of the restored image as a luminance distribution  11  of a maximum likelihood restored image, and is characterized by being (W 107 ) a third image restoring means for completing the maximum number of iterations 1 by executing iterations in ascending order of the index on S of the individual means and outputting the maximum-likelihood restored image  11  having a maximum likelihood. 
       FIG. 22  shows an example relating to the configuration of the degraded-image preparing means W 4  of a twenty-second invention according to the present invention. In  FIG. 22 , rectangles containing numbers that indicate means on white backgrounds signify means other than means relating to determination and conditional branches, diamonds containing numbers that indicate means on white backgrounds signify means for determination and conditional branches, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, a circle having a white background signifies a joint of processing, and black circles signify branches and joints of data. 
     The degraded-image preparing means W 4  shown in  FIG. 22  is characterized by including (W 110 ) an RGB-signal extracting means for extracting RGB signals  28  constituting a frame from TV video signals  5  for the frame; (W 111 ) a delaying means for outputting, with a delay corresponding to one frame, the TV video signals  29  remaining after extracting the RGB signals  28  from the single-frame TV video signals  5 ; (W 112 ) a YUV conversion means for subjecting the RGB signals  28  to YUV conversion to obtain YUV signals  30 ; (W 113 ) a Y-degraded-image extracting means for extracting a luminance distribution  4  of a degraded image constituted of only Y signals representing luminance components among the YUV signals  30  to obtain a luminance distribution  31  of a Y degraded image and keeping a distribution  32  of a U degraded image constituted of only the remaining U signals and a distribution  33  of a V degraded image constituted of only the remaining V signals; and (W 114 ) a degamma processing means for executing degamma processing of the luminance distribution  31  of the Y degraded image to obtain and output a luminance distribution  4  of a degraded image constituted of a single-frame luminance distribution. 
       FIG. 23  shows an example relating to the configuration of the TV-video rendering means W 22  of a twenty-third invention according to the present invention. In  FIG. 23 , rectangles containing numbers that indicate means on white backgrounds signify means other than means relating to determination and conditional branches, diamonds containing numbers that indicate means on white backgrounds signify means for determination and conditional branches, arrows signify directions of data input/output, rectangles containing numbers on white backgrounds signify elements, for example, 1 signifies the maximum number of iterations 1, thick lines signify processing flows, a circle having a white background signifies a joint of processing, and black circles signify branches and joints of data. 
     The TV-video rendering means shown in  FIG. 23  is characterized by including (W 120 ) a gamma processing means for executing gamma processing of the luminance distribution  11  of the maximum-likelihood restored image; (W 121 ) a restored-image combining means for combining the distribution  32  of the U degraded image and the distribution  33  of the V degraded image kept by the Y-degraded-image extracting means W 113  with the luminance distribution  11  of the maximum-likelihood restored image after the gamma processing constituted of Y components to obtain a distribution  34  of a single YUV restored image; (W 122 ) an RGB conversion means for executing RGB conversion of the distribution  34  of the YUV restored image to obtain a distribution  35  of an RGB restored image; (W 123 ) an RGB-signal conversion means for reading the distribution  35  of the RGB restored image and outputting RGB signals  36 ; and (W 124 ) a TV-video-signal combining means for combining the RGB signals  36  with the remaining TV video signals  29  output by the delaying means W 111  to obtain and output super-resolution TV video signals  12  constituted of single-frame TV video signals. 
     A fourth accelerated super-resolution processing program  43  of a twenty-fourth invention according to the present invention is a program in which a processing procedure for implementing and executing all the means in the preparing means W 19  and the first image restoring means W 20  is described. 
     A fifth accelerated super-resolution processing program  44  of a twenty-fifth invention according to the present invention is a program in which a processing procedure for implementing and executing all the means in the preparing means W 19  and the second image restoring means W 88  is described. 
     A sixth accelerated super-resolution processing program of a twenty-sixth invention according to the present invention is a program in which a processing procedure for implementing and executing all the means in the preparing means W 19  and the third image restoring means W 107  is described. 
     A twenty-seventh invention according to the present invention is a second storage medium  47  wherein the fourth accelerated super-resolution processing program  43 , the fifth accelerated super-resolution processing program  44 , and the sixth accelerated super-resolution processing program  45  are all encrypted, these encrypted fourth accelerated super-resolution processing program  43 , fifth accelerated super-resolution processing program  44 , and sixth accelerated super-resolution processing program  45  are stored, and the second storage medium  47  can be connected to a computer and can be read by the computer. 
     Embodiments 
     A first embodiment is a TV-video accelerated super-resolution processing system  49  in which the TV-video accelerated super-resolution processing device  40  according to the present invention is implemented on a computer  48  by using a first accelerated super-resolution processing program  37 . 
       FIG. 24  shows an example relating to the configuration of the TV-video accelerated super-resolution processing system  49  of the first embodiment according to the present invention. The TV-video accelerated super-resolution processing system  49  shown in  FIG. 24  is constituted of: a digital-TV-video-signal input/output terminal  50  used for input/output of digital TV video signals; a computer  48  having the TV-video accelerated super-resolution processing device  40  installed thereon; a TV-video input board  51  on which the degraded-image preparing means W 4  for preparing a luminance distribution  4  of a degraded image from TV video  67  is implemented by using an FPGA; a super-resolution TV-video output board  52  on which the TV-video rendering means W 22  for rendering a luminance distribution  11  of a maximum-likelihood restored image into TV video and outputting single-frame super-resolution TV-video signals  12  is implemented by using an FPGA; a super-resolution-processing-mode switching control circuit board  53  that reflects, on the super-resolution TV video signals  12 , a video display mode designated by using a video-display-mode designating button  56  and whether to superimpose super-resolution processing conditions as designated by using a condition-display designating button  57 ; a digital TV-video cable  54 ; and a bus cable  55 . In  FIG. 24 , a power supply cable is omitted. 
     Since most of the degraded-image preparing means W 4  and the TV-video rendering means W 22  of the TV-video accelerated super-resolution processing device in the computer  48  constituting the TV-video accelerated super-resolution processing system shown in  FIG. 24  is implemented in hardware by using FPGAs, the degraded-image preparing means W 4  is configured as a means for obtaining the luminance distribution of the degraded image, output from the TV-video input board  51 , and the TV-video rendering means W 22  is configured as a means for transferring the luminance distribution  11  of the maximum-likelihood restored image to the super-resolution TV-video output board  52 . 
       FIG. 25  shows an example of the configuration of the first accelerated super-resolution processing program  37  and an example of the state of installation of the program in the computer  48 . Referring to  FIG. 25 , the first accelerated super-resolution processing program  37  is constituted of a TV-video accelerated super-resolution processing device program  61  for implementing all the means in the first accelerated super-resolution processing means W 21  in the TV-video accelerated super-resolution processing device  40  that executes processing according to the TV-video super-resolution processing method; a super-resolution-processing-window creating program  62  for creating a super-resolution processing window  64  used to perform operations relating to super-resolution processing in the TV-video accelerated super-resolution processing device  40  and for displaying the super-resolution processing window  64  on a monitor  59 ; and a super-resolution-processing-window monitoring and handling program for constantly monitoring all the buttons in the super-resolution processing window  64 , the buttons of a keyboard  65  of the computer  48 , and the position designated by using a mouse  66  of the computer  48  and right clicking and left clicking at the position, and executing suitable processing for actions involving monitored targets, such as left clicking, if any, until a close button  79  in the super-resolution processing window  64  is pressed. The TV-video accelerated super-resolution processing device program  61 , the super-resolution-processing-window creating program, and the super-resolution-processing-window monitoring and handling program  63  are executed in that order. 
     Referring to  FIG. 25 , in configuring the TV-video accelerated super-resolution processing device  40  on the computer  48 , first, the first accelerated super-resolution processing program  37  stored in the first storage medium  46  is installed on the computer  48 . Then, a TV-video accelerated super-resolution processing device icon  58  used to activate the TV-video accelerated super-resolution processing device  40  is displayed on a screen in the monitor  59  of the computer  48 . Then, a user  60  clicks on the TV-video accelerated super-resolution processing device icon  58  to activate the TV-video accelerated super-resolution processing device  40 . Then, the super-resolution processing window  64  is displayed on the monitor  59  to wait for an action by the user  60 . 
       FIG. 26  shows an example relating to the configuration of the super-resolution processing window  64 . The super-resolution processing window  64  shown in  FIG. 26  is constituted of: a video window  69  for displaying TV video  67 , super-resolution TV video  68 , etc.; an information window  70  for displaying the current date and time, super-resolution conditions, system messages, etc., provided with a vertical scroll bar at the right end thereof; a degradation-index setting button  71  for setting the degradation index  2  by designating a number from 0 to 255 representing 256 levels from a pull-down menu (a default value is indicated by a pale blue background in the pull-down menu in the present invention); a maximum-number-of-iterations setting button  72  used to select a value from a list in a combo box that opens when the button is clicked on or to directly enter and set a maximum number of iterations 1 over a default value displayed in a text box; a super-resolution-processing start button  73  that is clicked on to start super-resolution processing under the set conditions; a super-resolution-processing suspend button  74  that is clicked on to suspend super-resolution processing; a super-resolution-processing resume button  75  for resuming suspended super-resolution processing; a super-resolution-processing stop button  76  that is clicked on to stop super-resolution processing; a help button  77  for opening a help window and searching and displaying help content; a video enlarge/reduce button  78  that is used after video that is to be enlarged or reduced in the video window  69  is designated by clicking, the designated video being displayed in an enlarged form when “+” in this button is pressed, in an enlarged form when “−” is pressed, and at the original default magnification factor when “0” is pressed; a video-display-mode designating button  56  used for selecting, from a pull-down menu, a video display mode in the video window  69  from a half-division test mode, an input-video mode for displaying only TV video  67 , and a super-resolution TV-video mode for displaying only super-resolution TV video  68 ; a condition-display designating button  57  in the form of a toggle switch, used for displaying a maximum number of iterations 1 and a degradation index  2  as super-resolution processing conditions in such a manner as to be superimposed at the top right corner of the super-resolution TV video  68 ; and a close button  55  used to close the super-resolution processing window  64 .  FIG. 26  shows the state of video display in the test mode. 
     The computer  48  is constituted of a 64-bit instruction set, 32-bit, 6-core/chip CPU (Central Processing Unit), a GPU (Graphic Processing Unit), a memory not less than 32 GBytes, an HDD having a storage capacity not less than 1 TBytes, an SDD (Solidstate Disk Drive) having a storage capacity not less than 128 GBytes, at least three USB terminals, at least one LAN (Local Area Network) terminal, a wireless communication module such as a WiFi (Wireless Fidelity) or Bluetooth (registered trademark) module, a phone terminal, a keyboard  65 , a mouse  66 , an FHD (Full High Definition) display, Windows (registered trademark) 8 O/S (Operating System) from Microsoft, Visual Studio 2010™ (including Visual C++ 2010) from Microsoft, and Office 2013™ from Microsoft. The computer  48  can communicate with other computers by way of WiFi, Bluetooth (registered trademark), LAN, USB, and the Internet. As the computer  48 , a computer selected from a variety of desktop computers that are mass-produced and available on the market is used. Alternatively, however, a workstation having similar specifications may be used. Furthermore, although the type of O/S differs, a server may be used. 
       FIG. 27  shows, in the form of a transaction table, an example of a procedure for executing super-resolution processing in the TV-video accelerated super-resolution processing system  49 . The transaction table shown in  FIG. 27  is constituted of arrows having numbers attached thereto and representing operations input by the user  60 , dotted arrows having letters attached thereto and representing responses from the computer  48 , a start symbol, an end symbol, a thick solid arrow representing a time axis for the user  60 , and a thick dotted arrow representing a time axis for the computer  48 . 
     The procedure for executing super-resolution processing in the TV-video accelerated super-resolution processing system  49  according to the transaction table shown in  FIG. 27  is as follows. ( 1 ) In an “activation” step, the user  60  clicks on the TV-video accelerated super-resolution processing device icon  58 , and then the computer  48  (A) displays the super-resolution processing window  64  on the monitor  59 . ( 2 ) In a “super-resolution-processing-condition input- 1 ” step, the user  60  clicks on the degradation-index setting button  71 , and then the computer  48  (B) expands and displays a pull-down menu at the position of the degradation-index setting button  71 . ( 3 ) In a “super-resolution-processing-condition input- 2 ” step, the user  60  selects an appropriate value from the pull-down menu, and then the computer  48  (C) captures the degradation index  2  and closes the pull-down menu. ( 4 ) In a “super-resolution-processing-condition input- 3 ” step, the user  60  clicks on the maximum-number-of-iterations setting button  72 , and then the computer  48  (D) expands a combo box at the position of the maximum-number-of-iterations setting button  72 . ( 5 ) In a “super-resolution-processing-condition input- 4 ” step, the user  60  selects from the combo box or enters an appropriate value, and then the computer  48  (E) captures the maximum number of iterations 1 and closes the combo box. ( 6 ) In a “super-resolution-processing-condition input- 5 ” step, the user  60  clicks on the video-display-mode designating button  56 , and then the computer  48  (F) expands a pull-down menu at the position of the video-display-mode designating button  56 . ( 7 ) In a “super-resolution-processing-condition input- 6 ” step, the user  60  selects an appropriate mode from the pull-down menu, and then the computer  48  (G) captures the video-display-mode designating button  56  and closes the pull-down menu. ( 8 ) In a “super-resolution-processing-condition input- 7 ” step, the user  60  clicks on the condition-display designating button  57 , and then the computer  48  (H) inverts the color of the condition-display designating button  57  to indicate display setting. ( 9 ) In a “super-resolution-processing start” step, the user  60  clicks on the super-resolution-processing start button  73 , and then the computer  48  (I) executes super-resolution processing to display super-resolution TV video  68  and TV video  67  in the video window  69  according to the video-display-mode designating button  56  and the condition-display designating button  57 . 
     Since accesses to the buttons in the super-resolution processing window  64  are constantly being monitored even during super-resolution processing, if the super-resolution-processing conditions are to be changed, when the user  60  clicks on the degradation-index setting button  71 , the maximum-number-of-iterations setting button  72 , the video-display-mode designating button  56 , or the condition-display designating button  57  to set the conditions again, the changes in the super-resolution processing conditions are reflected while the video is continuously displayed. When the user  60  wants to quit super-resolution processing, the user  60  clicks on the close button  79 . Then, the computer  48  closes the super-resolution processing window  64  in response to this clicking and also deactivates the TV-video accelerated super-resolution processing device  40 . 
     According to the super-resolution processing procedure shown in  FIG. 27 , the user  60  first executed step ( 1 ) to display the super-resolution processing window  64  on the monitor  59 . Then, the user  60  executed step ( 2 ) to expand and display a pull-down menu at the position of the degradation-index setting button  71 . Then, in step ( 3 ), perceiving that the degree of degradation of the TV video  67  was small while viewing terrestrial digital TV  80  in which the TV video  67  was being displayed, the user  60  selected 14 as the degradation index  2  (the default value was 60 among 256 levels). Then, the user  60  executed step ( 4 ) to expand a combo box at the position of the maximum-number-of-iterations setting button  72 . Then, in step ( 5 ), perceiving that the degree of degradation of the TV video  67  was small while viewing terrestrial digital TV  80  in which the TV video  67  was being displayed, the user  60  selected 4 as the maximum number of iterations 1 (the default value was 3). Then, the user  60  executed step ( 6 ) to expand a pull-down menu at the position of the video-display-mode designating button  56 . Then, in step ( 7 ), since the super-resolution processing conditions were not fixed yet, the user  60  selected the test mode. Then, the user  60  executed step ( 8 ) to select display setting with the condition-display designating button  57 . Then, the user  60  executed step ( 9 ) to execute super-resolution processing. Then, the TV video  67  and the super-resolution TV video  68  were displayed side by side in a half-division fashion in the video window  69  of the super-resolution processing window  64 . When the user  60  was satisfied with these super-resolution processing conditions and operated the terrestrial digital TV  80  to switch the input setting to video, the video being displayed in the video window  69  was displayed full-screen on the terrestrial digital TV  80 . Then, the user  60  operated the video-display-mode designating button  56  to switch to the super-resolution-TV-video mode, thus viewing the super-resolution TV video  69  displayed in the video window  69  and in full-screen on the terrestrial digital TV  80 . 
       FIG. 28  is a drawing showing an example of the state of super-resolution processing according to the first embodiment.  FIG. 28  shows one video frame displayed in a half-division fashion in the test mode such that the TV video  67  and the super-resolution TV video  68  are displayed side by side. The right half represents a frame of the TV video  67  before super-resolution processing, and the left half represents a frame of the super-resolution TV video  68 , obtained by subjecting the frame in the right half to super-resolution processing. At the top right corner of the frame of the super-resolution TV video  68 , the degradation index  2  is displayed with a symbol F, the maximum number of iterations 1 is displayed with a symbol I, and an abbreviation “test” is displayed to indicate that the video display mode is the test mode. It is understood from  FIG. 28  that, although the display start position of the TV video  67  is somewhat shifted to the right compared with that of the super-resolution TV video  68 , the super-resolution quality achieved by the TV-video accelerated super-resolution processing system  49  of the first embodiment according to the present invention is sufficiently practical. 
     The first image restoring means W 20  constituting the TV-video accelerated super-resolution processing device  40  according to the present invention can be changed to the second image restoring means W 88  by using the second accelerated super-resolution processing program  38  and can also be changed to the third image restoring means W 107  by using the third accelerated super-resolution processing program  39 . However, the system that is implemented on the computer  48  is the TV-video accelerated super-resolution processing system  49 . Although the second image restoring means W 88  and the third image restoring means W 107  are image restoring means suitable for hardware implementations, the TV-video accelerated super-resolution processing system  49  is based on software, although hardware is used for signal processing. Thus, there is no considerable difference in speed, and there is no difference in processing quality. 
     A second embodiment is a first set-top box  81 , which is a box implementation of the second aspect of the TV-video accelerated super-resolution processing device  40  employing a hardware implementation of the second image restoring means W 88 . The first set-top box  81  is implemented entirely in hardware since the preparing means W 19  is all hardware except that the PSF preparing means W 3 - 3  employs a software-defined computer board  93  and the second image restoring means W 88  also employs hardware. Thus, operation at a higher speed is possible compared with the TV-video accelerated super-resolution processing system  49  according to the first embodiment. The super-resolution quality of the first set-top box  81  is the same as that of the TV-video accelerated super-resolution processing system  49  according to the first embodiment. 
       FIG. 29  is a diagram showing an example of the internal configuration of the first set-top box  81 . The first set-top box  81  shown in  FIG. 29  is constituted of: a digital-TV-video-signal input/output terminal  50  used for input/output of digital TV-video signals; a TV-video input board  51 ; a super-resolution TV-video output board  52 ; a super-resolution-processing-mode switching control circuit board  53 ; a digital TV video cable  54 ; a bus cable  55 ; an F setting means  80  used to set a degradation index  2  indicating a degree of degradation of TV video  67 ; an I setting means  83  used to set a maximum number of iterations 1; a mode switch  84  for switching the super-resolution processing mode between testing and main processing; a monitor switch  85  for designating whether to superimpose the super-resolution processing mode and the values of the F setting means  82  and I setting means  83  on TV video signals; an LCD (Liquid Crystal Display) monitor  86  for constantly monitoring the super-resolution processing mode and the values of the F setting means  82  and I setting means  83 ; a power supply switch  87  used to turn on/off the power supply for the first set-top box  81 ; an LED (Light Emitting Diode) lamp  88  that turns on only when the power supply switch  87  is on; a case  89 ; an F circuit board  90  in which the second image restoring means W 88  of the TV-video accelerated super-resolution processing device  40  is fabricated by using an FPGA; an up-converter circuit board  91  that automatically determines whether digital TV video signals are digital interlace or progressive TV-video signals and that converts the digital TV-video signals into progressive TV video signals only in the case of digital interlace signals; a computer board  93  including a computer  92  having installed thereon in advance the PSF preparing means W 3 - 3  for searching the extended PSF database  18  stored in an HDD  95 , on the basis of the degradation index  2  designated by using the F setting means  82 , to output a series of PSF luminance distributions  3 ; a PSF-preparing-means implementing program  94  for implementing all the means in the PSF preparing means W 3 - 3  in the computer  48 , in which a processing procedure for these means is described; the HDD  95 ; a power-supply circuit board  96  that supplies appropriate electric power as needed to the components in the first set-top box  81 ; a heat dissipating fan  97  that receives optimal driving conditions from the computer board  93  and assists heat dissipation with a suitable amount of wind; a LAN terminal  98 ; USB terminals  99  to  101 ; a commercial AC single-phase 100 V power supply cable  102 ; a power supply cable  103 ; a signal line  104 ; and a signal line  105 . 
     The super-resolution-processing-mode switching control circuit board  53  constantly reads and automatically determines the states of the mode switch  84  and the monitor switch  85 . (Mode 1) If the mode switch  84  designates the main-processing mode and the monitor switch  85  designates no superimposition, the super-resolution-processing-mode switching control circuit board  53  receives single-frame TV-video signals  5  from the up-converter circuit board  91  and outputs the TV-video signals  5  to the TV-video input board  51 , and outputs single-frame super-resolution TV-video signals  12  after super-resolution processing, output from the super-resolution TV-video output board  52 , to the digital-TV-video-signal input/output terminal  50 . (Mode 2) If the mode switch  84  designates the main-processing mode and the monitor switch  85  designates superimposition, the super-resolution-processing-mode switching control circuit board  53  receives single-frame TV-video signals  5  from the up-converter circuit board  91  and outputs the TV-video signals  5  to the TV-video input board  51 , and then outputs single-frame super-resolution TV-video signals  12  after super-resolution processing, output from the super-resolution TV-video output board  52 , with information read from the computer board  93  superimposed at the top right corner, to the digital-TV-video-signal input/output terminal  50 . (Mode 3) If the mode switch  84  designates the test mode and the monitor switch  85  designates no superimposition, the super-resolution-processing-mode switching control circuit board  53  receives single-frame TV-video signals  5  from the up-converter circuit board  39 , copies the TV-video signals  5 , outputs one version to the TV-video input board  51  while simultaneously delaying the other version by one frame, compresses the delayed version such that the horizontal width becomes half and it fits the right half of one screen, compresses single-frame super-resolution TV-video signals  12  after super-resolution processing, output from the super-resolution TV-video output board  52 , such that the horizontal width becomes half and it fits the left half of one screen, combines these two halves, and outputs single-frame TV-video signals, adjusted such that the right half of one screen is the frame before super-resolution processing and the left half of the screen is the frame after super-resolution processing, to the digital-TV-video-signal input/output terminal  50 . (Mode 4) If the mode switch  84  designates the test mode and the monitor switch  85  designates superimposition, the super-resolution-processing-mode switching control circuit board  53  receives single-frame TV-video signals  5  from the up-converter circuit board  91 , copies the TV-video signals  5 , outputs one version to the TV-video input board  51  while simultaneously delaying the other version by one frame, compresses the delayed version such that the horizontal width becomes half and it fits the right half of one screen, compresses single-frame super-resolution TV-video signals  12  after super-resolution processing, output from the super-resolution TV-video output board  52 , such that the horizontal width becomes half and it fits the left half of one screen, combines these two halves, and outputs single-frame TV-video signals, adjusted such that the right half of one screen is the frame before super-resolution processing and the left half of the screen is the frame after super-resolution processing, with information read from the computer board  93  superimposed at the top right corner, to the digital-TV-video-signal input/output terminal  50 . 
     The F setting means  82  is used to set a degradation index  2  corresponding to a degree of optical degradation of TV video  67  displayed on a TV monitor  106  of the terrestrial digital TV  80 , and the F setting means  82  corresponds to the means W 2  of the TV-video accelerated super-resolution processing device  40 . The F setting means  82  is a bit switch that allows setting a three-digit decimal number. Data and electric power are supplied via the bus cable  55 . Furthermore, a bit switch having specifications such that the set value can be read directly is preferred. It is possible to obtain a bit switch having such specifications on the market. 
     The I setting switch  83  is used to set a maximum number of iterations 1. The I setting means  83  is a bit switch that allows setting a three-digit decimal number. Data and electric power are supplied via the bus cable  55 . Furthermore, a bit switch having specifications such that the set value can be read directly is preferred. It is possible to obtain a bit switch having such specifications on the market. 
     The computer board  93  is a computer based on the latest Windows (registered trademark) OS and is a PC motherboard that supports C++. The PC motherboard is preferred for the second embodiment since it has many external connection terminals, such as various I/O (Input/Output interface) terminals, LAN terminal  98 , USB terminals  99  to  101 , a microphone terminal, and a speaker terminal, and it is not so expensive. Various types of PC motherboard are available on the market, and any high-end motherboard can be used as long as it has a large amount of high-speed memory, such as a 16-GByte memory. Furthermore, C++ may be installed after purchasing the PC motherboard. 
     The PSF-preparing-means implementing program  94  is a program written in C++ and can be read and executed by a CPU installed on the computer board  93 . The PSF-preparing-means implementing program  94  is installed in advance, whereby the PSF preparing means W 3 - 3  is defined in the computer in the computer board  93 , the extended PSF database  18  that is referred to by the PSF preparing means W 3 - 3  is stored in the HDD  95 , and a control system for the cooling fan  97  is defined. The PSF preparing means W 3 - 3  and the control system for the cooling fan  97  are automatically executed after being initialized when the power supply switch  87  is turned on. However, the PSF preparing means W 3 - 3  and the control system for the cooling fan  97  operate on an environment provided by the Windows (registered trademark) OS. Thus, various interfaces and functions provided by the Windows (registered trademark) OS can be used directly, and communication using LAN or USB is constantly available. Furthermore, operation on the environment provided by the Windows (registered trademark) OS allows sophisticated control. This reduces the risk of failure due to a temperature rise inside the first set-top box  81 . 
     The HDD  95  stores Windows (registered trademark) OS (not shown), C++ (not shown), etc. as well as the PSF-preparing-means implementing program  94  and the extended PSF database  18 . The HDD  95  may be any HDD as long as it has a capacity not less than 1 TBytes, allows high-speed random read/write operations, has a bus interface and a buffer having a capacity not less than 8 Mbytes, and has specifications such that data and signals are sent and received and electric power is supplied via the bus cable  55 . Although various kinds of HDDs are available on the market, an HDD of the 2.5-inch size is preferred, considering the space. 
     The up-converter circuit board  91 , the TV-video input board  51 , the super-resolution TV-video output board  52 , and the super-resolution-processing-mode switching control circuit board  53  have to be custom fabricated using FPGAs. However, as for the up-converter circuit board  91  and the power-supply circuit board  96 , it is possible to purchase existing products satisfying design specifications on the market. 
       FIG. 30  shows an example of the set-up state of the first set-top box  81 . Referring to  FIG. 30 , the user  60  connected a digital signal cable  107  extending from a digital-video-signal/audio input/output terminal of the terrestrial digital TV  80  to the digital-TV-video-signal input/output terminal  50  of the first set-top box  81 . 
     Then, the user  60  first turned on the power supply switch  87  of the first set-top box  81  for power-on, then powered on the terrestrial digital TV  80 , tuned in to a channel of interest by using a channel changer  108  of the terrestrial digital TV  80 , and switched the mode switch  84  to the test mode and the monitor switch  85  to the superimposition mode while viewing TV broadcast video on a TV monitor  106  of the terrestrial digital TV  80 . Then, TV broadcast video before super-resolution processing is displayed in the right half of the TV monitor  106 , and TV broadcast video after super-resolution processing under default conditions is displayed without delay in the left half of the TV monitor  106 . Furthermore, at the top right corner of the TV monitor  106 , the default conditions are superimposed on the TV video, specifically, the value of the maximum number of iterations is displayed as “I=6,” the degree of blurring is displayed as “F=60,” and “test mode” is displayed. 
     Then, since the optical degradation of the frame was small, the user  60  changed the degradation index  2  from the default value of 60 to 30 among the 256 levels by using the F setting means  70 , maintained the maximum number of iterations at the default value of 2 among the 256 values by using the I setting means  83 , and checked, on the TV monitor  106 , how the image quality changed after the substantially real-time super-resolution processing. As a result, it was found that there was no significant change in the image quality and that values smaller than or equal to the default values work. 
     Furthermore, the user  60  can then discover a state of optimal image quality by changing the F setting means  82  and the I setting means  83  while checking, on the TV monitor  106 , changes in the image quality after the substantially real-time super-resolution processing. Once the super-resolution processing conditions (the setting values of the F setting means  82  and the I setting means  83 ) are determined, it is possible to enjoy TV broadcast video after the super-resolution processing in full-screen on the TV monitor  106  by switching the mode switch  84 . Even in this state, the super-resolution processing conditions can be changed. 
       FIG. 31  shows an example of the relationship between the number of iterations and the LSI scale based on development data of TV-video super-resolution methods by the inventor of the present invention. The standard of the maximum number of iterations 1 is 2 in the TV-video accelerated super-resolution processing system  49  according to the first embodiment and the first set-top box  81  according to the second embodiment, which are applications of the TV-video accelerated super-resolution processing device  40  based on the TV-video accelerated super-resolution processing method. In  FIG. 31 , this corresponds to the point at the left end. The second point from the left in  FIG. 31  corresponds to the standard maximum number of iterations in the TV-video super-resolution processing method in a related art invented by the inventor of the present invention, which is 6. As is apparent from  FIG. 31 , as a result of switching from the related art invented by the inventor of the present invention to the TV-video accelerated super-resolution processing method, the number of iterations is reduced to one third, and the number of gates in an FPGA implementation of an image restoring means in the form of an LSI can be reduced considerably from 1.5 million to 70 thousand. 
       FIG. 32  shows an example of comparison of the super-resolution processing quality between the related art invented by the inventor of the present invention and the TV-video accelerated super-resolution processing method. The left image in  FIG. 32  is an unprocessed degraded image composed of only luminance components of a color standard image. The center image in  FIG. 32  is obtained by the TV-video accelerated super-resolution processing, but by using a modification of the first set-top box  81  adapted to processing of one frame instead of video. The maximum number of iterations 1 is 2, and the degradation index  2  is 30. The right image in  FIG. 32  is obtained by the related art invented by the inventor of the present invention. The image is obtained by using a set-top box modified so as to be adapted to processing of one frame instead of video. The maximum number of iterations 1 is 6, and the degradation index is 2. It is understood from  FIG. 32  that the super-resolution processing quality is better with the TV-video accelerated super-resolution processing method than compared with the related art invented by the inventor of the present invention. This result coincides with the results of many experiments, and the result shown in  FIG. 32  is an example demonstrating that the super-resolution processing quality of the TV-video accelerated super-resolution processing method is equivalent to or higher than that of the related art invented by the inventor of the present invention. 
       FIG. 33  shows an example of the relationship between the degree of degradation of standard images and the number of iterations and the super-resolution processing quality.  FIG. 33  summarizes, in relation to degradation indices  2  and maximum numbers of iterations 1, super-resolution processing images obtained by preparing standard images degraded to degrees corresponding to degradation indices  2  of 30, 54, and 74 and executing super-resolution processing with maximum numbers of iterations 1 of 2 and 3 according to the TV-video accelerated super-resolution processing method by using a modification of the first set-top box  81  adapted to processing of one frame instead of video. It is understood from  FIG. 33  that the super-resolution processing quality is good and the effect due to the degradation index  2  and the maximum number of iterations 1 can be ignored if the degradation index  2  falls in a range of 30 to 74 and if the maximum number of iterations 1 is at least 2. The range of 30 to 74 of the degradation index  2  falls in a range from standard to quite poor in the current terrestrial digital TV video. Thus, it is understood that the TV-video accelerated super-resolution processing method is suitable for processing of terrestrial digital TV video. 
     A third embodiment is a second set-top box  109 , which is an application of the third aspect of the TV-video accelerated super-resolution processing device  40 , in which the second image restoring means  88  of the TV-video accelerated super-resolution processing device  40  according to the present invention is changed to the third restoring means. The hardware configuration of the second set-top box  109  is exactly the same as that of the first set-top box  81 . The only difference between the first set-top box  81  and the second set-top box  109  is that the means implemented in the F circuit board  90  is changed from the second image restoring means W 88  to the third image restoring means. Thus,  FIG. 29  is not redrawn. Furthermore, the only difference between the appearance of the first set-top box  81  and the second set-top box  109  is the reference numbers of these set-top boxes; that is, there is no substantial difference. Thus,  FIG. 30  is not redrawn. Also, there is no difference in the super-resolution processing quality, and a result equivalent to that shown in  FIG. 28  is obtained. 
     INDUSTRIAL APPLICABILITY 
     The present invention is applicable to any application that utilizes TV video. Thus, the present invention can be utilized in the precision equipment industry and electronics industry that develop and manufacture video cameras and digital cameras, the software industry involving applications, games, etc., the medical equipment industry involving endoscopes, MRI, etc., the information equipment industry involving monitors, etc., the anti-disaster and anti-crime equipment industry involving surveillance cameras, etc., the archiving industries, etc. 
     REFERENCE SIGNS LIST 
     
         
         ( 1 ) to ( 9 ) Inputs by user 
         (A) to (I) Responses by computer 
           1  Maximum number of iterations 
           2  Degradation index 
           3  Series of PSFs 
           3  Series of PSF luminance distributions 
           4  Luminance distribution of degraded image 
           5  Single-frame TV video signals 
           6  Estimated luminance distribution of restored-image initial values 
           7  PSF size 
           8  Estimated luminance distribution of corrected-restored-image initial values 
           9  PSF luminance distribution 
           10  Estimated luminance distribution of restored image 
           11  Luminance distribution of maximum-likelihood restored image 
           12  Super-resolution TV video signals 
           13  PSF database 
           14  First PSF luminance distribution 
           15  Luminance distribution of PSF initial values 
           16  Luminance distribution of maximum-likelihood restored PSF 
           17  n-th PSF luminance distribution 
           18  Extended PSF database 
           19  Luminance distribution of degraded PSF 
           20  Estimated luminance distribution of restored-PSF initial values 
           21  Estimated luminance distribution of corrected-restored-PSF initial values 
           22  Estimated luminance distribution of restored PSF 
           23  Image filename of PSF luminance distribution  9   
           24  Second PSF luminance distribution 
           25  n_max-th PSF luminance distribution 
           26  Buffer for saving degraded image 
           27  Buffer for restored-image initial values 
           28  RGB signals 
           29  Remaining TV video signals 
           30  YUV signals 
           31  Luminance distribution of Y degraded image 
           32  Distribution of U degraded image 
           33  Distribution of V degraded image 
           34  Distribution of YUV restored image 
           35  Distribution of RGB restored image 
           36  After restoration 
           37  Not shown 
           37  First accelerated super-resolution processing program 
           38  Second accelerated super-resolution processing program 
           39  Third accelerated super-resolution processing program 
           40  TV-video accelerated super-resolution processing device 
           41  W 22   
           42  Region where computation is difficult 
           43  Fourth accelerated super-resolution processing program 
           44  Fifth accelerated super-resolution processing program 
           45  Sixth accelerated super-resolution processing program 
           46  First storage medium 
           47  Second storage medium 
           48  Computer 
           49  TV-video accelerated super-resolution processing system 
           50  Digital-TV-video-signal input/output terminal 
           51  TV-video input board 
           52  Super-resolution TV-video output board 
           53  Super-resolution-processing-mode switching control circuit board 
           54  Digital TV video cable 
           55  Bus cable 
           56  Video-display-mode designating button 
           56  Not shown 
           57  Condition-display designating button 
           57  Not shown 
           58  TV-video-accelerated-super-resolution-processing-device icon 
           59  Monitor 
           60  User 
           61  TV-video accelerated super-resolution processing device program 
           62  Super-resolution-processing-window creating program 
           63  Super-resolution-processing-window monitoring and handling program 
           64  Super-resolution processing window 
           65  Keyboard 
           66  Mouse 
           67  TV video 
           68  Super-resolution TV video 
           69  Video window 
           70  Information window 
           71  Degradation-index setting button 
           72  Maximum-number-of-iterations setting button 
           73  Super-resolution-processing start button 
           74  Super-resolution-processing suspend button 
           75  Super-resolution-processing resume button 
           76  Super-resolution-processing stop button 
           77  Help button 
           78  Video enlarge/reduce button 
           79  Close button 
           80  Terrestrial digital TV 
           81  First set-top box 
           82  F setting means 
           83  I setting means 
           84  Mode switch 
           85  Monitor switch 
           86  LCD monitor 
           87  Power supply switch 
           88  LED lamp 
           89  Case 
           90  F circuit board 
           91  Up-converter circuit board 
           92  Computer 
           93  Not shown 
           94  PSF-preparing-means implementing program 
           95  HDD 
           96  Power-supply circuit board 
           97  Heat dissipating fan 
           98  LAN terminal 
           99  USB terminal 
           100  USB terminal 
           101  USB terminal 
           102  Commercial AC single-phase 100-V power supply cable 
           103  Power supply cable 
           104  Signal line 
           105  Signal line 
           106  TV monitor 
           106  Not shown 
           107  Digital signal cable 
           108  Channel changer 
           109  Second set-top box 
         F Degradation index 
         FCN  13  Thirteenth function 
         FCN  14  Fourteenth function 
         FCN  15  Fifteenth function 
         FNC  16  Sixteenth function 
         FNC  17  Seventeenth function 
         FNC  18  Eighteenth function 
         FNC  19  Nineteenth function 
         FNC  20  Twentieth function 
         FNC  21  Twenty-first function 
         FNC  22  Twenty-second function 
         FNC  23  Twenty-third function 
         FNC  24  Twenty-fourth function 
         I Number of iterations 
         S 1  Step 
         S 2  Degradation-index designating step 
         S 3  PSF preparing step 
         S 3 - 2  Second aspect of PSF preparing step S 3   
         S 3 - 3  Third aspect of PSF preparing step S 3   
         S 4  Degraded-image preparing step 
         S 5  Restored-image-initial-value preparing step 
         S 6  PSF-size obtaining step 
         S 7  First resetting step 
         S 8  Step 
         S 8  First restored-image-initial-value correcting step 
         S 9  PSF selecting step 
         S 10  to S 18  Steps 
         S 19  Preparing step 
         S 20  First image restoring step 
         S 21  First accelerated super-resolution processing step 
         S 22  TV-video rendering step 
         S 30  to S 63  Steps 
         S 64  PSF restoring step 
         S 65  to S 76  Steps 
         S 80  PSF providing step 
         S 81  First single-iteration image restoring step 
         S 81 - 1  First iteration of first single-iteration image restoring step 
         S 81 - 2  Second iteration of first single-iteration image restoring step 
         S 81 - n _max n_max-th iteration of first single-iteration image restoring step 
         S 81 - n  n-th iteration of first single-iteration image restoring step 
         S 82  to S 87  Steps 
         S 88  Second image restoring step 
         S 90  to S 106  Steps 
         S 107  Third image restoring step 
         S 110  RGB-signal extracting step 
         S 111  Delaying step 
         S 112  YUV conversion step 
         S 113  Y-degraded-image extracting step 
         S 114  Degamma processing step 
         S 120  to S 124  Steps 
         W 1  Means 
         W 2  Degradation-index designating means 
         W 3  PSF preparing means 
         W 3 - 2  Second aspect of PSF preparing means 
         W 3 - 3  Third aspect of PSF preparing means 
         W 4  Degraded-image preparing means 
         W 5  Restored-image-initial-value preparing means 
         W 6  PSF-size obtaining means 
         W 7  First resetting means 
         W 8  Means 
         W 8  First restored-image-initial-value correcting means 
         W 9  PSF selecting means 
         W 10  to W 18  Means 
         W 19  Preparing means 
         W 20  First image restoring means 
         W 21  First accelerated super-resolution processing means 
         W 22  TV-video rendering means 
         W 30  to W 63  Means 
         W 64  PSF restoring means 
         W 70  to W 80  Means 
         W 81  First single-iteration image restoring means 
         W 81 - 1  First stage of first single-iteration image restoring means 
         W 81 - 2  Second stage of first single-iteration image restoring means 
         W 81 - n _max n_max-th stage of first single-iteration image restoring means 
         W 81 - n  n-th stage of first single-iteration image restoring means 
         W 82  to W 87  Means 
         W 88  Second image restoring means 
         W 96  to W 106  Means 
         W 107  Third image restoring means 
         W 110  RGB-signal extracting means 
         W 111  Delaying means 
         W 112  YUV conversion means 
         W 113  Y-degraded-image extracting means 
         W 114  Degamma processing means 
         W 120  to W 124  Means
       {