METHOD AND APPARATUS FOR HALFTONING PROCESS

Abstract: A primary binary image is converted into a weighted multivalued image with pixel values weighted. An upper shift-inverting unit inverts the pixel values, shifts them upward by one dot, and thus converts the primary binary image into an inverted upper-shifted image. A lower shift inverting unit inverts the pixel values, shifts them downward by one dot, and thus converts the primary binary image into an inverted lower-shifted image. A right shift inverting unit inverts the pixel values, shifts them rightward by one dot, and thus converts the primary binary image into an inverted right-shifted image. A left shift inverting unit inverts the pixel values, shifts them leftward by one dot, and thus converts the primary binary image into an inverted left-shifted image. A gradation processing unit subtracts the inverted upper-shifted image, inverted lower-shifted image, inverted right-shifted image and inverted left-shifted image from the weighted multivalued image, thereby synthesizing these pieces of image data. The primary binary image is thus converted into the half-tone image with gradations containing half-tones.

Description: The present invention relates generally to processing of a binary image consisting of binary pixels as in the case of a character font image and, more particularly, to an image half-tone processor for expressing the binary image as a multi-gradated image containing half-tones and capable of providing a comparatively easy-to-see display or print, etc. for a given output dot density. In recent years, there has increasingly been a rapid enhancement in terms of MMI (Man-Machine Interface) owing to an advancement in GUI (Graphical User Interface) in computers. Corresponding to such a trend, increasingly, image data containing images and characters are displayed in a variety of sizes, or printed by a printer, etc. and outputted. On the other hand, with a diversification of the display information, a prevailing type of display device is, though of limited resolution in a so-called monochrome display, capable of displaying with multi-gradations. For example, the great majority of liquid crystal display devices (LCDs) of low resolution are capable of 8- or 16-gradation display containing half-tones in addition to two gradations in black and white. Meanwhile, a comparatively inexpensive output device, especially a small-sized display device is generally low in resolution and tends to be hard to read owing to jagged outlines produced when displaying binary image data consisting of only black or white pixels. A more remarkable tendency of this sort can be seen in the liquid crystal display often used for particularly a carriable type appliance such as a so-called notebook type personal computer because of rectangular dots being uniform in terms of display dots. When outputting text, i.e., characters having the same font size (e.g., 10.5 point) to a display device and a printer that are defined as outputting devices, a letter image, viz., a character image actually displayed on the display device and a character image printed by'the printer are expressed with different numbers of dots on account of a difference in resolution between the outputting devices. Therefore, the display device generally exhibiting a lower resolution than the printer only displays a rough approximation of the character, having a jagged outline. It is an object of the present invention, which was contrived under such circumstances, to provide an image half-tone processor capable of giving an easy-to-see display with a high visual recognizability by converting a primary binary image (an original binary image) into a multi-graduated image and outputting the image based on the multi-graduation expression in a system for outputting the binary image by use of an outputting device capable of expressing it with the multi-gradations containing half-tones. US-A-5 748 798 and JP-A-7 199 903 disclose an image half-tone processor according to the preamble of claim 1. This processor receives a primary image in the form of gray scale data. Another image processor disclosed in these documents receives binary image data but also outputs a binary image. JP-A-6 168 322 discloses a method of obtaining a half-tone image by adding, to the value of a pixel, the number of black pixels surrounding that pixel. According to the present invention, there is provided an image half-tone processor comprising: pixel converting means for weighting each of pixels of a primary image, and converting the primary image into a multivalued image consisting of weighted pixel values; gradation processing means for forming a half-tone image; and image outputting means for outputting the half-tone image formed by said gradation processing means; characterised in that: said primary image is a binary image; shift inversion processing means are provided for forming respectively a plurality of shift-inverted images into which the primary binary image is inverted and shifted in a plurality of peripheral directions corresponding to a pixel array of the primary binary image; and in that said gradation processing means forms the half-tone image by subtracting the pixel values of the plurality of shift-inverted images obtained by said shift inversion processing means from the pixel value of the multivalued image obtained by said pixel converting means. The shift inversion processing unit may be a unit for forming respectively four shift-inverted images into which the primary binary image is inverted and shifted in upper-, lower-, and right-directions, and the gradation processing unit may be a unit for forming a half-tone image on the basis of the multivalued image obtained by the pixel converting unit and the four shift-inverted images obtained by the shift inversion processing unit. The shift inversion processing unit may be a unit for forming respectively four shift-inverted images into which the primary binary image is inverted and shifted in left-upper-, left-lower-, right-upper- and right-lower-directions, and the gradation processing unit may be a unit for forming a half-tone image on the basis of the multivalued image obtained by the pixel converting unit and the four shift-inverted images obtained by the shift inversion processing unit. The shift inversion processing unit may be a unit for forming respectively eight shift-inverted images onto which the primary binary image is inverted and shifted in upper-, lower-, left-, right-, left-upper-, left-lower-, right-upper- and right-lower-directions, and the gradation processing unit may be a unit for forming a half-tone image on the basis of the multivalued image obtained by the pixel converting unit and the eight shift-inverted images obtained by the shift inversion processing unit. The gradation processing unit may be a unit for additionally synthesizing the multivalued image obtained by the pixel converting unit and the plurality of shift-inverted images obtained by the shift inversion processing unit per pixel corresponding to the multivalued image. In one embodiment of the invention, the image half-tone processor further comprises an enlarged image forming unit for forming a primary binary image having a size that is (x X y) times as large as a desired output size, and a reduction processing unit for reducing the half-tone image formed by the gradation processing unit down to a size by a factor of (1/x) X (1/y), wherein the image outputting device outputs the half-tone image formed by the reduction processing unit. The primary binary image may be character font data. According to a second aspect of the invention, there is provided an image half-tone processing method comprising: a pixel converting step of weighting each of pixels of a primary image, and converting the primary image into a multivalued image consisting of weighted pixel values; characterised by: in said pixel converting step, said primary image being a binary image; and by the further steps of: a shift inversion processing step of forming respectively a plurality of shift-inverted images into which the primary binary image is inverted and shifted in a plurality of peripheral directions corresponding to a pixel array of the primary binary image; a gradation processing step of forming a half-tone image by subtracting the pixel values of the plurality of shift-inverted images obtained by said shift inversion processing step from the pixel value of the multivalued image obtained by said pixel converting step; and an image outputting step of outputting the half-tone image formed by said gradation processing step. A third aspect of the invention provides a recording medium storing a program for causing a computer to implement: a pixel converting step of weighting each of pixels of a primary binary image, and converting the primary binary image into a multivalued image consisting of weighted pixel values; a shift inversion processing step of forming respectively a plurality of shift-inverted images into which the primary binary image is inverted and shifted in a plurality of peripheral directions corresponding to a pixel array of the primary binary image; a gradation processing step of forming a half-tone image by subtracting the pixel values of the plurality of shift-inverted images obtained by said shift inversion processing step from the pixel value of the multivalued image obtained by said pixel converting step; and an image outputting step of outputting the half-tone image formed by said gradation processing step. Reference will now be made, by way of example only, to the accompanying drawings in which: FIG. 1 is a block diagram illustrating a functional construction of a half tone processing unit defined as a principal portion of an image half-tone processor in a first embodiment of the present invention. FIG. 2 is a block diagram showing a system construction of the image half-tone processor using the half-tone processing unit in FIG. 1; FIG.s 3 to 10 are schematic diagrams showing image data for explaining an operation in the image processor in FIG. 1; FIG. 11 is a block diagram illustrating a functional construction of the half-tone processing unit defined as a principal portion of the image half-tone processor in a second embodiment of the present invention; FIG.s 12 to 17 are schematic disgrams showing image data for explaining an operation in the image processor in FIG. 11; FIG. 18 is a block diagram illustrating a functional construction of the half-tone processing unit defined as a principal portion of the image half-tone processor in a third embodiment of the present invention; FIG.s 19 to 21 are schematic diagrams showing image data for explaining an operation in the image processor in FIG. 18; FIG. 22 is a block diagram showing a system construction of the image half-tone processor in a fourth embodiment of the present invention; FIG. 23 is a block diagram illustrating the functional construction of the half-tone processing unit defined as a principal portion of the image half-tone processor in FIG. 22; FIG.s 24 and 25 are schematic diagrams showing image data for explaining an operation in the image processor in FIG. 22; FIG. 26 is a block diagram showing a functional construction of the half-tone processing unit defined as a principal portion of the image half-tone processor in a fifth embodiment of the present invention; FIG.s 27 and 28 are schematic diagrams showing the image data for explaining the operation in the image processor in FIG. 26; FIG. 29 is a block diagram illustrating a functional construction of the image half-tone processor in a sixth embodiment of the present invention; FIG.s 30 to 32 are schematic diagrams showing output image data for explaining an operation in the image processor in FIG. 29; FIG. 33 is a diagram showing the output image data by a normal system for a comparison with FIG. 32; FIG. 34 is a diagram showing an enlarged image of the output image data in FIG. 32; and FIG. 35 is a diagram showing the enlarged image of the output image data in FIG. 33. Embodiment 1 FIG. 1 shows a functional construction of a half-tone processing unit defined as a principal unit of an image half-tone processor in accordance with a first embodiment of the present invention. Such a process can be actualized also by an image processing single-purpose apparatus or by a program provided in the form of being stored on a recording medium such as a CD-ROM, a flexible disk, a magnetic disk and a magneto-optic disk in a computer system capable of treating normal image data. A half-tone processing unit 1 in FIG. 1 includes a pixel converting unit 11, an upper-shift inverting unit 12, a lower-shift inverting unit 13, a right-shift inverting unit 14, a left-shift inverting unit 15, and a gradation processing unit 16. The pixel converting unit 11 weights each of pixels constituting a primary binary image. A specific weighting process by this pixel converting unit 11 is that, for example, with a white pixel set to "0" and a black pixel set to "1", "0" is, as it is, allocated to the white pixel, while the black pixel is allocated a value of "5" in this case, which is larger than "1", with respect to a binary image consisting of those binary numbers, i.e., "0" and "1". The upper-shift inverting unit 12 black-and-white-inverts a primary binary image and shifts it upward by one pixel, i.e., by one dot on pixel coordinates. That is, the upper-shift inverting unit 12 forms an inverted binary image with an exchange of the white pixel "0" and the black pixel "1" of the given binary image, shifts this inverted binary image upward by one dot, and further forms a binary image wherein the lowermost single row is filled with "1". The lower-shift inverting unit 13 black-and-white-inverts the primary binary image and shifts it downward by one pixel, i.e., by one dot on the pixel coordinates. That is, the lower-shift inverting unit 13 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given binary image, shifts this inverted binary image downward by one dot, and further forms a binary image wherein the uppermost single row is filled with "1". The right-shift inverting unit 14 black-and-white-inverts the primary binary image and shifts it rightward by one pixel, i.e., by one dot on the pixel coordinates. That is, the right-shift inverting unit 14 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given binary image, shifts the inverted binary image rightward by one dot, and further forms a binary image wherein the leftmost single row (column) is filled with "1". The left-shift inverting unit 15 black-and-white-inverts the primary binary image and shifts it leftward by one pixel, i.e., by one dot on the pixel coordinates. That is, the left-shift inverting unit 15 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given binary image, shifts this inverted binary image leftward by one dot, and further forms a binary image wherein the righmost column is filled with "1". The gradation processing unit 16 forms a half-tone image based on a multivalued image obtained by the pixel converting unit 11, and four binary images obtained respectively by the upper-shift inverting unit 12, the lower-shift inverting unit 13, the right-shift inverting unit 14 and the left-shift inverting unit 15. The gradation processing unit 16 executes a subtracting process on a pixel basis between the multivalued image obtained by the pixel converting unit 11 and the four binary images obtained respectively by the upper-shift inverting unit 12, the lower-shift inverting unit 13, the right-shift inverting unit 14 and the left-shift inverting unit 15, and thereby obtains a half-tone image by additionally synthesizing these images. More specifically, the gradation processing unit 16 subtracts "1" from the weighted pixels described above, when the pixels of the thus inverted/shifted binary image which pixels are disposed in corresponding coordinate positions, are "1" with respect to the weighted pixels having the pixel values "5" in the coordinate positions where the multivalued image exists. At this time, no subtracting process is effected on the pixels "0" of the multivalued image. This subtracting process is repeated with respect to each of the four inverted/shifted binary images. For instance, if all the pixel values of the four binary images in the coordinate positions corresponding to the pixel values "5" of the above multivalued image, are "1", the pixel value of the relevant pixel as a result (5 - 1 - 1 - 1 - 1 = 1) of executing all the subtractions, becomes "1". The half-tone image is a result of all the four inverted/shifted binary images being subtracted per pixel by the gradation processing unit 16. The image half-tone processor using the thus operated half-tone processing 1 is, as illustrated in FIG. 2, constructed of the half-tone processing unit 1 and the image output device 2. The image outputting device 2 is a display (e.g. LCD) or printer expressing the image with multi-gradations and outputting the image. Next, one example of the image half-tone processor shown in FIG. 2 will be specifically explained with reference to FIGS. 3 through 10 with an emphasis upon, particularly, the processing operation of the half-tone processing unit 1 illustrated in FIG. 1. FIG. 3 illustrates one example of the primary binary image consisting of the white and black pixels inputted to the half-tone processing unit 1 shown in FIG. 1. The primary binary image is expressed in such a way that the pixel value of the white pixel is "0", while the pixel value of the black pixel is "1". The pixel converting unit 11 makes the pixel values of the white pixels remain to be "0", and weights the pixel values of the black pixels with pixel values "5", whereby the primary binary image in FIG. 3 is thus converted into a weighted multivalued image as illustrated in FIG. 4. Further, the upper-shift inverting unit 12 black-and-white-inverts the primary binary image in FIG. 3 by exchanging the pixel values "0" and the pixel values "1" with each other, and shifts the entire image upward by one pixel, i.e., by one dot, whereby the primary binary image is converted into an inverted upper-shifted image as shown in FIG. 5. At this time, the lowermost single row is filled with "1". The lower-shift inverting unit 13 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image downward by one pixel, i.e., by one dot, whereby the primary binary image is converted into an inverted lower-shifted image as shown in FIG. 6. At this time, the uppermost single row is filled with "1". The right-shift inverting unit 14 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image rightward by one pixel, i.e., by one dot, whereby the primary binary image is converted into an inverted right-shifted image as shown in FIG. 7. At this time, the leftmost column is filled with "1". Similarly, the left-shift inverting unit 15 exchanges the pixel values "0" and the pixel values "1" to each other, of the primary binary image in FIG. 3, and shifts the entire image leftward by one pixel, i.e., by one dot, whereby the primary binary image is converted into an inverted left-shifted image as shown in FIG. 8. At this time, the rightmost column is filled with "1". The gradation processing unit 16 subtracts the inverted upper-shifted image (FIG. 5), the inverted lower-shifted image (FIG. 6), the inverted right-shifted image (FIG. 7) and the inverted left-shifted image (FIG. 8) that are composed of the binary images formed respectively by the upper-shift inverting unit 12, the lower-shift inverting unit 13, the right-shift inverting unit 14 and the left-shift inverting unit 15, from the weighted multivalued image formed by the pixel converting unit 11 that is shown in FIG. 4. The gradation processing unit 16 thereby synthesizes image data thereof and thus forms a half-tone image with gradations containing half-tonesas shown in FIG. 9. More specifically, the half-tone image in FIG. 9 is formed by subtracting the pixel values "0" or "1" of the inverted upper-shifted image, the inverted lower-shifted image, the inverted right-shifted image and the inverted left-shifted image, from the pixel values "5" with respect to the pixels having the pixel values "5" excluding the pixel values "0" of the weighted multivalued image. The thus formed half-tone image is provided with gradations, e.g., density gradations corresponding to the pixel values and then outputted by the image outputting device 2 illustrated in FIG. 2. FIG. 10 shows one example of outputting, wherein, for example, the pixels having the pixel values "5" are expressed in 100% black, the pixels having the pixel values "4" are in 75% black, the pixels having the pixel values "3" are in 50% black, the pixels having the pixel values "2" are in 25% black, and the pixels having the pixel values "0" are in 0% black (i.e., white). With this arrangement, a jagged outline of the primary binary image has pixels with a low gradation, thereby smoothing the whole outline in terms of a visual aspect. This makes it feasible to provide an easy-to-see display or print with a high visual recognizability. Embodiment 2 In the above-mentioned gradation processing unit 1 shown in FIG. 1, the inverted image of the primary binary image is upper- lower- left- and right-shifted, and the subtraction from the weighted multivalued image is executed, thereby forming the half-tone image. The half-tone image may also be, however, formed by subtracting an inverted image shifted in four oblique left-upper-, left-lower-, right-upper- and right-lower-directions in place of the upper-, lower-, left- and right-directions. This is a second embodiment of the present invention. FIG. 11 illustrates a functional construction of the half-tone processing unit defined as the principal unit of the image half-tone processor in accordance with the second embodiment of the present invention. A half-tone processing unit 1A in FIG. 11 includes a left-upper-shift inverting unit 17, a left-lower-shift inverting unit 18, a right-upper-shift inverting unit 19, and a right-lower-shift inverting unit 20 in addition to the pixel converting unit 11 and the gradation processing unit 19 that incorporate the same functions as those in FIG. 1. The pixel converting unit 11, as already stated, weights each of the pixels constituting the primary binary image. A specific weighting process by this pixel converting unit 11 is that, for instance, "0" is, as it is, allocated to the white pixel, while the black pixel is allocated with a value of "5", which is larger than "1", with respect to the binary image consisting of the white pixels set to "0" and the black pixels set to "1". The left-upper-shift inverting unit 17 black-and-white-inverts the primary binary image and shifts it leftward upward by one pixel, i.e., by one dot on the pixel coordinates. That is, the left-upper-shift inverting unit 17 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given binary image, shifts this inverted binary image leftward by one dot and upward by one dot, and further forms a binary image wherein each of the right most and lowermost rows is filled with "1". The left-lower-shift inverting unit 18 black-and-white-inverts the primary binary image and shifts it leftward downward by one pixel, i.e., by one dot on the pixel coordinates. That is, the left-lower-shift inverting unit 18 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given binary image, shifts this inverted binary image leftward by one dot and downward by one dot, and further forms a binary image wherein each of the rightmost and uppermost rows is filled with "1". The right-upper-shift inverting unit 19 black-and-white-inverts the primary binary image and shifts it rightward upward by one pixel, i.e., by one dot on the pixel coordinates. That is, the right-upper-shift inverting unit 19 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given binary image, shifts the inverted binary image rightward by one dot and upward by one dot, and further forms a binary image wherein each of the leftmost and lowermost rows is filled with "1". The right-lower-shift inverting unit 20 black-and-white-inverts the primary binary image and shifts it rightward downward by one pixel, i.e., by one dot on the pixel coordinates. That is, the right-lower-shift inverting unit 20 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given binary image, shifts this inverted binary image rightward by one dot and downward by one dot, and further forms a binary image wherein the leftmost and uppermost rows is filled with "1". The gradation processing unit 16 forms a half-tone image based on a multivalued image obtained by the pixel converting unit 11, and four binary images obtained respectively by, in this case, the left-upper-shift inverting unit 17, the left-lower-shift inverting unit 18, the right-upper-shift inverting unit 19 and the right-lower-shift inverting unit 20. The gradation processing unit 16 executes a subtracting process on the pixel basis between the multivalued image obtained by the pixel converting unit 11 and the four binary images obtained respectively by the left-upper-shift inverting unit 17, the left-lower-shift inverting unit 18, the right-upper-shift inverting unit 19 and the right-lower-shift inverting unit 20, and thereby obtains a half-tone image by additionally synthesizing these images. More specifically, the gradation processing unit 16 subtracts "1" from the weighted pixels described above, when the pixels of the thus inverted/shifted binary image which pixels are disposed in corresponding coordinate positions, are "1" with respect to the weighted pixels having the pixel values "5" in the coordinate positions where the multivalued image exists. At this time, no subtracting process is effected on the pixels "0" of the multivalued image. This subtracting process is repeated with respect to each of the four inverted/shifted binary images. The half-tone image is a result of all the four inverted/shifted binary images being subtracted per pixel by the gradation processing unit 16. The image half-tone processor using the thus operated half-tone processing 1A is, as in the same way in FIG. 2, constructed. In this case, the half-tone processing unit 1 is replaced with the half-tone processing unit 1A. Next, a processing operation of the half-tone processing unit 1A illustrated in FIG. 11 will be specifically explained with reference to FIGS. 3, 4 and 12 through 17. FIG. 3 illustrates one example of a primary binary image consisting of the white and black pixels inputted to the half-tone processing unit 1A shown in FIG. 11. As already described. the primary binary image is expressed in such a way that the pixel value of the white pixel is "0", while the pixel value of the black pixel is "1". The pixel converting unit 11 makes the pixel values of the white pixels remain to be "0", and weights the pixel values of the black pixels with pixel values "5", whereby the primary binary image in FIG. 3 is thus converted into a weighted multivalued image as illustrated in FIG. 4. Further, the left-upper-shift inverting unit 17 black-and-white-inverts the primary binary image in FIG. 3 by exchanging the pixel values "0" and the pixel values "1" witheach other, and shifts the entire image leftward by one dot and upward by one dot in the Figure, whereby the primary binary image is converted into an inverted left-upper-shifted image as shown in FIG. 12. At this time, each of the right most and lowermost rows is filled with "1". The left-lower-shift inverting unit 18 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image leftward by one dot and downward by one dot in the Figure, whereby the primary binary image is converted into an inverted left-lower-shifted image as shown in FIG. 13. At this time, each of the right most and uppermost rows is filled with "1". The right-upper-shift inverting unit 19 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image rightward by one dot and upward by one dot in the Figure, whereby the primary binary image is converted into an inverted right-upper-shifted image as shown in FIG. 14. At this time, each of the leftmost and lowermost rows is filled with "1". Similarly, the right-lower-shift inverting unit 20 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image rightward by one dot and downward by one dot in the Figure, whereby the primary binary image is converted into an inverted right-lower-shifted image as shown in FIG. 15. At this time, each of the leftmost and uppermost rows is filled with "1". Subtracted from the weighted multivalued image formed by the pixel converting unit 11 that is shown in FIG. 4 are the inverted left-upper-shifted image (FIG. 12), the inverted left-lower-shifted image (FIG. 13), the inverted right-upper-shifted image (FIG. 14), and the inverted right-lower-shifted image (FIG. 15) that are composed of the binary images formed respectively by the left-upper-shift inverting unit 17, the left-lower-shift inverting unit 18, the right-upper-shift inverting unit 19 and the right-lower-shift inverting unit 20. Then, the image data thereof are synthesized, and a half-tone image with gradations containing half-tones as shown in FIG. 16 is formed. More specifically, the half-tone image in FIG. 16 is formed by subtracting the pixel values "0" or "1" of the inverted left-upper-shifted image, the inverted left-lower-shifted image, the inverted right-upper-shifted image and the inverted right-lower-shifted image, from the pixel values "5" with respect to the pixels having the pixel values "5" excluding the pixel values "0" of the weighted multivalued image. The thus formed half-tone image is provided with gradations, e.g., density gradations corresponding to the pixel values and then outputted by the image outputting device 2. FIG. 17 shows one example of outputting, wherein, for example, the pixels having the pixel values "4" are expressed in 100% black, the pixels having the pixel values "3" are in 66% black, the pixels having the pixel values "2" are in 33% black, and the pixels having the pixel values "0" are in 0% black (i.e., white). With this arrangement also, a jagged portion of the outline of the primary binary image is expressed with a low gradation, thereby smoothing the whole outline in terms of a visual aspect. This makes it feasible to provide an easy-to-see display or print with a high visual recognizability. Embodiment 3 In the above-mentioned gradation processing unit 1 shown in FIG. 1, the inverted image of the primary binary image is upper- lower- left- and right-shifted, and the subtraction from the weighted multivalued image is executed, thereby forming the half-tone image. The gradation processing unit 1A in FIG. 11 forms the half-tone image by shifting the inverted image of the primary binary image left upward, left downward, right upward and right downward and performing the subtraction from the weighted multivalued image. The half-tone image may also be, however, formed by subtracting an inverted image shifted in totally eight directions containing the four upper-, lower-, left- and right-directions plus four oblique left-upper-, left-lower, right-upper- and right-lower directions. This is a third embodiment of the present invention. FIG. 18 illustrates a functional construction of the half-tone processing unit defined as the principal unit of the image half-tone processor in accordance with the third embodiment of the present invention. A half-tone processing unit 1B in FIG. 18 includes the upper-shift inverting unit 12, the lower-shift inverting unit 13, the right-shift inverting unit 14, the left-shift inverting unit 15, the left-upper-shift inverting unit 17, the left-lower-shift inverting unit 18, the right-upper-shift inverting unit 19, and the right-lower-shift inverting unit 20 in addition to a pixel converting unit 21 and a gradation processing unit 22, which incorporate the same functions as those in FIGS. 1 and 11. The pixel converting unit 21 weights each of the pixels constituting the primary binary image. A specific weighting process by this pixel converting unit 21 is that, for instance, "0" is, as it is, allocated to the white pixel, while the black pixel is allocated a value of "9", which is larger than "1", with respect to the binary image consisting of the white pixels set to "0" and the black pixels set to "1". The upper-shift inverting unit 12, the lower-shift inverting unit 13, the left-shift inverting unit 14, the right-shift inverting unit 15, the left-upper-shift inverting unit 17, the left-lower-shift inverting unit 18, the right-upper-shift inverting unit 19 and the right-lower-shift inverting unit 20 black-and-white-invert the primary binary image and shift it upward, downward, leftward, rightward, left upward, left downward, right upward, and right downward by one dot on the pixel coordinates, and space areas produced due to shifting are filled with "1", thereby generating a binary image. The gradation processing unit 22 forms a half-tone image on the basis of the multivalued image obtained by the pixel converting unit 21, and eight binary images obtained respectively by, in this case, the upper-shift inverting unit 12, the lower-shift inverting unit 13, the left-shift inverting unit 14, the right-shift inverting unit 15, the left-upper-shift inverting unit 17, the left-lower-shift inverting unit 18, the right-upper-shift inverting unit 19 and the right-lower-shift inverting unit 20. The gradation processing unit 22 executes a subtracting process on a pixel basis between the multivalued image obtained by the pixel converting unit 21 and the eight binary images obtained respectively by the upper-shift inverting unit 12, the lower-shift inverting unit 13, the right-shift inverting unit 14, the left-shift inverting unit 15, the left-upper-shift inverting unit 17, the left-lower-shift inverting unit 18, the right-upper-shift inverting unit 19 and the right-lower-shift inverting unit 20, and thereby obtains a half-tone image by additionally synthesizing these images. More specifically, the gradation processing unit 22 subtracts "1" from the weighted pixels described above, when the pixels of the thus inverted/shifted binary image which pixels are disposed in corresponding coordinate positions, are "1" with respect to the weighted pixels having the pixel values "9" in the coordinate positions where the multivalued image exists. At this time, no subtracting process is effected on the pixels "0" of the multivalued image. This subtracting process is repeated with respect to each of the eight inverted/shifted binary images. The half-tone image is a result of all the eight inverted/shifted binary images being subtracted per pixel by the gradation processing unit 22. The image half-tone processor using the thus operated half-tone processing 1B is constructed in the same way as illustrated in FIG. 2. In this case, the half-tone processing unit 1B substitutes for the half-tone processing unit 1. Next, the processing operation of the image half-tone processing unit 1B illustrated in FIG. 18 will be specifically explained with reference to FIGS. 3, 5 through 8, 12 through 15 and 19 through 21. FIG. 3 illustrates one example of the primary binary image consisting of the white and black pixels inputted to the half-tone processing unit 1B shown in FIG. 18. As previously stated, the primary binary image is expressed in such a way that, for example, the pixel value of the white pixel is "0", while the pixel value of the black pixel is "1". The pixel converting unit 21 makes the pixel values of the white pixels remain to be "0", and weights the pixel values of the black pixels with pixel values "9", whereby the primary binary image in FIG. 3 is thus converted into a weighted multivalued image as illustrated in FIG. 19. The upper-shift inverting unit 12 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image upward by one pixel, i.e., by one dot, whereby the primary binary image is converted into an inverted upper-shifted image as shown in FIG. 5. At this time, the lowermost single row is filled with "1". The lower-shift inverting unit 13 exchanges the pixel values "0" and the pixel values "1" witheach other, of the primary binary image in FIG. 3, and shifts the entire image downward by one pixel, i.e., by one dot, whereby the primary binary image is converted into an inverted lower-shifted image as shown in FIG. 6. At this time, the uppermost single row is filled with "1". The right-shift inverting unit 14 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image rightward by one pixel, i.e., by one dot, whereby the primary binary image is converted into an inverted right-shifted image as shown in FIG. 7. At this time, the leftmost single row (column) is filled with "1". The left-shift inverting unit 15 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image leftward by one pixel, i.e., by one dot, whereby the primary binary image is converted into an inverted left-shifted image as shown in FIG. 8. At this time, the rightmost column row is filled with "1". The left-upper-shift inverting unit 17 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image leftward by one dot and upward by one dot in the Figure, whereby the primary binary image is converted into an inverted left-upper-shifted image as shown in FIG. 12. At this time, each of the rightmost and lowermost rows is filled with "1". The left-lower-shift inverting unit 18 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image leftward by one dot and downward by one dot in the Figure, whereby the primary, binary image is converted into an inverted left-lower-shifted image as shown in FIG. 13. At this time, each of the right most and uppermost rows is filled with "1". The right-upper-shift inverting unit 19 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image rightward by one dot and upward by one dot in the Figure, whereby the primary binary image is converted into an inverted right-upper-shifted image as shown in FIG. 14. At this time, each of the leftmost and lowermost rows is filled with "1". Similarly, the right-lower-shift inverting unit 20 exchanges the pixel values "0" and the pixel values "1" with each other, of the primary binary image in FIG. 3, and shifts the entire image rightward by one dot and downward by one dot in the Figure, whereby the primary binary image is converted into an inverted right-lower-shifted image as shown in FIG. 15. At this time, each of the leftmost and uppermost rows is filled with "1". Subtracted from the weighted multivalued image formed by the pixel converting unit 21 that is shown in FIG. 19 are the inverted upper-shifted image (FIG. 5), the inverted lower-shifted image (FIG. 6), the inverted right-shifted image (FIG. 7), the inverted left-shifted image (FIG. 8), the inverted left-upper-shifted image (FIG. 12), the inverted left-lower-shifted image (FIG. 13), the inverted right-upper-shifted image (FIG. 14), and the inverted right-lower-shifted image (FIG. 15) that are composed of the binary images formed respectively by the upper-shift inverting unit 12, the lower-shift inverting unit 13, the left-shift inverting unit 14, the right-shift inverting unit 15, the left-upper-shift inverting unit 17, the left-lower-shift inverting unit 18, the right-upper-shift inverting unit 19 and the right-lower-shift inverting unit 20. Then, the image data thereof are synthesized, and a half-tone image with gradations containing half-tonesas shown in FIG. 20 is formed. More specifically, the half-tone image in FIG. 20 is formed by subtracting the pixel values "0" or "1" of the inverted upper-shifted image, the inverted lower-shifted image, the inverted right-shifted image, the inverted left-shifted image, the inverted left-upper-shifted image, the inverted left-lower-shifted image, the inverted right-upper-shifted image and the inverted right-lower-shifted image, from the pixel values "9" with respect to the pixels having the pixel values "9" excluding the pixel values "0" of the weighted multivalued image. The thus formed half-tone image is provided with gradations, e.g., density gradations corresponding to the pixel values and then outputted by the image outputting device 2. FIG. 21 shows one example of output, wherein, for example, the pixels having the pixel values "8" are expressed in 100% black, the pixels having the pixel values "7" are in 80% black, the pixels having the pixel values "6" are in 64% black, the pixels having the pixel values "5" are in 48% black, the pixels having the pixel values "4" are in 32% black, the pixels having the pixel values "3" are in 16% black, and the pixels having the pixel values "0" are in 0% black (i.e., white). With this arrangement, jagged portions of outline of the primary binary image are expressed with multi-gradations, thereby further smoothing the whole outline in terms of the visual aspect. This makes it feasible to provide an easy-to-see display or print with a high visual recognizability. Embodiment 4 FIG. 22 illustrates a construction of the image half-tone processor in a fourth embodiment of the present invention. The image half-tone processor shown in FIG. 22 is constructed of an enlarged image forming unit 101, a half-tone processing unit 102, a reduction processing unit 103 and an image outputting device 104. The enlarged image forming unit 101 outputs an enlarged binary image that is (x X y) times, e.g., (2 X 2) times as large as a desired output size. This enlarged binary image is defined as an image of a character font, etc., and the enlarged image forming unit 101 forms, as in the case of a font generator of a so-called outline font, such an image that a pixel resolution, viz., the dot density does not decrease due to the enlargement. The half-tone processing unit 102 gradates the above enlarged binary image substantially in the same manner as the half-tone processing unit 1 shown in FIG. 2, thus obtaining a half-tone image. The reduction processing unit 103 reduces the half-tone image gradated by the half-tone processing unit 102 by a factor of (1/x) X (1/y), in this case, (1/2) X (1/2) corresponding to a factor of enlargement of the enlarged image forming unit 101, thus forming a reduced half-tone image. The image outputting device 104 is classified as a display or a printer for outputting the reduced half-tone image formed by the reduction processing unit 103 while giving it a multi-gradation expression, and is an LCD for example. FIG. 23 shows details of functional construction of the half-tone processing unit 102. The half-tone processing unit 102 in FIG. 22 includes a pixel converting unit 41, an upper-shift inverting unit 42, a lower-shift inverting unit 43, a right-shift inverting unit 44, a left-shift inverting unit 45 and a gradation processing unit 46. The pixel converting unit 11 weights each of pixels constituting the above enlarged binary image formed by the enlarged image forming unit 101. A specific weighting process by this pixel converting unit 41 is that, for example, with a white pixel set to "0" and a black pixel set to "1", "0" is, as it is, allocated to the white pixel, while the black pixel is allocated with a value of "5" in this case, which is larger than "1", with respect to the enlarged binary image consisting of those binary numbers, i.e., "0" and "1". The upper-shift inverting unit 42 black-and-white-inverts the enlarged binary image and shifts it upward by one pixel, i.e., by one dot on the pixel coordinates. That is, the upper-shift inverting unit 42 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given enlarged binary image, shifts this inverted binary image upward by one dot, and further forms a binary image wherein the lowermost single row is filled with "I". The lower-shift inverting unit 43 black-and-white-inverts the enlarged binary image and shifts it downward by one pixel, i.e., by one dot on the pixel coordinates. That is, the lower-shift inverting unit 43 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given enlarged binary image, shifts this inverted binary image downward by one dot, and further forms a binary image wherein the uppermost single row is filled with "1". The right-shift inverting unit 44 black-and-white-inverts the enlarged binary image and shifts it rightward by one pixel, i.e., by one dot on the pixel coordinates. That is, the right-shift inverting unit 44 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given enlarged binary image, shifts the inverted binary image rightward by one dot, and further forms a binary image wherein the leftmost column is filled with "1". The left-shift inverting unit 45 black-and-white-inverts the enlarged binary image and shifts it leftward by one pixel, i.e., by one dot on the pixel coordinates. That is, the left-shift inverting unit 45 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given enlarged binary image, shifts this inverted binary image leftward by one dot, and further forms a binary image wherein the rightmost column is filled with "1". The gradation processing unit 46 forms a half-tone image based on a multivalued image obtained by the pixel converting unit 41, and four binary images obtained respectively by the upper-shift inverting unit 42, the lower-shift inverting unit 43, the right-shift inverting unit 44 and the left-shift inverting unit 45. That is, the gradation processing unit 46 executes a subtracting process on the pixel basis between the multivalued image obtained by the pixel converting unit 41 and the four binary images obtained respectively by the upper-shift inverting unit 42, the lower-shift inverting unit 43, the right-shift inverting unit 44 and the left-shift inverting unit 45, and thereby obtains the half-tone image by additionally synthesizing these images. More specifically, the gradation processing unit 46 subtracts "1" from the weighted pixels described above, when the pixels of the thus inverted/shifted binary image which pixels are disposed in corresponding coordinate positions, are "1" with respect to the weighted pixels having the pixel values "5" in the coordinate positions where the multivalued image exists. At this time, no subtracting process is effected on the pixels "0" of the multivalued image. This subtracting process is repeated with respect to each of the four inverted/shifted binary images. For instance, if all the pixel values of the four binary images in the coordinate positions corresponding to the pixel values "5" of the above multivalued image, are "1", the pixel value of the relevant pixel as a result (5 - 1 - 1 - 1 - 1 = 1) of executing all the subtractions, becomes "1". The half-tone image is a result of all the four inverted/shifted binary images being subtracted per pixel by the gradation processing unit 46. The above-described half-tone image formed by the half-tone processing unit 102 is a half-tone image corresponding to the enlarged binary image, and therefore reduced by the reduction processing unit 103 shown in FIG. 22 into a reduced half-tone image in accordance with a desired output size. This reduced half-tone image is outputted by the image outputting device 104. The processing operation of the half-tone processing unit 102 in this case is substantially the same as that by the half-tone processing unit 1 in FIG. 1. Given to the half-tone processing unit 102 is the binary image as a (2 X 2)-fold enlarged binary image consisting of the white and black pixels as illustrated in FIG. 3. The enlarged binary image is expressed in such a way that, for example, the white pixel has the pixel value "O", while the black pixel has the pixel value "1". The pixel converting unit 41 converts the enlarged binary image in FIG. 3 into a weighted multivalued image as shown in FIG. 4 by setting the pixel value of the white pixel to "0" as it is and by weighting the pixel value of the black pixel having the pixel value "1", with "5" The upper-shift inverting unit 42 black-and-white-inverts the above enlarged binary image in FIG. 3 by exchanging the pixel values "0" and the pixel values "1" with each other, and shifts the entire image upward by one pixel, i.e., by one dot, whereby the binary image is converted into an inverted upper-shifted image as shown in FIG. 5. At this time, the lowermost single row is filled with "1". The lower-shift inverting unit 43 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image downward by one pixel, i.e., by one dot, whereby the binary image is converted into an inverted lower-shifted image as shown in FIG. 6. At this time, the uppermost single row is filled with "1". The right-shift inverting unit 44 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image rightward by one pixel, i.e., by one dot, whereby the binary image is converted into an inverted right-shifted image as shown in FIG. 7. At this time, the leftmost column row is filled with "1". Similarly, the left-shift inverting unit 45 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image leftward by one pixel, i.e., by one dot, whereby the binary image is converted into an inverted left-shifted image as shown in FIG. 8. At this time, the rightmost column row is filled with "1". Subtracted from the weighted multivalued image formed by the pixel converting unit 41 that is shown in FIG. 4 are the inverted upper-shifted image (FIG. 5), the inverted lower-shifted image (FIG. 6), the inverted right-shifted image (FIG. 7), and the inverted left-shifted image (FIG. 8) that are composed of the binary images formed respectively by the upper-shift inverting unit 42, the lower-shift inverting unit 43, the right-shift inverting unit 44 and the left-shift inverting unit 45. Then, the image data thereof are synthesized, and a half-tone image with gradations containing a half-tone as shown in FIG. 9 is formed. More specifically, the half-tone image in FIG. 9 is formed by subtracting the pixel values "0" or "1" of the inverted upper-shifted image, the inverted lower-shifted image, the inverted right-shifted image and the inverted left-shifted image, from the pixel values "5" with respect to the pixels having the pixel values "5" excluding the portions of the pixel values "0" of the weighted multivalued image. The thus formed half-tone image is given to the reduction processing unit 103 shown in FIG. 22 and reduced by a factor of (1/2) X (1/2), thereby obtaining the reduced half-tone image as illustrated in FIG. 24. The reduction processing unit 103 performs the reduction by the factor of (1/2) X (1/2) by taking an average value for every (2 X 2) dots with respect to the previous half-tone image illustrated in FIG. 9 and setting it as a pixel value. This reduced half-tone image is provided with gradations, e.g., density gradations corresponding to the pixel values and then outputted by the image outputting device 104. FIG. 25 shows one example of outputting, wherein, for example, the pixels having the pixel values "4" are expressed in 100% black, the pixels having the pixel values "3" are in 75% black, the pixels having the pixel values "2" are in 50% black, the pixels having the pixel values "1" are in 25% black, and the pixels having the pixel values "0" are in 0% black (i.e., white). With this arrangement also, the whole outline thereof is smoothed at a high accuracy in terms of a visual aspect, and this makes it feasible to provide an easy-to-see display or print with a high visual recognizability. Embodiment 5 In the above-mentioned gradation processing unit 102 shown in FIG. 23, the half-tone image is formed by shifting the inverted image of the enlarged binary image upward, downward, leftward and rightward and effecting the subtraction from the weighted multivalued image. The half-tone image may also be, however, formed by subtracting the inverted image shifted in the four oblique left-upper-, left-lower-, right-upper- and right-lower-directions instead of the upper-, lower-, left- and right-directions. This is a fifth embodiment of the present invention. FIG. 26 illustrates a functional construction of the half-tone processing unit defined as the principal unit of the image half-tone processor in accordance with the fifth embodiment of the present invention. A half-tone processing unit 102A in FIG. 29 includes the pixel converting unit 41 and the gradation processing unit 46 that incorporate the same functions as those in FIG. 23, and, in addition thereto, a left-upper-shift inverting unit 47, a left-lower-shift inverting unit 48, a right-upper-shift inverting unit 49 and a light-downward-shift inverting unit 50. The pixel converting unit 41, as already stated, weights each of the pixels constituting the enlarged binary image. A specific weighting process by this pixel converting unit 41 is that, for instance, "0" is, as it is, allocated to the white pixel, while the black pixel is allocated with a value of "5", which is larger than "1", with respect to the binary image consisting of the white pixels set to "0" and the black pixels set to "1". The left-upper-shift inverting unit 47 black-and-white-inverts the enlarged binary image and shifts it leftward upward by one pixel, i.e., by one dot on the pixel coordinates. That is, the left-upper-shift inverting unit 47 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given enlarged binary image, shifts this inverted binary image leftward by one dot and upward by one dot, and further forms a binary image wherein each of the rightmost and lowermost rows is filled with "1". The left-lower-shift inverting unit 48 black-and-white-inverts the enlarged binary image and shifts it leftward downward by one pixel, i.e., by one dot on the pixel coordinates. That is, the left-lower-shift inverting unit 48 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given enlarged binary image, shifts this inverted binary image leftward by one dot and downward by one dot, and further forms a binary image wherein each of the rightmost and uppermost rows is filled with "1". The right-upper-shift inverting unit 49 black-and-white-inverts the enlarged binary image and shifts it rightward upward by one pixel, i.e., by one dot on the pixel coordinates. That is, the right-upper-shift inverting unit 49 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given enlarged binary image, shifts the inverted binary image rightward by one dot and upward by one dot, and further forms a binary image wherein each of the leftmost and lowermost rows is filled with "1". The right-lower-shift inverting unit 50 black-and-white-inverts the enlarged binary image and shifts it rightward downward by one pixel, i.e., by one dot on the pixel coordinates. That is, the right-lower-shift inverting unit 50 forms an inverted binary image with the exchange of the white pixel "0" and the black pixel "1" of the given enlarged binary image, shifts this inverted binary image rightward by one dot and downward by one dot, and further forms a binary image wherein the leftmost and uppermost rows is filled with "1". The gradation processing unit 46 forms a half-tone image based on a multivalued image obtained by the pixel converting unit 41, and four binary images obtained respectively by, in this case, the left-upper-shift inverting unit 47, the left-lower-shift inverting unit 48, the right-upper-shift inverting unit 49 and the right-lower-shift inverting unit 50. The gradation processing unit 16 executes a subtracting process on the pixel basis between the multivalued image obtained by the pixel converting unit 41 and the four binary images obtained respectively by the left-upper-shift inverting unit 47, the left-lower-shift inverting unit 48, the right-upper-shift inverting unit 49 and the right-lower-shift inverting unit 50, and thereby obtains the half-tone image by additionally synthesizing these images. More specifically, the gradation processing unit 46 subtracts "1" from the weighted pixels described above, when the pixels of the thus inverted/shifted binary image which pixels are disposed in corresponding coordinate positions, are "1" with respect to the weighted pixels having the pixel values "5" in the coordinate positions where the multivalued image exists. At this time, no subtracting process is effected on the pixels "0" of the multivalued image. This subtracting process is repeated with respect to each of the four inverted/shifted binary images. The half-tone image is a result of all the four inverted/shifted binary images being subtracted per pixel by the gradation processing unit 46. The image half-tone processor using the thus operated half-tone processing 102A is, as in the same way in FIG. 22, constructed. In this case, the half-tone processing unit 102 is replaced with the half-tone processing unit 102A. The half-tone image formed by the half-tone processing unit 102A is a half-tone image corresponding to the enlarged binary image, and therefore reduced by the reduction processing unit 103 shown in FIG. 22 into a reduced half-tone image in accordance with a desired output size. This reduced half-tone image is outputted by the image outputting device 104. The processing operation of the half-tone processing unit 102A in this case is substantially the same as that by the half-tone processing unit 102 in FIG. 23. Given to the half-tone processing unit 102A is the binary image as a (2 X 2)-fold enlarged binary image consisting of the white and black pixels as illustrated in FIG. 3. The enlarged binary image is expressed in such a way that, for example, the white pixel has the pixel value "0", while the black pixel has the pixel value "1". The pixel converting unit 41 converts the enlarged binary image in FIG. 3 into a weighted multivalued image as shown in FIG. 4 by setting the pixel value of the white pixel to "0" as it is and by weighting the pixel value of the black pixel having the pixel value "1", with "5" Further, the left-upper-shift inverting unit 47 black-and-white-inverts the above enlarged binary image in FIG. 3 by exchanging the pixel values "0" and the pixel values "1" with each other, and shifts the entire image leftward by one dot and upward by one dot, whereby the binary image is converted into an inverted left-upper-shifted image as shown in FIG. 12. At this time, each of the rightmost and lowermost rows is filled with "1". The left-lower-shift inverting unit 48 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image leftward by one dot and downward by one dot in the Figure, whereby the binary image is converted into an inverted left-lower-shifted image as shown in FIG. 13. At this time, each of the rightmost and uppermost rows is filled with "1". The right-upper-shift inverting unit 49 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image rightward by one dot and upward by one dot in the Figure, whereby the binary image is converted into an inverted right-upper-shifted image as shown in FIG. 14. At this time, each of the leftmost and lowermost rows is filled with "1". Similarly, the right-lower-shift inverting unit 50 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image rightward by one dot and downward by one dot in the Figure, whereby the binary image is converted into an inverted right-lower-shifted image as shown in FIG. 15. At this time, each of the leftmost and uppermost rows is filled with "1". Subtracted from the weighted multivalued image formed by the pixel converting unit 11 that is shown in FIG. 4 are the inverted left-upper-shifted image (FIG. 12), the inverted left-lower-shifted image (FIG. 13), the inverted right-upper-shifted image (FIG. 14), and the inverted right-lower-shifted image (FIG. 15) that are composed of the binary images formed respectively by the left-upper-shift inverting unit 47, the left-lower-shift inverting unit 48, the right-upper-shift inverting unit 49 and the right-lower-shift inverting unit 50. Then, the image data thereof are synthesized, and a half-tone image with gradations containing half-tonesas shown in FIG. 16 is formed. More specifically, the half-tone image in FIG. 16 is formed by subtracting the pixel values "0" or "1" of the inverted left-upper-shifted image, the inverted left-lower-shifted image, the inverted right-upper-shifted image and the inverted right-lower-shifted image, from the pixel values "5" with respect to the pixels having the pixel values "5" excluding the portions of the pixel values "0" of the weighted multivalued image. The thus formed half-tone image is supplied to the reduction processing unit 103 shown in FIG. 22 and then reduced by a factor of (1/2) X (1/2), thereby obtaining the reduced half-tone image as illustrated in FIG. 27. This reduced half-tone image is provided with gradations, i.e., density gradations corresponding to the pixel values and then outputted by the image outputting device 104. FIG. 28 shows one example of outputting, wherein, for example, the pixels having the pixel values "4" are expressed in 100% black, the pixels having the pixel values "3" are in 75% black, the pixels having the pixel values "2" are in 50% black, the pixels having the pixel values "1" are in 25% black, and the pixels having the pixel values "0" are in 0% black (i.e., white). Embodiment 6 In the above-mentioned gradation processing unit 102 shown in FIG. 23, the half-tone image is formed by shifting the inverted image of the enlarged binary image upward, downward, leftward and rightward and effecting the subtraction from the weighted multivalued image. In the gradation processing unit 102A in FIG. 26, the half-tone image is formed by performing the subtraction from the weighted multivalued image by shifting the inverted image of the enlarged binary image left upward, left downward, right upward and right downward. The half-tone image may also be, however, formed by subtracting the inverted image shifted in totally eight directions containing the oblique left-upper-, left-lower-, right-upper- and right-lower-directions plus the upper-, lower-, left- and right-directions. This is a sixth embodiment of the present invention. FIG. 29 illustrates a functional construction of the half-tone processing unit defined as the principal unit of the image half-tone processor in accordance with the sixth embodiment of the present invention. A half-tone processing unit 102B in FIG. 29 includes a pixel converting unit 51 and a gradation processing unit 52 in addition to the upper-shift inverting unit 42, the lower-shift inverting unit 43, the right-shift inverting unit 44, the left-shift inverting unit 45, the left-upper-shift inverting unit 47, the left-lower-shift inverting unit 48, the right-upper-shift inverting unit 49 and the light-downward-shift inverting unit 50, which incorporate the same functions as those shown in FIGS. 23 and 26 . The pixel converting unit 51 weights each of the pixels constituting the enlarged binary image. A specific weighting process by this pixel converting unit 51 is that, for instance, "0" is, as it is, allocated to each white pixel, while a black pixel is allocated a value of "9", which is larger than "1", with respect to the binary image consisting of the white pixels set to "0" and the black pixels set to "1". The upper-shift inverting unit 42, the lower-shift inverting unit 43, the left-shift inverting unit 44, the right-shift inverting unit 45, the left-upper-shift inverting unit 47, the left-lower-shift inverting unit 48, the right-upper-shift inverting unit 49 and the right-lower-shift inverting unit 50 black-and-white-invert the enlarged binary image and shift it upward, downward, leftward, rightward, left upward, left downward, right upward, and right downward by one dot on the pixel coordinates, and space areas produced due to shifting are filled with "1", thereby generating the binary image. The gradation processing unit 52 forms a half-tone image on the basis of the multivalued image obtained by the pixel converting unit 51, and eight binary images obtained respectively by, in this case, the upper-shift inverting unit 42, the lower-shift inverting unit 43, the left-shift inverting unit 44, the right-shift inverting unit 45, the left-upper-shift inverting unit 47, the left-lower-shift inverting unit 48, the right-upper-shift inverting unit 49 and the right-lower-shift inverting unit 50. The gradation processing unit 52 executes a subtracting process on a pixel basis between the multivalued image obtained by the pixel converting unit 51 and the eight binary images obtained respectively by the upper-shift inverting unit 42, the lower-shift inverting unit 43, the right-shift inverting unit 44, the left-shift inverting unit 45, the left-upper-shift inverting unit 47, the left-lower-shift inverting unit 48, the right-upper-shift inverting unit 49 and the right-lower-shift inverting unit 50, and thereby obtains a half-tone image by additionally synthesizing these images. More specifically, the gradation processing unit 52 subtracts "1" from the weighted pixels described above, when the pixels of the thus inverted/shifted binary image which pixels are disposed in corresponding coordinate positions, are "1" with respect to the weighted pixels having the pixel values "9" in the coordinate positions where the multivalued image exists. At this time, no subtracting process is effected on the pixels "0" of the multivalued image. This subtracting process is repeated with respect to each of the eight inverted/shifted binary images. The half-tone image is a result of all the eight inverted/shifted binary images being subtracted per pixel by the gradation processing unit 52. The image half-tone processor using the thus operated half-tone processing 102B is constructed in the same way as illustrated in FIG. 22. In this case, the half-tone processing unit 102B substitutes for the half-tone processing unit 102. The half-tone image formed by the half-tone processing unit 102B is a half-tone image corresponding to the enlarged binary image described above, and therefore reduced corresponding to a desired output size into a reduced half-tone image by the reduction processing unit illustrated in FIG. 22. This reduced half-tone image is outputted by the image outputting device 104. Next, the processing operation of the image half-tone processing unit 102B illustrated in FIG.29 will be specifically explained. Given to the half-tone processing unit 102B is the binary image as a (2 X 2)-fold enlarged binary image consisting of the white and black pixels as illustrated in FIG. 3. The enlarged binary image is expressed in such a way that, for example, the white pixel has the pixel value "0", while the black pixel has the pixel value "1". The pixel converting unit 51 converts the enlarged binary image in FIG. 3 into a weighted multivalued image as shown in FIG. 19 by setting the pixel value of the white pixel to "0" as it is and by weighting the pixel value of the black pixel having the pixel value "1", with "9". The upper-shift inverting unit 42 exchanges the pixel values "0" and the pixel values "1" with each other, and shifts the entire image upward by one pixel, i.e., by one dot, whereby the binary image is converted into an inverted upper-shifted image as shown in FIG. 5. At this time, the lowermost single row is filled with "1". The lower-shift inverting unit 43 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image downward by one pixel, i.e., by one dot, whereby the binary image is converted into an inverted lower-shifted image as shown in FIG. 6. At this time, the uppermost single row is filled with "1". The right-shift inverting unit 44 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image rightward by one pixel, i.e., by one dot, whereby the binary image is converted into an inverted right-shifted image as shown in FIG. 7. At this time, the leftmost column is filled with "1". The left-shift inverting unit 45 exchanges the pixel values "O" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image leftward by one pixel, i.e., by one dot, whereby the binary image is converted into an inverted left-shifted image as shown in FIG. 8. At this time, the right most column is filled with "1". The left-upper-shift inverting unit 47 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image leftward by one dot and upward by one dot in the Figure, whereby the binary image is converted into an inverted left-upper-shifted image as shown in FIG. 12. At this time, each of the right most and lowermost rows is filled with "1". The left-lower-shift inverting unit 48 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image leftward by one dot and downward by one dot in the Figure, whereby the binary image is converted into an inverted left-lower-shifted image as shown in FIG. 13. At this time, each of the rightmost and uppermost rows is filled with "1". The right-upper-shift inverting unit 49 exchanges the pixel values "0" and the pixel values "1"with each other, of the enlarged binary image in FIG. 3, and shifts the entire image rightward by one dot and upward by one dot in the Figure, whereby the binary image is converted into an inverted right-upper-shifted image as shown in FIG. 14. At this time, each of the leftmost and lowermost rows is filled with "1". Similarly, the right-lower-shift inverting unit 50 exchanges the pixel values "0" and the pixel values "1" with each other, of the enlarged binary image in FIG. 3, and shifts the entire image rightward by one dot and downward by one dot in the Figure, whereby the binary image is converted into an inverted right-lower-shifted image as shown in FIG. 15. At this time, each of the left most and uppermost rows is filled with "1". Subtracted from the weighted multivalued image formed by the pixel converting unit 51 that is shown in FIG. 19 are the inverted upper-shifted image (FIG. 5), the inverted lower-shifted image (FIG. 6), the inverted right-shifted image (FIG. 7), the inverted left-shifted image (FIG. 8), the inverted left-upper-shifted image (FIG. 12), the inverted left-lower-shifted image (FIG. 13), the inverted right-upper-shifted image (FIG. 14), and the inverted right-lower-shifted image (FIG. 15) that are composed of the binary images formed respectively by the upper-shift inverting unit 42, the lower-shift inverting unit 43, the left-shift inverting unit 44, the right-shift inverting unit 45, the left-upper-shift inverting unit 47, the left-lower-shift inverting unit 48, the right-upper-shift inverting unit 49 and the right-lower-shift inverting unit 50. Then, the image data thereof are synthesized, and a half-tone image with gradations containing half-tones as shown in FIG. 20 is formed. More specifically, the half-tone image in FIG. 20 is formed by subtracting the pixel values "0" or "1" of the inverted upper-shifted image, the inverted lower-shifted image, the inverted right-shifted image, the inverted left-shifted image, the inverted left-upper-shifted image, the inverted left-lower-shifted image, the inverted right-upper-shifted image and the inverted right-lower-shifted image, from the pixel values "9" with respect to the pixels having the pixel values "9" excluding the portions of the pixel values "0" of the weighted multivalued image. The thus formed half-tone image is supplied to the reduction processing unit 103 shown in FIG. 22 and then reduced by a factor of (1/2) X (1/2), thereby obtaining a reduced half-tone image as shown in FIG. 30. This reduced half-tone image is provided with gradations, e.g., density gradations corresponding to the pixel values and then outputted by the image outputting device 104. FIG. 31 shows one example of output, wherein, for example, the pixels having the pixel values "7" are expressed in 100% black, the pixels having the pixel values "5" are in 80% black, the pixels having the pixel values "4" are in 60% black, the pixels having the pixel values "3" are in 50% black, the pixels having the pixel values "2" are in 40% black, the pixels having the pixel values "1" are in 20% black, and the pixels having the pixel values "0" are in 0% black (i.e., white). Incidentally, FIG. 32 illustrates an example of outputting a kanji character "ai" and a letter "A" in accordance with the ninth embodiment. FIG. 33 shows the same kanji character and letter as those in FIG. 32, which are outputted as they are without being processed according to the present invention. FIG. 34 shows enlarged images of those in FIG. 32 for a comparison therebetween. FIG. 35 shows enlarged images of those in FIG. 33. It will be apparent that the images in FIGS. 32 and 34 are less ragged in outline than in FIGS. 33 and 35. The present invention is applicable to industrial appliances equipped with computer systems and display devices using displays for displaying characters, etc., entertainment appliances for video games, etc., and portable information appliances including small-sized display units.

Claims: An image half-tone processor (1, 1A, 1B, 102, 102A, 102B) comprising: pixel converting means (11, 21, 41, 51) for weighting each of pixels of a primary image, and converting the primary image into a multivalued image consisting of weighted pixel values; gradation processing means (16, 22, 46, 52) for forming a half-tone image; and image outputting means (2, 104) for outputting the half-tone image formed by said gradation processing means; characterised in that : said primary image is a binary image; shift inversion processing means (12-15; 17-20; 42-45; 47-50) are provided for forming respectively a plurality of shift-inverted images into which the primary binary image is inverted and shifted in a plurality of peripheral directions corresponding to a pixel array of the primary binary image; and in that said gradation processing means forms the half-tone image by subtracting the pixel values of the plurality of shift-inverted images obtained by said shift inversion processing means from the pixel value of the multivalued image obtained by said pixel converting means. An image half-tone processor according to claim 1, wherein said shift inversion processing means (12-15; 42-45) forms respectively four shift-inverted images into which the primary binary image is inverted and shifted in upper-, lower-, left- and right-directions. An image half-tone processor according to claim 1, wherein said shift inversion processing means (17-20; 47-50) forms respectively four shift-inverted images into which the primary binary image is inverted and shifted in left-upper-, left-lower-, right-upper-and right-lower-directions. An image half-tone processor according to claim 1, wherein said shift inversion processing means (12-15; 17-20; 42-45; 47-50) forms respectively eight shift-inverted images into which the primary binary image is inverted and shifted in upper-, lower-, left-, right-, left-upper-, left-lower-, right-upper- and right-lower-directions. An image half-tone processor according to any one of claims 2 to 4, wherein said gradation processing means (16, 22, 46, 52) additionally synthesizes the multivalued image obtained by said pixel converting means and the plurality of shift-inverted images obtained by said shift inversion processing means per pixel corresponding to the multivalued image. An image half-tone processor according to any preceding claim, further comprising: enlarged image forming means (101) for forming a primary binary image having a size that is (x X y) times as large as a desired output size; and reduction processing means (103) for reducing the half-tone image formed by said gradation processing means down to a size by a factor of (1/x) X (1/y); wherein said image outputting means (104) outputs the half-tone image formed by said reduction processing means. An image half-tone processor according to any one of claims 1 to 6, wherein the primary binary image is a character font image. An image half-tone processing method comprising: a pixel converting step of weighting each of pixels of a primary image, and converting the primary image into a multivalued image consisting of weighted pixel values; characterised by : in said pixel converting step, said primary image being a binary image; and by the further steps of: a shift inversion processing step of forming respectively a plurality of shift-inverted images into which the primary binary image is inverted and shifted in a plurality of peripheral directions corresponding to a pixel array of the primary binary image; a gradation processing step of forming a half-tone image by subtracting the pixel values of the plurality of shift-inverted images obtained by said shift inversion processing step from the pixel value of the multivalued image obtained by said pixel converting step; and an image outputting step of outputting the half-tone image formed by said gradation processing step. A recording medium storing a program for causing a computer to implement: a pixel converting step of weighting each of pixels of a primary binary image, and converting the primary binary image into a multivalued image consisting of weighted pixel values; a shift inversion processing step of forming respectively a plurality of shift-inverted images into which the primary binary image is inverted and shifted in a plurality of peripheral directions corresponding to a pixel array of the primary binary image; a gradation processing step of forming a half-tone image by subtracting the pixel values of the plurality of shift-inverted images obtained by said shift inversion processing step from the pixel value of the multivalued image obtained by said pixel converting step; and an image outputting step of outputting the half-tone image formed by said gradation processing step.

Inventors: SHIMAMURA KAORU, SHIMAMURA, KAORU, SHIMAMURA, Kaoru Fujitsu Limited
Applicants: FUJITSU LTD, FUJITSU LIMITED
Application year: 1996
Main classification: G06T3
IPC codes: G09G5, G06T5