Patent Publication Number: US-11652973-B2

Title: 3D system

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application is a continuation of U.S. patent application Ser. No. 16/924,348, filed Jul. 9, 2020, which is a continuation of U.S. patent application Ser. No. 16/360,947, filed Mar. 21, 2019, now U.S. Pat. No. 10,721,452, issued Jul. 21, 2020, which is a continuation of U.S. patent application Ser. No. 15/293,527, filed Oct. 14, 2016, now U.S. Pat. No. 10,277,880, issued Apr. 30, 2019, which claims the benefit of U.S. Provisional Patent Application No. 62/255,199, filed Nov. 13, 2015. 
    
    
     BACKGROUND OF THE INVENTION 
     Two dimensional video content, such as obtained with a video camera having a single aperture, is often either projected onto a display screen for viewing or viewed on a display designed for presenting two dimensional content. Over time, the resolution of displays has tended to increase, from standard television interlaced content resolution (e.g., 480i), to high definition television content (e.g., 1080i), to 4K definition television content (4K UHD), and even to even higher definition television content (e.g., 8K UHD). Such increases in video resolution technology only provide for limited increases in the apparent image entertainment to the viewer. Accordingly, the viewer is only immersed in the video experience to a limited extent. 
     To increase the immersive experience of the viewer it is desirable to effectively convert two dimensional image content into three dimensional (3D) image content, including glasses-free and glasses-based three dimensional content, which is thereafter displayed on a suitable display for viewing three dimensional image content. The perception of three dimensional content may involve a third dimension of depth, which may be perceived in a form of binocular disparity by the human visual system. Since the left and the right eyes of the viewer are at different positions, each eye perceives a slightly different view of a field of view. The human brain may then reconstruct the depth information from these different views to perceive a three dimensional view. To emulate this phenomenon, a three dimensional display may display two or more slightly different images of each scene in a manner that presents each of the views to a different eye of the viewer. A variety of different display technologies may be used, such as for example, anaglyph three dimensional system, passive-polarized three dimensional display system, active-shutter three dimensional display system, autostereoscopic lenticular glasses-free 3D display system, autostereoscopic parallax-barrier glasses-free 3D display system, and head mounted stereoscopic display system. 
     As three dimensional display systems become more readily prevalent the desire for suitable three dimensional content to present on such displays increases. One way to generate three dimensional content is using three dimensional computer generated graphics. While such content is suitable for being displayed, the amount of desirable such three dimensional computer generated content is limited and typically used for animated content. Another way to generate there dimensional content is using three dimensional video camera systems. Likewise, while such video camera content is suitable for being displayed, the amount of desirable such three dimensional content is likewise limited. A preferable technique to generate three dimensional content is using the vast amounts of available two dimensional content and converting the two dimensional content into three dimensional content. While such conversion of two dimensional content (2D) to three dimensional content (3D) conversation is desirable, the techniques are conventionally complicated and labor intensive. 
     The foregoing and other objectives, features, and advantages of the invention may be more readily understood upon consideration of the following detailed description of the invention, taken in conjunction with the accompanying drawings. 
    
    
     
       BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS 
         FIG.  1    illustrates an exemplary two dimension to three dimension image conversion process. 
         FIG.  2    illustrates an exemplary 2D to 3D image conversion system. 
         FIG.  3    illustrates an exemplary neural network. 
         FIG.  4    illustrates inputs to the neural network. 
         FIG.  5    illustrates a selection of image based inputs to the neural network and the outputs thereof. 
         FIG.  6    illustrates a selection of bit depths associated with a three dimensional image. 
         FIG.  7    illustrates selection of pixels of an image shifted different distances to provide right eye versus left eye displacements derived from estimated depth to create the perception of apparent three dimensional image depths. 
         FIG.  8    illustrates a screen place and a depth space “D”. 
         FIG.  9    illustrates a screen plane, a shift “Z”, a total shifted depth, and a resulting shifted depth. 
         FIG.  10    illustrates a corresponding left eye displacement view and a right eye displacement view at a first depth plane shifted to a second bit depth in front of the screen plane. 
         FIG.  11    illustrates a left eye displacement and a right eye displacement at a first depth plane shifted to a second bit depth in front of the screen plane using a non-linear mapping. 
         FIG.  12    illustrates a left eye and a right eye at a first depth plane shifted to a second pixel depth in front of the screen plane using a plurality of non-linear mappings. 
         FIG.  13    illustrates a depth engine, a depth reprofiling modification mapping, and a rendering engine. 
         FIG.  14    illustrates a video stream processing technique. 
         FIG.  15    illustrates a left-eye image queue and a right-eye image queue. 
         FIG.  16    illustrates a left image queue and a right image queue receiving a sequence of displaced pixel values. 
         FIG.  17    illustrates a display with pixels and/or sub-pixels and an optical lens element for supporting lenticular glasses-free 3D autostereoscopic multi-view. 
         FIG.  18    illustrates a lenticular type imaging arrangement. 
         FIG.  19    illustrates a lenticular type sub-pixels under the slanted lenticular lens imaging arrangement. 
         FIG.  20    illustrates an alternate model for computing pixel displacement with examples of a pixel depth behind the screen and a pixel depth in front of the screen. 
         FIG.  21    illustrates a display with a representation of the spacing for the viewer&#39;s eyes. 
         FIG.  22    illustrates a display with a representation of the spacing for the viewer&#39;s eyes at a further distance from the display than illustrated in  FIG.  21   . 
         FIG.  23    illustrates a rendering of a three dimensional image with non-uniform shifting. 
         FIGS.  24 A-B  illustrates the angular differences of presenting images as a result of the viewer shifting. 
         FIG.  25    illustrates a display with a curved front surface. 
         FIG.  26    illustrates rendering a two dimensional image for advertising. 
         FIG.  27    illustrates a system that includes a lens model. 
         FIG.  28    illustrates a modification of a depth map. 
     
    
    
     DETAILED DESCRIPTION OF PREFERRED EMBODIMENT 
     One technique to achieve two dimensional (2D) to three dimensional (3D) conversion is using a modified time difference technique. The modified time difference technique converts 2D images to 3D images by selecting images that would be a stereo-pair according to the detected motions of objects in the input sequential images. This technique may, if desired, be based upon motion vector information available in the video or otherwise determined. 
     Another technique to achieve two dimensional (2D) to three dimensional (3D) conversion is using a computed image depth technique. The 3D images are generated based upon the characteristics of each 2D image. The characteristics of the image that may be used, include, but are not limited to for example, the contrast of different regions of the image, the sharpness of different regions of the image, the chrominance of different regions of the image, and texture of different regions of the image. Alternatively, the hue, the saturation, the brightness, and the texture may be used. The sharpness, contrast, and chrominance values of each area of the input image may be determined. The sharpness relates to the high frequency content of the luminance signal of the input image. The contrast relates to a medium frequency content of the luminance signal of the input image. The chrominance relates the hue and the tone content of the color signal of the input image. Adjacent areas that have close color may be grouped together according to their chrominance values. The image depth may be computed using these characteristics and/or other characteristics, as desired. For example, generally near positioned objects have higher sharpness and higher contrast than far positioned objects and the background image. Thus, the sharpness and contrast may be inversely proportional to the distance. These values may likewise be weighted based upon their spatial location within the image. Other techniques may likewise be used to achieve a 2D to 3D conversion of an input image, including motion compensation, if desired. Referring to  FIG.  1   , with a suitable depth map from the 2D to 3D conversion process, a 3D image generation process may be used to generate the 3D images based upon the image depth map. 
     Completely automatic 2D to 3D conversion processes typically result in sub-optimal three dimensional image for post-production content conversion. Post-production content conversion is typically very labor intensive with stereographers creating hand painted depth maps and selecting objects that move and rotoscoping to copy those edits to as many following frames as possible. 
     Referring to  FIG.  2   , the video content may be stored on a storage system  120 , available from a network  150 , or otherwise, and processed by the computing system  110 . The user may use a display  100  as a user interface  160  for selecting three dimensional control parameters for the video content. The control parameters may be used to modify the 2D to 3D conversion process. The computing system may provide the 2D video content and/or control parameters for the 2D to 3D conversion accelerator, as described in detail later. The 2D-3D conversion accelerator then processes the 2D video content, based at least in part on the control parameters provided (if any), to generate 3D video content. Preferably the 2D video is provided together with the control parameters from the computing system  110  to the conversion accelerators. For example, (1) the video content may be provided as a single video stream where the left and right images are contained in a single video stream, and/or (2) the video content may be provided as two separate video streams with a full video stream for the left eye&#39;s content and a full video stream for the right eye&#39;s content. The 3D video content, as a result of the conversion accelerator, is rendered on the three dimensional display  140  so that the user may observe the effects of the control parameters in combination with the 2D to 3D conversion accelerator. The user may modify the control parameters, such as by modifying selections on the user interface, for the video content until suitable 3D images are rendered on the three dimensional display  140 . The resulting three dimensional content from the 2D-3D conversion accelerator may be provided to the computing system  110 , which may be stored in a three dimensional video format (e.g., 3D side-by-side, 3D frame-pack, frame-sequential 3D, for subsequent rendering on a three dimensional display. The 2D-3D conversion accelerator is preferably an external converter to the computing system  110 . 
     While a user assisted conversion from 2D image content to 3D image content is feasible, it tends to be rather cumbersome to convert a substantial amount of such video content. Accordingly, it is desirable in a 3D entertainment device to include a fully automated 2D image content to 3D image content conversion system that provides a high quality output. Typically conversion systems are based upon combining visual analyzing and combining cues to create a depth map of the 2D image. The depth map contains a depth value for each pixel in the image or video frame. Rather than design increasingly more complicated 2D to 3D mathematical models of the 2D image content depth estimation, a different paradigm is being applied. In particular, the different paradigm should not be based upon attempting to determine a mathematical model and/or algorithmic based approach to analyze the 2D image content. A different paradigm preferably includes a neural network, which is an information processing paradigm that is inspired by the way biological nervous systems process information. In this way the neural network brain can be trained to create high quality image depth maps that are more extreme and approximate or mimic what a human could do. The training can result in conversions that are much more complex and sophisticated than a human team might be able to invent manually. The longer you train it the better it gets. Once trained, the neural-net brain with its weighted synapses of each modeled neuron and other learned parameters can be copied on to a hardware board or microchip and put into consumer or other market devices. These devices might just copy the neural-net, or they might also include on-board training processes such as genetic or back-propagation learning technology to continually improve themselves. 
     The result of the 2D to 3D conversion of images using the neural networks results in a depth estimation of each pixel in an image along with the 2D source image that are then processed using a 3D image render process. It is to be understood that any 3D display technology may be used, such as for example, stereo 3D display and multi-view auto stereoscopic display, or even holographic display. The system may process all of the input frames in order or a sub-set thereof. The rendered images may be suitable for glasses-based 3D or glasses-free 3D viewing technologies. The display may also be a projected display, if desired. 
     The result of the conventional 3D image rendering process tends to result in limited pop-out of the image content from the surface of the display particularly for glasses-free 3D displays due to limitations of the optics. This limits the compelling nature of the glasses-free display experience. Typically, if the 3D depth and pop-out is pushed to a more extreme level, artifacts (errors) in the 2D to 3D conversion process tend to become pronounced, so the 3D experience is limited in many displays. 
     Referring to  FIG.  3   , the neural network includes a number of interconnected computational elements working cooperatively to solve a problem. The neural network may be generally presented as a system of interconnected neurons which can compute values from inputs, and may be capable of learning using an adaptive technique, if desired. In general, the neural network may include the following characteristics. First, it may include sets of adaptive weights, e.g., numerical parameters that are tuned by a learning process. Second, the sets of adaptive weights may be capable of approximating a wide range of functions of their inputs. The adaptive weights, threshold activation functions may be conceptually considered the connection strengths/function computation on synapses between neurons. Traditionally, activation functions have been implemented with some sort of analog circuit due to their complexity. Preferably, a variety of synapse specific transfer function models may be implemented using a combined math-function and table-driven function. Preferably, synapse transfer function shapes can also be modified by neural training. Being able to modify the transfer function increases the sophistication of computation that can be performed at a synapse and thereby improves the intelligence of the neural net with less neurons. In general, the neural network, thresholds, and transfer functions perform many functions in collectively and in parallel by units. In addition, the neural network may optionally include back propagation, feed forward, recurrent, and genetic learning structures. The neural network technique can achieve a natural appearance for 3D structures similar to what a human might do manually because it can learn by comparing its results with human optimized examples. 
     Referring to  FIG.  4   , the first layer is the inputs to the neural network which may be the output from various pre-analyzers including color space conversion, resolution decimation, texture, edges, facial and object detection, etc. The pixel values may be converted to a different format, if desired. Each of the neuron synapses may have a various associated weights, thresholds, and transfer functions associated therewith. Each activation function may be updated and may be unique for each node or synapse. 
     Referring to  FIG.  5   , the preferable inputs to the neural network include information that may characterize the image. One of the inputs for an image, or regions of an image thereof, are the values of the pixels and the color components thereof. In many cases, the color components thereof are red, blue, green, and the associated magnitudes of the red, blue, green. Other techniques may be used to characterize an image, such as for example, red-blue-green-yellow, hue-saturation-brightness, or YCrCb. 
     While the hue, saturation, and/or brightness provide information regarding the color characteristics of the image, it is also desirable to include information related to the nature of the texture of the image. In general, texture characteristics quantify the perceived texture of an image. As such, texture characteristics provide information about the spatial arrangement of color and/or intensities in an image or a selected region of the image. Texture provides indications that an object in an image or frame might be closer. A texture may have its own 3D depth texture. 
     While the hue, saturation, and/or intensity, together with texture characteristics, provides information regarding the characteristics of the image, it is desirable to also have information regarding the edge characteristics of the image. In one manner, edges may be determined at point or lines or arches of an image at which the image brightness changes sufficiently sharply. The edge aspects of the image tend to indicate discontinuities in the depth of the image, discontinuities in the surface orientation, changes in material properties, and/or variations in scene illumination. 
     It may be desirable to include information related to the structure of items within the image. Such structure information may be obtained in a suitable manner, such as through segmentation based techniques. In general, the structural information may be generally related to the identification of items within the image. This structural information may be provided as an input to the neural network to further determine a more accurate depth map. 
     It may be desirable to identify facial images within the image. In addition, it may be desirable to further identify facial features within the facial images. The facial features of the image tend to be those regions of the image that are of particular importance to the viewer. In addition, it is desirable to limit the three dimensional aspects of the facial region of the image so that it doesn&#39;t inadvertently become distorted. In addition, it is desirable to modify the depth map so that the facial features will tend to be rendered in a visually pleasing manner. Accordingly, the rendering for the facial features may be different than that for other aspects of the image. 
     It may be desirable to modify the estimation of the depths and/or the rendering based upon the type of rendering device. The estimation of the depth and/or the rendering may also be based upon updating of the fields and/or system feedback. 
     One technique for training a neural network is to collect a selection of images and associated instrument measured three dimensional depth maps. The output of the processing by the neural network may be graded for accuracy, and the neural network updated accordingly to cause learning. 
     Referring to  FIG.  6   , with an improved depth map, with a reduced amount of errors or other irregularities, it is desirable to increase the 3D depth and popout for the three dimensional image or frame on the display. For example, for an eight bit depth range for the depth map and/or the 3D image generation process, the depth behind the image plane may be broken up into a depth having 256 depths (e.g., 8 bits). By way of example, the 8-bit depth map may be referenced from a 255 level being at the plane of the screen. In this manner, all of the three dimensional content would appear to be behind the screen. Pretty much all 3D depth may be represented by a range of 0 to 255 or eight bits of resolution. The amount of perceived depth is determined by the amount of horizontal displacement of left and right eye pixels associated with a depth value. One can think of 3D as a three dimensional box where the top, bottom, left and right sides are at the edges of the display. The far back of the box is at depth 256 and the near point is at the display screen and has depth value of zero. In this example all 3D is rendered behind the display screen. If you consider three dimensional coordinates where x axis is across the width of the screen, and y axis measures up and down on the screen, then the z axis measures distance behind the screen or in front of the screen. There may be an additional control of a z axis offset control where the three dimensional box can be offset on the z axis to be partly or even entirely in front of the screen instead of only behind the screen. By offsetting the three dimensional box partly out of the screen creates the 3D popout effect that so many viewers associate with the pleasure of watching 3D. The content moves into the viewer&#39;s geometric space. By using this z offset, content that is originally in 2D can be converted and spread across the space in front of the screen and behind the screen. While content is currently converted by humans in a very manual intensive process to create this effect in movies, this adjustment technique may do this in a real-time 2D to 3D converter. The movie “Titanic” was converted to 3D by a team of 300 people and took 18 months. The technique described herein may convert 2D “Titanic” to 3D real-time in less than one frame delay (one sixtieth of a second) and have part of the movie significantly popped out into the viewer&#39;s space during the entire movie in a natural easy-to-watch way that creates an enjoyable 3D experience. The technique can do that and output to any type of 3D display that is glasses-based 3D, or glasses-free 3D, or even holographic 3D. 
     Referring to  FIG.  7   , for example a pixel in the picture plane with a depth map pixel corresponding to depth-level 128 may be viewed at such a depth by shifting the pixel for the right eye view to the right by an appropriate distance and shifting the left eye view to the left by an appropriate distance from what would have otherwise been a central location in a two dimensional image. The same pixel in the picture plane with a depth map corresponding to 64 may be viewed at such a depth by shifting the pixel in the right eye view to the right by an appropriate distance and shifting the left eye view to the right by an appropriate distance from what would have otherwise been a central location in a two dimensional image. As illustrated in  FIG.  7   , the central location would be the same for both shifts, namely, a bit depth of 128 and a bit depth of 64. As it may be observed, the greater that the pixel position is horizontally separated in space, one for the left image and one for the right image, the greater the apparent depth of the pixel in the image. 
     Referring to  FIG.  8   , the image may be mapped into a depth space based upon a relative location of the front of the screen, which may be considered a “0” point for convenience having a depth of “D”, such as 256 levels for an 8-bit depth. It may be desirable to provide the appearance of a substantial portion of the 3D image appearing in front of the plane of the screen for increased visual desirability. 
     Referring to  FIG.  9   , the depth map of the image may be shifted by an amount “Z” relative to the screen plane. In this manner, the maximum depth of the image behind the screen plane is reduced by the amount Z. In this manner, the depth of the image in front of the screen plane is increased by the amount Z. As it may be observed, the overall depth of the pixel remains the same. In other embodiments, the image may be scaled to shift the image to increase the overall depth of the image in front of the screen plane, such as using a linear or non-linear function Z. Also, the image may be both scaled and shifted, if desired. However, preferably the resulting shifted depth of a pixel is less than the total shifted depth of the image. The shifting of the pixel may be achieved by adding and/or subtracting a depth value of Z and then remapping the pixels to the modified three dimensional depth. 
     Referring to  FIG.  10   , by way of example, an original bit depth of 128 may include a pair of shifted pixels to provide such a bit depth appearance. If the offset of Z is −200, then the resulting bit depth of the pair of shifted pixels will be −72 (i.e., 128−200=−72). Negative z axis values are in front of the display screen, it is observed, in the process of shifting a pixel across the screen plane, the direction of the pixel shifts for the eyes swaps when the pixel z position has a negative value. The pixel for the right eye is shifted to the left, and the pixel for the left eye is shifted to the right eye. This process may be repeated for all the pixels of the image based upon their respective depth value and the three dimensional box z offset. 
     In many cases, the spatial separation between objects is not well defined. This lack of spatial separation between objects tends to result in difficulty in the discrimination of objects in three dimensional space. After further consideration, it was determined that the non-linear nature of the human visual system results, at least in part, in such difficulty. In particular, as objects get closer to the viewer the ability of the human visual system to discriminate between different objects is reduced. To reduce the lack of spatial separation between object in the image, especially as a result of modification of the mapping of the objects to spread the across depth, it is desirable to include a non-linear re-mapping process. Referring to  FIG.  11   , a modified mapping may be based upon a generally concave curve-like function whereas the pixel mapping increasingly moves further in front of the display the curve tends to displace the pixels a greater distance. This revised mapping may be used for the entire display or a portion thereof. 
     Referring to  FIG.  12   , the image may be separated into a plurality of different regions, such as region  1 , region  2 , and region  3 . The regions are preferably defined based upon the objects detected in the image, such as for example, using a segmentation based technique, a face based technique, a texture based technique, etc . . . . One of the regions, for example, may be a facial region of a person. For each of the regions, a different mapping may be used that is selected to enhanced the visual quality for the viewer. 
     Referring to  FIG.  13   , the 2D to 3D conversion of images (e.g., depth engine) may result in a pixel depth estimation. The data structure may provide a mapping between the input depth map and the output depth map, which accounts for the non-linear optimization of the depth of the image. The optimized depth map is then provided to the 3D image render process (e.g., rendering engine). More than one data structure may be used, if desired, each with different properties. This provides an efficient technique for the mapping for the depth map adjustment. By way of example, the depth map re-profiling may be performed in accordance with a look-up-table. Each table entry may re-map an input depth value to a modified output value. By way of example, the depth map re-profiling may be performed in accordance with a formula. Each input depth value may be modified to a modified output value based upon the formula. By way of example, the depth map re-profiling may be performed in accordance with a non-linear curve (e.g., a mapping between an input depth N and an output depth Y). Each input depth value may be modified to a modified output value based upon the curve. By way of example, the depth map re-profiling may be performed in accordance with a linear level (e.g., a linear mapping between an input depth N and an output depth Y). Each input depth value may be modified to a modified output value based upon the level. By way of example, the depth map re-profiling may be performed in accordance with a histogram based technique (e.g., a histogram of values where the lower point may be dragged to stretch the depth towards or away from the back, where the higher point may be dragged to stretch the depth towards or away from the front, and a central point to stretch or compress the depth forward or backward). Each input depth value may be modified to a modified output value based upon the histogram. 
     Display devices tend to include a substantial number of pixels, such as a 4K display having 4096×2160 for an iMax movie, or 3840×2160 for new 4K UHD TV standard. An 8-bit per color channel 4K UHD video frame requires a buffer memory having a size of approximately 32 MB to store an uncompressed frame of data. Using such a large buffer for one or more frames for the neural network tends to be costly and consume significant amounts of power in memory accesses which is problematic for a mobile device which has limited battery life. 
     Referring to  FIG.  14   , to reduce the power consumption requirements it is preferable to receive a compressed video bitstream serially, the way it is broadcast, in a line-by-line manner, then uncompress it serially in a line-by-line manner. The uncompressed video bitstream is then provided to the depth engine in a line-by-line manner (or portions thereof). In this manner, the depth engine outputs a depth map in a line-by-line manner (or portions thereof). The depth engine may include a limited amount of temporal buffering so that small regions of the image may be processed to determine image characteristics, such as texture, edges, facial regions, etc. In this manner, a few lines of pixels of a particular image (i.e., less than all) are being provided to the depth engine while the depth engine is simultaneously providing its outputs, which are likewise being provided to the rendering engine while pixels of the particular image are still being provided to the depth engine. This technique substantially reduces the buffering requirements, and therefore the power consumption of devices, such as mobile devices. This is not readily achieved by processor-based/software-based systems do to the limited performance of processes, but it is more readily achievable with a neuro network architecture. 
     One technique to modify the bit depth of the depth map may be as follows. The system may use a small direct memory access memory such as a 256 deep memory where the original depth value is used as an index (address) into the memory which outputs a new depth value. 
     Referring to  FIG.  15   , the depth engine or the modified depth map, may be provided to a FIFO queue of streaming pixels for the left image view and a FIFO of pixels for the right image view that is provided to the rendering engine. In some embodiments, the queues may be a combined queue, if desired. The queue is preferably sized to be representative of at least the largest potential displacement plus and minus permitted of a corresponding pair of pixels. The source pixel is displaced from the middle of the fifo based upon the displacement associated with the pixel&#39;s depth map value and z offset control and the specific view. Additional “video effects” displacement offsets can be added to the normal displacement offset to create a variety of special effects or video compensations for the image on specific display technologies. 
     With the displacement of the pixels being known for a particular location of the image, the right pixel may be displaced in the right image queue buffer at an approximate position relative to the left pixel queue buffer. For each pixel of the image being provided for a line or portion thereof for the image, the pixel values may be positioned in an appropriate location within the respective left image queue and the right image queue. Because the pixels are handled real-time as they flow through the architecture, there is no need for the typical external DRAM to buffer many tens or hundreds of frames that would be needed if this was implemented in software. This dramatically reduces power, and die size because the structure is orders of magnitude more efficient than a processor or array of processors. 
     Referring to  FIG.  16   , an embodiment illustrates one technique to use a displacement technique with a pair of buffers. This particular example is a stereo or two-eye view, but may also be modified for a glasses-free 3D model when more views are desired. In that case, there would often be a row for each view. The depth map or modified depth map may have a pixel value A with a displacement D 1 . The pixel value A is then included in the left image queue to a pixel position that is left of the original and pixel value A is inserted in the right image queue to a pixel position that is right of the original by an amount corresponding to D 1 . This is a stereo 3D example or 2-view autostereo example. For multi-view there would be a unique displacement in each FIFO that represents a multi-view view. In the Stereo 3D or two-view example, the pixel value B is then included in the left image queue and the right image queue offset from the mid-point with a displacement D 2 . The pixel values of A and B are shifted to the right, the depth map or modified depth map may have a next pixel value of C with a displacement D 3 . The pixel value C is then included in the left image queue and the right image queue offset from the mid-point with a displacement D 3 . The pixel values of A, B, and C are shifted to the right, the depth map or modified depth map may have a next pixel value of D with a displacement D 4 . The pixel value D is then included in the left image queue and the right image queue offset from the mid-point with a displacement D 4 . The pixel values of A, B, C, and D are shifted to the right, the depth map or modified depth map may have a next pixel value of E with a displacement D 5 . The pixel value E is then included in the left image queue and the right image queue offset from the mid-point with a displacement D 5 . The pixel value of A is provided for the left image and the pixel value of D is provided to the right image. This process may be continued, as desired. As it may be observed, the size of the buffer may be substantially reduced thus saving power consumption for the device. As it may be observed, the placement of the pixel values in the queues are performed with only write commands which is more energy efficient, and the only a pair of pixel values are ready out of the queue for rendering on the display. 
     To help understand and example of how glasses-free 3D displays work, referring to  FIG.  17   , in a typical lenticular autostereoscopic display apparatus  1700  includes a matrix pixel display device comprising a LC (liquid crystal) display panel  1710  having a row and an angular lens column array of display elements  1720  and acting as a spatial light refraction to visually isolate specific views relative to each of a viewer&#39;s eyes a backlight  1730  is also illustrated. Lenticular elements are provided such as by using a lenticular sheet optical lens with prisms  1740  whose lenticules  1750  (exaggerated in size), include elongate semi-cylindrical lens elements, extend in the column direction of the display panel, parallel to the display element columns. Each lenticule overlying a respective group of two, or more, adjacent columns of display elements. In many LCD display panels the LCD matrix includes regularly spaced rows and columns of display elements. Typically, the display arrangements are arranged as columns of approximately square pixels, where each pixel is composed of a row of red, green, and blue sub-pixels. A group of three of or more sub-pixels (e.g., red, green, and blue) form a pixel of the display. Other structures and arrangements of display elements and optical elements may be used. 
     In an arrangement where each lenticule is typically associated with two to four columns of display sub-pixels per pixel row, the display sub-pixels in each column provide a vertical segment of a specific eye-view to be rendered. A single prism on the lenticular lens typically has a magnification of 2× to 4× which allows primarily one of the subpixels to be seen from a specific eye-view angle on a specific pixel row. Being that a viewer second eye is at a different horizontal viewing position, it would see a different view and subpixel compared the first eye. This is what enables the ability to deliver a different view experience to each eye. In multi-view screens which have 7, 8 or 9 views, a viewer can move their head side to side and see various views in each eye that appear like you can see around 3D objects. 
     Referring to  FIG.  18   , the operation of a lenticular type of an imaging arrangement is illustrated. The light source, display panel, and lenticular sheet are illustrated. The arrangement provides three views of each image projected in a different direction. Eye position  1  could be the viewer&#39;s right eye, Eye position  2  could be a viewer&#39;s left eye. Each sub-pixel on a pixel row of the display is driven with information for one specific view, such as for the left or right eye of the viewer. Given that each eye of a view sees a different view, a person will perceive a stereoscopic image. It may be observed that the particular view being observed depends on the location of the viewer, which is represented at a particular observing location. 
     Referring to  FIG.  19   , the lenticules may be arranged in a slanted arrangement with respect to the columns of display pixels, that is, their main longitudinal axis is at an angle to the column directions of the display element array. In this arrangement, the sub-pixels are labeled with their corresponding view of the multi-view arrangement. As it may be observed, some of the pixels are split among a plurality of different lenticules so that part of its light is projected by more than one lenticular. In addition, the particular view being observed depends on the location of the viewer, which may be represented as a particular point location. 
     Referring to  FIG.  20   , another technique of calculating the horizontal pixel displacements is illustrated with three different pixel depths, a pixel at a depth position behind the screen versus a couple pixels positions in front of the screen. Unlike the previous technique where depth and popout are independent of a viewers somewhat independent of a viewers distance from the display screen, this modified technique offers popout and depth which are proportionally relative to the viewers distance from the display screen. This improves the 3D experience for a viewer that is further from the display screen. 
     With a pair of eyes of a viewer at a given distance apart and at a given distance from the screen, the displacement of the pixels displayed on the screen may be illustrated as S 1 . However, when the pixel is illustrated at a depth in front of the screen, the pixel shifts reverse for the eyes and the shift of the pixels for being displayed on the screen may be illustrated as S 2 . As it may be observed, the distance of the shift on the screen varies with the depth behind the display and the depth in front of the display. In addition, the shift in the pixel distances should be based upon the distance between the eyes of the viewer. In this manner, it may be observed that with increasing depth behind the display the shift behind S 1  tends to vary from the displacement being substantially equal to the distance between the eyes of the viewer (at a distance behind the display nearing infinity) to a displacement of zero with the distance at the display. In this manner, it may be observed that with increasing depth in front of the display the displacement in front S 2  tends to vary from the displacement being zero with the distance in front of the display being equal to zero to a substantial displacement that increases substantially as the shift gets increasingly closer to the viewing plane. It may be observed, that the shift behind S 1  for changes in depth behind the display results in relatively minor shifts compared to the corresponding shifts S 2  for changes in the depth in front of the display. Accordingly, the depth map and/or rendering should account for the differences in the rendering with respect to the distance between the eyes of the viewer and the distance that the viewer is from the display screen. This creates a yet more realistic 3D geometries and can facilitate a greater 3D pop-out effect in front of the display. Moreover, with increasingly greater change in the depth in front of the display, the shift in front S 3  tends to vary at an ever increasing manner such that even a minor z axis offset in front of the display results in a substantial displacement of the pixels. 
     Referring to  FIG.  21   , the display is illustrated with a representation of the spacing for the viewer&#39;s eyes for an auto-stereoscopic display. It will be observed, that the angle to each pixel or sub-pixel varies with its relative position with respect to the eyes. In addition, the angle to each pixel or sub-pixel also varies depending on which eye the image is being sensed by. Accordingly, in this manner, the position of the particular eye relative to the display is different for each pixel or sub-pixel of the desired view of the display. These different angles impact the quality of the rendered image. 
     Referring to  FIG.  22   , the display is illustrated with a representation of the spacing for the viewer&#39;s eyes for an auto-stereoscopic display of  FIG.  21    with the eyes of the viewer being moved a further distance from the display. It will be observed, that the angle to each pixel or sub-pixel varies with its relative position with respect to the eyes and is different than illustrated in  FIG.  21   . In addition, the angle to each pixel or sub-pixel also varies depending on which eye the image is being sensed by and is different than illustrated in  FIG.  21   . Accordingly, in this manner, the position of the particular eye relative to the display is different for each pixel or sub-pixel of the desired view of the display and is different than illustrated in  FIG.  21   . These different angles impact the quality of the rendered image. 
     In addition to movement of the viewer in a perpendicular direction to the display, the viewer also tends to move in a parallel direction with respect to the display. As the viewer moves in a horizontal direction with respect to the display, the angle to each pixel or sub-pixel further varies with its respective position with respect to the eyes. In addition, the angle to each pixel or sub-pixel also varies depending on which eye the image is being sensed by. Accordingly, in this manner, the position of the particular eye relative to the display is different for each pixel or sub-pixel of the desired view of the display. These different angles impact the quality of the rendered image. A viewer may see several different views with the same eye as they look from one side of the display to the other. 
     A typical display may have six to nine different views per lenticule. In an eight-view display, the views from left to right may sequence as 1, 2, 3, 4, 5, 6, 7, 8. Depending on a viewer&#39;s position the left eye may be looking at view 4 and the right eye at view 7. As a viewer moves to the right the views repeat over and over: 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, . . . . At the transition between view 8 back to view 1, there is a large discontinuity, also known as “deadzone”, between the far right view of 8 and the far left view of view 1. This can be uncomfortable because it is common that an eye sees bleed from one view into the other. There are many ways of making this deadzone tend to disappear using smoothing or blending between views, But when the left eye is looking at view 7 and the right eye is looking at view 3, depth becomes inverted and things that were popped out of the display screen shift to behind the screen. This can cause a warped view of objects that cross this zone. Since the viewer&#39;s eye actually sees different views due to different angles between the viewer&#39;s eye and the pixel&#39;s across the screen, a viewer may see this depth inversion effect in a section of the screen. As the viewer moves side-to-side, the warped zone will move back and forth. This means that it is difficult to find a position where this zone is not seen somewhere on the screen. 
     A horizontal view-stretching transformation can be applied to compensate for angle of the eye relative to pixels from one side of the screen to the other. This provides very wide zones where no (or fewer) deadzone/warpzone can be seen. And when seen the whole screen will warp the same way thereby preserving the integrity of the objects geometries on the screen. 
     This stretching transformation to reduce the effect of dead zones is to stretch the views associated with selected pixels to reduce the dead zones for a particular viewer distance from the screen. In this manner, the views may be stretched for one or more adjacent sub-pixels of the image so that the viewer&#39;s eye observes The same view all the way across the screen. 
     Referring to  FIG.  23   , it is desirable to modify the rendering of the three dimensional image on the display to account for the angular variations in the rendering of the images on the display from a location in front of the display, such as for example, in front of the center of the display at a distance of 8 times the height of the display. The modification of the image may be the result of effectively expanding the distance between particular pixels of the image (or sub-pixels) and/or effective compressing the distance between particular pixels of the image (or sub-pixels). This expansion and/or compression of the distance is preferably done in a manner that is symmetrically centered with respect to the center of the screen. The shifting and stretching of the pixels may be approximated by a polynomial or other function as part of view displacement, such as for example, Ax 2 +Bx+C. Ax 2  generally refers to the non-linear shifting with respect to the angle of the viewer with respect to the display. Bx generally refers to a linear shifting amount with respect to the horizontal angle of the viewer with respect to the display. C generally refers to a fixed offset of the entire subpixel array. Preferably, due to the nature of typical displays, as the pixels are positioned at locations further distant from the center of the display (with the viewer centered in the display) the pixels are increasingly shifted a greater distance. This shifting of the location of the pixels of the image that are to be rendered on the display decreases the perception of the dead zones with respect to the viewer. 
     Displacement transformations can be used to provide many image enhancement features. Two-view parallax barrier displays are commonly used for small mobile displays. A side effect of today&#39;s only-two-view autostereo displays is that the sweet spot for seeing 3D can be very narrow. Unless a viewer holds the display just right, they will not see 3D. But, a software driver that uses the mobile device camera could track the position of the viewer&#39;s eyes relative to the display, and a constant shift, such as the C parameter in the previous polynomial example, could be added into the displacement calculation. This C would be picked to compensate for the viewer&#39;s eye position so that the viewer always sees the 3D sweet spot. This is likewise applicable to non-mobile displays. 
     Referring to  FIGS.  24 A-B , the display may present a 3D image by presenting the different images to the different eyes of the viewer, as illustrated by the solid lines. If the viewer shifts to a different location, such as shifting to the right, the display may present a modified 3D image by presenting the different views to the different eyes of the viewer, as illustrated by the dashed lines. The image that is presented may be modified as described in relation to  FIG.  23   . In particular, the adjustment may include “C” to shift the image to a more appropriate location to be directly in line with the eyes of the viewer so that the dead zones are reduced. 
     In another the embodiment, the displacement modifying function parameters may be provided together with video stream that is tailored for a particular video sequence. In another embodiment, the displacement modifying function may implemented with a look up table. 
     Referring to  FIG.  25   , the display panel may include a curved front surface with pixels defined thereon. In this manner, the physical location of the pixels are arranged in a curved orientation. For example, the curved displays may be manufactured from liquid crystal material or organic light emitting diodes. The curvature of the display causes different angles between eye and screen at different horizontal locations on the screen than a flat screen. The displacement modifying function can be used to shift/stretch view locations to compensate for the different angles across the screen for any specific distance that the viewer is from the screen. 
     In some cases it is desirable to use a three dimensional display as a presentation device for advertisements or otherwise. While obtaining such content for presentation using a three dimensional imaging device or otherwise computer generated three dimensional content is possible, those options tend to be relatively expensive. Referring to  FIG.  26   , when the two-dimensional image(s) for the advertisement or otherwise is obtained it is obtained from a known angle with respect to an object. For example, two dimensional images may be of a product, such as large energy drink, from an angle of 45 degrees from a position from above the product. With the two-dimensional images(s) of the object, the system may use a suitable technique to convert the 2D image(s) to 3D images. With the resulting three dimensional characteristics of the object being characterized, the angular relationship with respect to the object being known may be used to transform the orientation of the object that is rendered in a 3D image generation process for a display is oriented facing up such as a display that is mounted in a table top. The displacement modifying function could be set to transform objects up and out of the display. Which would make them look holographic sitting on top of the display table. In another example, sporting events shot from a known angle could be transformed such that the players look like they are running plays across the top of the display table. For example, based upon the angular relationship used to obtain the two dimensional image content the object may be transformed in three dimensional space to increasingly pop up on top of the display The transformation may be based upon a matrix or otherwise a set of polynomial equations in the view displacement engine. For example, the x axis transformation may be based upon Ax 2 +Bx+C; the y axis transformation may be based upon Ay 2 +By+C; and the z axis transformation may be based upon Az 2 +Bz+C. In addition, each of the views for the image may be transformed in a different manner. For example, for the large energy drink the transformation for the right eye view may stretch the image upwardly to the right while the transformation for the left eye view may stretch the image upwardly to the left. This table top transformation often requires only a trapezoid calculation relative to the vertical pixel row position. 
     Referring to  FIG.  27   , the two dimensional images may have been captured using a variety of different lenses. For example, in order to capture two dimensional images of small birds often a large telephoto lens is used which tends to result in a relatively narrow field of view and, in some cases, result in a relatively shallow depth of field. For example, in order to capture the entire expanse of the Grand Canyon in Arizona often a wide angle lens is used which tends to result in a relatively wide field of view and, in some cases, a relatively deep depth of field. Each of these lenses tends to result in a different two dimensional image that preferably has different three dimensional characteristics when rendered on a three dimensional display. Even if the same “scene” is captured with the wide angle lens and the telephoto lens the images tend to have different characteristics that are preferably rendered on a three dimensional display in a different manner. Or a scene which is shot with a telephoto lens might look better if the 3D looked like a wide-angle lens was used. 
     Here again, the displacement modifying function can be used to create this new 3D effect of modeling a particular type of lens. The system may include a lens model, such as, modeling the characteristics of a wide angle lens, a standard lens, a telephoto lens, a fish eye lens, etc. By way of example, a telephoto lens may be characterized, in part, by a straight and linear rendering of the three dimensional image/frame. By way of example, a wide angle lens may be characterized, in part, by increasing shifting of pixels away from the center of the display screen the closer they are to the viewer. This is a function of the Z axis position of the pixels in 3D space and the horizontal and possibly the vertical distance of the pixels from the center of the screen. It is to be understood that the terms image and/or frame are used interchangeably, and that two or more images and/or frames refers to a video or sequence. 
     Referring to  FIG.  28   , a side effect of conservative conversion is that sometimes only a narrower range of the depth space is utilized. Expanding or normalizing the 3D across more levels of depth can create a more compelling result. For example, the primary concentration of depths of the depth map may be within a range of 30 to 120 out of a range of 0 to 255. However, for many images it is more desirable to have a greater range of depths for the primary concentration so that the images have more depth. A mapping may be used to expand the depth map so that those pixels clustered in the concentrated region are spread out while those pixels that are not clustered in the concentrated region are not expanded to the same extent. This modification of the depth mapping may be based upon a table-mapped or formula mapped remapping of the input depth values to a wider range of values. This modification of the depth mapping may also be based upon a non-linear adjustment of a different amount for different portions of the range. Also, this modification may be based upon determining a central point (or otherwise) of the depths of the pixels for the particular image(s), and adjusting the range based upon the central point and the clustering of the depths of the pixels around the central point. In this manner, the adjustment is adaptive to the particular content of the image(s). In the event that the depth map is not sufficiently compressed, the modification of the depth map may result in compressing the depth map (or a portion of the depth map). In addition, the modification applied to the depth map for the image(s) may compress portions of the depth map while expanding other portions of the depth map. In addition, the modifications to the depth map may be applied in a different manner to different portions of the depth map for the images. For example, a first region of the image may be applied a first modification and a second region of the image may be applied a second modification. 
     The terms and expressions which have been employed in the foregoing specification are used therein as terms of description and not of limitation, and there is no intention, in the use of such terms and expressions, of excluding equivalents of the features shown and described or portions thereof, it being recognized that the scope of the invention is defined and limited only by the claims which follow.