Method for digital quantization
First Claim
1. A computer program product comprising a computer usable medium having computer readable code embodied therein for execution on a general purpose computer, said computer program product operating in a video compression-decompression system, said system applying MPEG-X series standards basic principle comprising a digital approximation of analog video information in frames, said frames comprising pixels arranged and shaped to fill the area of the frames completely, wherein the frames are partitioned into non-overlapping quantization blocks of grouped complete and incomplete pixels, and wherein the quantization blocks are encoded by a transform providing intra-block encoding-correlation among the complete and incomplete pixels,said computer usable medium storing instructions that, when executed by the computer, cause the computer to perform a method for optimally arranging and shaping said quantization blocks of pixels into groupings, said method comprising:
- determining that arrangement for which the statistical boundary error as equalized in accordance with Chebyshev'"'"'s alternance theorem, whereby;
a) all of said quantization blocks have the same shape, independent of congruence and alignment with the shape of each of said pixels;
b) each of said quantization blocks has the same environment as contiguous quantization blocks;
c) each of said quantization blocks has the lowest possible number of contiguous quantization blocks;
d) the variance of measured distances from the center of one of said quantization blocks to the centers of neighboring quantization blocks is minimized; and
e) the variance of measured common boundary lengths between one of said quantization blocks and contiguous quantization blocks is minimized.
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Abstract
There is disclosed the use of a beehive cell arrangement of shaped quantization blocks for grouping pixels for the digital approximation of analog video information. A frame may consist of beehive-arranged hexagonal quantization cell blocks or brick-wall-arranged rectangular cell quantization blocks, where each pixel belongs only to one shaped quantization block. A beehive cell arrangement of circle-shaped quantization blocks is described for use when the frame is partitioned into overlapping quantization blocks.
9 Citations
16 Claims
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1. A computer program product comprising a computer usable medium having computer readable code embodied therein for execution on a general purpose computer, said computer program product operating in a video compression-decompression system, said system applying MPEG-X series standards basic principle comprising a digital approximation of analog video information in frames, said frames comprising pixels arranged and shaped to fill the area of the frames completely, wherein the frames are partitioned into non-overlapping quantization blocks of grouped complete and incomplete pixels, and wherein the quantization blocks are encoded by a transform providing intra-block encoding-correlation among the complete and incomplete pixels,
said computer usable medium storing instructions that, when executed by the computer, cause the computer to perform a method for optimally arranging and shaping said quantization blocks of pixels into groupings, said method comprising: -
determining that arrangement for which the statistical boundary error as equalized in accordance with Chebyshev'"'"'s alternance theorem, whereby; a) all of said quantization blocks have the same shape, independent of congruence and alignment with the shape of each of said pixels; b) each of said quantization blocks has the same environment as contiguous quantization blocks; c) each of said quantization blocks has the lowest possible number of contiguous quantization blocks; d) the variance of measured distances from the center of one of said quantization blocks to the centers of neighboring quantization blocks is minimized; and e) the variance of measured common boundary lengths between one of said quantization blocks and contiguous quantization blocks is minimized. - View Dependent Claims (2, 3)
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4. A computer program product comprising a computer usable medium having computer readable code embodied therein for execution on a general purpose computer, said computer program product operating in a video compression-decompression system, said system applying MPEG-X series standards basic principle comprising digital approximation of analog video information in frames, said frames comprising pixels arranged and shaped to fill the area of the frames completely, wherein the frames are partitioned into overlapping quantization blocks of grouped complete and incomplete pixels, and wherein the quantization blocks are encoded by a transform providing intra-block encoding-correlation among the complete and incomplete pixels, and wherein at least one said pixel belongs to more than one quantization block,
said computer usable medium storing instructions that, when executed by the computer, cause the computer to perform a method for optimally arranging and shaping said overlapping quantization blocks of pixels into groupings, comprising determining that arrangement for which the statistical boundary error is equalized in accordance with Chebyshev'"'"'s alternance theorem, whereby: -
a) said overlapping quantization blocks have the same shape, independent of congruence and alignment with the shape of each of said pixels; b) each overlapping quantization block has the same environment as contiguous overlapping quantization blocks; c) each said overlapping quantization block has the least possible number of said contiguous overlapping quantization blocks; d) variance of measured distances from the center of one of said overlapping quantization blocks to the centers of neighboring overlapping quantization blocks is minimized; and e) variance of measured overlapping areas between one of said overlapping quantization blocks and contiguous overlapping quantization blocks is minimized. - View Dependent Claims (5, 6)
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7. A computer program product comprising a computer usable medium having computer readable code embodied therein for execution on a general purpose computer, said computer program product operating in a video compression-decompression system,
said system applying MPEG-X series standards basic principle comprising a digital approximation of analog video information in frames, said frames comprising pixels arranged and shaped to fill the area of the frames completely, wherein the frames are partitioned into quantization blocks of grouped complete and incomplete pixels, and wherein the quantization blocks are encoded by a transform providing intra-block encoding-correlation among the complete and incomplete pixels, said computer usable medium storing instructions that, when executed by a computer, cause the computer to perform a method for organization of said quantization blocks into such arrangements that at least two said video-information frames differ by said arrangements of said quantization blocks; -
and wherein the statistical boundary error for each said arrangement is equalized in accordance with Chebyshev'"'"'s alternance theorem, whereby a) all of said quantization blocks have the same shape, independent of congruence and alignment with said pixel'"'"'s shape; b) each quantization block has the same environment as contiguous quantization blocks; c) each of said quantization blocks has the lowest possible number of contiguous quantization blocks; d) variance of measured distances from the center of one of said quantization blocks to the centers of neighboring quantization blocks is minimized; and e) variance of measured common boundary lengths between one of said quantization blocks and contiguous quantization blocks is minimized. - View Dependent Claims (8, 9, 10, 11, 12, 13, 14, 15, 16)
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Specification