Apparatus and method for encoding and decoding digital signals
First Claim
Patent Images
1. A digital signal encoding method for image compression followed by at least one of storage and transmission thereof, comprising the step of:
- defining relatively high frequency and relatively low frequency components of an original digital signal representing an image comprised of segments on each of two scales, said components being defined for each segment;
fractal-processing the two relatively high frequency components by conducting a comparison therebetween;
generating an encoded digital signal comprising a representation of at least one of the relatively low frequency components and a representation of a result of the fractal-processing step for each segment;
utilizing said encoded digital signal to provide at least one of storage and transmission of a compressed image.
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Abstract
A digital signal encoding method including the steps of defining first and second components of an original digital signal on each of two scales, fractal-processing the two first components by conducting a comparison therebetween and generating an encoded digital signal including a representation of at least one of the smooth components and a representation of the result of the fractal-processing step.
155 Citations
115 Claims
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1. A digital signal encoding method for image compression followed by at least one of storage and transmission thereof, comprising the step of:
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defining relatively high frequency and relatively low frequency components of an original digital signal representing an image comprised of segments on each of two scales, said components being defined for each segment; fractal-processing the two relatively high frequency components by conducting a comparison therebetween; generating an encoded digital signal comprising a representation of at least one of the relatively low frequency components and a representation of a result of the fractal-processing step for each segment; utilizing said encoded digital signal to provide at least one of storage and transmission of a compressed image. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 104, 106, 108, 110)
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24. A method for decoding a received digital signal representing an encoded image comprised of segments, the method comprising the steps of:
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extracting for each segment a coarse relatively low frequency signal component, a fine relatively low frequency signal component and fractal information from the received encoded digital signal; computing for each segment a difference between a reference digital signal and the coarse relatively low frequency signal component, thereby defining a difference signal; performing a plurality of linear shrinking and scaling operations on a plurality of portions of said difference signal contained in respective coarse grid segments using the fractal information, thereby defining a modified difference signal; and adding for each segment the fine relatively low frequency signal component with the modified difference signal, thereby defining a decoded digital signal which substantially reconstructs each segment of the original signal. - View Dependent Claims (25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 103, 105, 107, 109)
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111. Apparatus for decoding a received digital signal representing an encoded image comprised of segments, the apparatus comprising:
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a difference computation unit operative in each segment to compute a difference between a reference digital signal and a coarse relatively low frequency signal component extracted from the received digital signal, thereby defining a difference signal; a linear shrink and scale processor operative to perform a plurality of linear shrink and scale operations on a plurality of portions of said difference signal respectively contained in a plurality of coarse grid segments using fractal information extracted from the received digital signal, thereby defining a modified difference signal; and a signal addition unit operative in each segment to add a fine relatively low frequency signal component extracted from the received digital signal with the modified difference signal, thereby defining a decoded digital signal which substantially reconstructs each segment of the original signal.
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112. An image compression method comprising:
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providing a digital signal representing an image comprised of segments; for each segment, separating the digital signal into relatively high frequency and relatively low frequency components; applying fractal compression processing only to the relatively high frequency component; applying non-fractal compression processing to the relatively low frequency component; and utilizing the relatively high frequency component following fractal processing thereof and the relatively low frequency component following non-fractal processing thereof to produce a compressed image representation for each segment.
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113. Image compression apparatus operative on a digital signal representing an image comprised of segment, the apparatus comprising:
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a frequency separator for separating for each segment the digital signal into relatively high frequency and relatively low frequency components; a fractal processor operating only on the relatively high frequency component; a non-fractal processor operating on the relatively low frequency component; and a compressed signal generator utilizing the relatively high frequency component following fractal processing thereof and the relatively low frequency component following non-fractal processing thereof to produce a compressed image representation for each segment.
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114. An image retrieval method comprising:
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retrieving from storage or a transmission link a digital signal representing an encoded image comprised of segments and having at each segment an encoded relatively high frequency signal component and an encoded relatively low frequency signal component; applying fractal decompression processing to the encoded relatively high frequency signal component, thereby producing for each segment a decompressed relatively high frequency signal component; applying non-fractal decompression processing to the encoded relatively low frequency signal component, thereby producing for each segment a decompressed relatively low frequency signal component; combining for each segment said decompressed relatively high frequency signal component with said decompressed relatively low frequency signal component, thereby producing each segment of a reconstructed image signal; and employing said reconstructed image signal to produce a visible image.
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115. An image retrieval system comprising:
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a receiver, retrieving from storage or a transmission link a digital signal representing an encoded image comprised of segments and having at each segment an encoded relatively high frequency signal component and an encoded relatively low frequency signal component; a fractal decoder, applying fractal decompression processing to the encoded relatively high frequency signal component, thereby producing for each segment a decompressed relatively high frequency signal component; a non-fractal decoder, applying non-fractal decompression processing to the encoded relatively low frequency signal component, thereby producing for each segment a decompressed relatively low frequency signal component; a signal combiner, combining for each segment said decompressed relatively high frequency signal component with said decompressed relatively low frequency signal component, thereby producing each segment of a reconstructed image signal; and a visible image generator, employing said reconstructed image signal to produce a visible image.
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Specification