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Improved Reversible Integer Transform
"... AbstractInteger transform are the discrete transforms whose transform and the number ofpoints ofthe original transform entries are summations of 2k. If for an integer transform, we is no longer constrained to be a power of two. It is a great can perfectly recover the input from the output, we call ..."
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AbstractInteger transform are the discrete transforms whose transform and the number ofpoints ofthe original transform entries are summations of 2k. If for an integer transform, we is no longer constrained to be a power of two. It is a great can perfectly recover the input from the output, we
Multiwavelets and Integer Transforms
"... In many applications of image processing, the given data are integervalued. It is therefore desirable to construct transformations that map data of this type to an integer (or rational) ring. Calderbank, Daubechies, Sweldens, and Yeo [1] devised two methods for modifying orthogonal and biorthonal w ..."
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In many applications of image processing, the given data are integervalued. It is therefore desirable to construct transformations that map data of this type to an integer (or rational) ring. Calderbank, Daubechies, Sweldens, and Yeo [1] devised two methods for modifying orthogonal and biorthonal
An Efficient Realization of Forward Integer Transform
 in H.264/AVC Intraframe Encoder. In International Conference on Embedded Computer Systems (SAMOS
, 2010
"... Abstract—The H.264/AVC intraonly frame encoder, for its excellent encoding performance, is wellsuited for image/video compression applications such as Digital Still Camera (DSC), Digital Video Camera (DVC), Television Studio Broadcast and Surveillance video. The forward integer transform is an int ..."
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Abstract—The H.264/AVC intraonly frame encoder, for its excellent encoding performance, is wellsuited for image/video compression applications such as Digital Still Camera (DSC), Digital Video Camera (DVC), Television Studio Broadcast and Surveillance video. The forward integer transform
Matrix Factorizations for Parallel Integer Transforms
, 2004
"... Integer mapping is critical for lossless source coding and the techniques have been used for image compression in the new international image compression standard, JPEG 2000. In this paper, from block factorizations for any nonsingular transform matrix, we introduce two types of parallel elementary ..."
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Integer mapping is critical for lossless source coding and the techniques have been used for image compression in the new international image compression standard, JPEG 2000. In this paper, from block factorizations for any nonsingular transform matrix, we introduce two types of parallel elementary
The Encyclopedia of Integer Sequences
"... This article gives a brief introduction to the OnLine Encyclopedia of Integer Sequences (or OEIS). The OEIS is a database of nearly 90,000 sequences of integers, arranged lexicographically. The entry for a sequence lists the initial terms (50 to 100, if available), a description, formulae, programs ..."
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Cited by 866 (15 self)
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This article gives a brief introduction to the OnLine Encyclopedia of Integer Sequences (or OEIS). The OEIS is a database of nearly 90,000 sequences of integers, arranged lexicographically. The entry for a sequence lists the initial terms (50 to 100, if available), a description, formulae
Transform Coding with IntegertoInteger Transforms
, 2000
"... A new interpretation of transform coding is developed that downplays quantization and emphasizes entropy coding, allowing a comparison of entropy coding methods with different memory requirements. With conventional transform coding, based on computing KarhunenLove transform coefficients and then q ..."
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quantized and then transformed with an integertointeger approximation to a nonorthogonal linear transform. Among the possible advantages is to reduce the memory requirement further than conventional transform coding by using a single common scalar entropy codebook for all components. The analysis shows that for high
RECONFIGURABLE ARCHITECTURE OF AVC/H.264 INTEGER TRANSFORM
"... The paper presents an original reconfigurable architecture of inverse integer transformation for H.264/AVC decoder. Proposed design can perform integer 4x4, 8x8 and Hadamard inverse transform including inverse quantization process as well. The design exploits pipelined architecture and supports FPGA ..."
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The paper presents an original reconfigurable architecture of inverse integer transformation for H.264/AVC decoder. Proposed design can perform integer 4x4, 8x8 and Hadamard inverse transform including inverse quantization process as well. The design exploits pipelined architecture and supports
A novel reversible watermarking based on an integer transform
 in Proceedings of International Conference on Image Processing (ICIP ’07
, 2007
"... A novel reversible data hiding scheme based on an integer transform is presented in this paper. The invertible integer transform exploits the correlations among four pixels in a quad. Data embedding is carried out by expanding the differences between one pixel and each of its three neighboring pi ..."
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A novel reversible data hiding scheme based on an integer transform is presented in this paper. The invertible integer transform exploits the correlations among four pixels in a quad. Data embedding is carried out by expanding the differences between one pixel and each of its three neighboring
Reversible IntegertoInteger Transforms and Symmetric Extension . . .
, 2003
"... The recent JPEG2000 image coding standard includes a lossless coding mode based on reversible integer to integer lter banks, which are constructed by inserting rounding operations into the filter bank lifting factorisation. The baseline (Part 1) of the JPEG2000 standard supports a single reversible ..."
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The recent JPEG2000 image coding standard includes a lossless coding mode based on reversible integer to integer lter banks, which are constructed by inserting rounding operations into the filter bank lifting factorisation. The baseline (Part 1) of the JPEG2000 standard supports a single reversible
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