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Reversible integer-to-integer mapping of N-point orthonormal block transforms

SIGNAL PROCESSING 2007年第5期87卷 950-969页

作者： Abhayaratne, G. C. K. Univ Sheffield Dept Elect & Elect Engn Lab Image & Vis Engn Sheffield S1 3JD S Yorkshire England

Reversible integer-to-integer (I2I) mapping of orthonormal transforms are vital for developing lossless coding with scalable decoding functionalities. A general framework for reversible I2I mapping of N-point, where N is a positive integer power of 2, orthonormal block transforms using recursive factorization of such transform matrices and the lifting scheme is presented. Designs include the discrete cosine transform (DCT) that maps integers to integers (I2I-DCT), the discrete sine transform that maps integers to integers (I2I-DST) and the Walsh-Hadamard transform that maps integer to integers (I2I-WHT). The main significant feature of these designs is that the transform coefficients are normalized according to the conventional scaling factors, which is vital for embedded coding, while preserving the integer-to-integer mapping and perfect reconstruction. This makes these transforms usable in both lossless and lossy image coding, especially in scalable lossless coding. These generic N-point design of the above transforms enables evaluating the effect of block sizes of such transforms in lossless coding. The performance is evaluated in terms of lossless image and video coding, quality scalable decoding, complexity and lifting step rounding effects. (c) 2006 Elsevier B.V. All rights reserved.

关键词： integer transforms integer-to-integer DCT integer-to-integer WHT integer-to-integer DST lifting lossless image/video coding

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Orthonormal integer block transforms for lossless coding : Design and performance analysis

Orthonormal integer block transforms for lossless coding : D...

引用

Conference on Visual Communications and image Processing 2003

作者： Charith, G Abhayaratne, K CWI Ctr Math & Comp Sci NL-1090 GB Amsterdam Netherlands

ISBN: (纸本)0819450235

In this paper a general framework for N-point, where N=2(d) with d is an element of Z and d > 0, orthonormal block transforms that map integers to integers using the lifting scheme is presented. The design of the Discrete Cosine Transform (DCT) that maps integers to integers (I2I-DCT), the Discrete Sine Transform that maps integers to integers (I2I-DST) and the Walsh Hadamard Transform that maps integer to integers (I2I-WHT) is presented. The main significance of this design is that the orthonormal property of the transforms is maintained by proper normalisation while preserving the integer to integer mapping and perfect reconstruction. This makes these transforms usable in both lossless and lossy image coding, especially in scalable lossless coding. The coding performance of these transforms is evaluated in lossless image coding and lossless video coding applications.

关键词： integer transforms integer DCT integer WHT integer DST lifting lossless image/video coding

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