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

G. Charith K. Abhayaratne

doi:10.1117/12.503572

23 June 2003 Orthonormal integer block transforms for lossless coding: design and performance analysis

G. Charith K. Abhayaratne

Proceedings Volume 5150, Visual Communications and Image Processing 2003; (2003) https://doi.org/10.1117/12.503572
Event: Visual Communications and Image Processing 2003, 2003, Lugano, Switzerland

Abstract

In this paper a general framework for N-point, where N is any positive integer power of 2, 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.

Citation Download Citation

G. Charith K. Abhayaratne "Orthonormal integer block transforms for lossless coding: design and performance analysis", Proc. SPIE 5150, Visual Communications and Image Processing 2003, (23 June 2003); https://doi.org/10.1117/12.503572

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