Integer Orthogonal Transforms: Design, Fast algorithms, and Applications

摘要

The paper is devoted to design, fast implementation and applications of a family of 8-points integer orthogonal transforms based on a parametric matrix. A unified algorithm for their efficient computations is developed. Derived fast transforms have close coding gain performance to the optimal Karhunen-Loeve transform for the first order Markov process. Among them are also such that closely approximate the DCT-II and, at the same time, have a larger coding gain. For a particular set of parameters, integer transforms with reduced computational complexity are obtained. The comparative analysis of these transforms with the DCT-II in the framework of image denoising and video coding is performed.