<title>Wavelet image compression using IIR minimum variance filters, partition priority, and multiple distribution entropy coding</title>

Abstract

Image compression methods for progressive transmission using optimal subband/wavelet decomposition, partition priority coding (PPC) and multiple distribution entropy coding (MDEC) are presented. In the proposed coder, hierarchical wavelet decomposition of the original image is achieved using wavelets generated by liii minimum variance filters. The smoothed subband coefficients are coded by an efficient triple state DPCM coder and the corresponding prediction error is Lloyd-Max quantized. The detail coefficients are coded using a novel hierarchical PPC (HPPC) approach. That is, given a suitable partitioning of their absolute range, the detail coefficients are ordered based on their decomposition level and magnitude, and the address map is appropriately coded. Finally, adaptive MDEC is applied to both the DPCM and HPPC outputs by considering a division of the source of the quantized coefficients into multiple subsources and adaptive arithmetic coding based on their corresponding histograms.

<title>Causal stable matched IIR wavelets and perfect reconstruction filter banks</title>

“…We need to satisfy equation (6) to have orthogonality between the scaling and the wavelet filters. We also need to satisfy the orthogonality condition in equation (3), and the high pass property ofequation (9).…”

“…and H(z1)G(z)+H(z1)G(z)=O (6) H(z1 )G(z) +H(-z1 )((z) = 0 To remove aliasing and guarantee Perfect Reconstruction (PR), the relationship between the analysis and synthesis filters is given by [1 1):…”

Disparity field and depth map coding for multiview 3D image generation

“…Alternately, each component may be coded according to the JPEG standard. Wavelet=subband techniques [11,27] for the coding of disparity ÿeld information were examined as a third alternative. More speciÿcally the ÿlters described in [11] were used to obtain a hierarchical decomposition of each disparity ÿeld into three levels.…”