Orthogonality and Zero DC Tradeoffs in Biorthogonal Graph Filterbanks
Dion Eustathios Olivier Tzamarias, Eduardo Pavez, Benjamin Girault, Antonio Ortega, Ian Blanes, Joan Serra-Sagristà
Abstract
Biorthogonal graph wavelet filterbanks, also known as GraphBior, are one of the most popular graph transforms used in image compression, but up to now, they could be designed based on two known admissible fundamental matrices: i) the random walk Laplacian, which heavily penalizes low degree pixels, and ii) the normalized Laplacian, which lacks a zero-DC response. By exploiting a new extension of the admissibility condition in GraphBior we propose a new fundamental matrix with the goal of distributing the errors of GraphBior more uniformly across pixels with different node degrees. Furthermore the proposed matrix preserves high energy compaction linked to the zero-DC GraphBior variation.
BibTeX
@inproceedings{icassp2021_orthogonalityand,
title = {Orthogonality and Zero DC Tradeoffs in Biorthogonal Graph Filterbanks},
author = {Dion Eustathios Olivier Tzamarias and Eduardo Pavez and Benjamin Girault and Antonio Ortega and Ian Blanes and Joan Serra-Sagristà},
booktitle = {ICASSP 2021},
year = {2021}
}