Paper ID | SPTM-20.2 | ||
Paper Title | ORTHOGONALITY AND ZERO DC TRADEOFFS IN BIORTHOGONAL GRAPH FILTERBANKS | ||
Authors | Dion E.O. Tzamarias, Universitat Autònoma de Barcelona, Spain; Eduardo Pavez, University of Southern California, United States; Benjamin Girault, Université de Rennes, ENSAI, France; Antonio Ortega, University of Southern California, United States; Ian Blanes, Joan Serra-Sagristà, Universitat Autònoma de Barcelona, Spain | ||
Session | SPTM-20: Signal Processing over Graphs and Sparsity-Aware Signal Processing | ||
Location | Gather.Town | ||
Session Time: | Friday, 11 June, 11:30 - 12:15 | ||
Presentation Time: | Friday, 11 June, 11:30 - 12:15 | ||
Presentation | Poster | ||
Topic | Signal Processing Theory and Methods: [SIPG] Signal and Information Processing over Graphs | ||
IEEE Xplore Open Preview | Click here to view in IEEE Xplore | ||
Abstract | Biorthogonal graph wavelet filterbanks, also known as GraphBior, are one of the most popular graph transforms used in image com- pression, 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. |