Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/17049
Title: Product Integral Binding Coefficients for High-order Wavelets
Authors: MICHIELS, Nick 
PUT, Jeroen 
BEKAERT, Philippe 
Issue Date: 2014
Source: Proceedings of the 11th International Conference on Signal Processing and Multimedia Applications.
Abstract: This paper provides an efficient algorithm to calculate product integral binding coefficients for a heterogeneous mix of wavelet bases. These product integrals are ubiquitous in multiple applications such as signal processing and rendering. Previous work has focused on simple Haar wavelets. Haar wavelets excel at encoding piecewise constant signals, but are inadequate for compactly representing smooth signals for which high-order wavelets are ideal. Our algorithm provides an efficient way to calculate the tensor of these binding coefficients. The algorithm exploits both the hierarchical nature and vanishing moments of the wavelet bases, as well as the sparsity and symmetry of the tensor. We demonstrate the effectiveness of high-order wavelets with a rendering application. The smoother wavelets represent the signals more effectively and with less blockiness than the Haar wavelets of previous techniques.
Keywords: wavelets; signal processing; product integrals; tensor; rendering
Document URI: http://hdl.handle.net/1942/17049
ISBN: 9789898565969
DOI: 10.5220/0005013300170024
ISI #: 000411790800007
Category: C1
Type: Proceedings Paper
Validations: ecoom 2019
vabb 2018
Appears in Collections:Research publications

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