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Authors: Nick Michiels ; Jeroen Put and Philippe Bekaert

Affiliation: Hasselt University - tUL - iMinds and Expertise Centre for Digital Media, Belgium

Keyword(s): Wavelets, Signal Processing, Product Integrals, Tensor, Rendering.

Related Ontology Subjects/Areas/Topics: 3D Virtual Environments and Surveillance Applications ; Image and Video Processing, Compression and Segmentation ; Interactive Multimedia: Games and Digital Television ; Multidimensional Signal Processing ; Multimedia ; Multimedia and Communications ; Multimedia Signal Processing ; Multimedia Systems and Applications ; Telecommunications

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.

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Paper citation in several formats:
Michiels, N.; Put, J. and Bekaert, P. (2014). Product Integral Binding Coefficients for High-order Wavelets. In Proceedings of the 11th International Conference on Signal Processing and Multimedia Applications (ICETE 2014) - SIGMAP; ISBN 978-989-758-046-8, SciTePress, pages 17-24. DOI: 10.5220/0005013300170024

@conference{sigmap14,
author={Nick Michiels. and Jeroen Put. and Philippe Bekaert.},
title={Product Integral Binding Coefficients for High-order Wavelets},
booktitle={Proceedings of the 11th International Conference on Signal Processing and Multimedia Applications (ICETE 2014) - SIGMAP},
year={2014},
pages={17-24},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005013300170024},
isbn={978-989-758-046-8},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Signal Processing and Multimedia Applications (ICETE 2014) - SIGMAP
TI - Product Integral Binding Coefficients for High-order Wavelets
SN - 978-989-758-046-8
AU - Michiels, N.
AU - Put, J.
AU - Bekaert, P.
PY - 2014
SP - 17
EP - 24
DO - 10.5220/0005013300170024
PB - SciTePress

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