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Proceedings Paper

Two-dimensional continuous wavelet transform as linear phase space representation of two-dimensional signals
Author(s): Romain Murenzi; Jean-Pierre Antoine
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Paper Abstract

The 2-D continuous wavelet transform (CWT) has been used by a number of authors, in a wide variety of physical problems.1 - 3 In all cases, its main purpose is the analysis of images, that is, the detection of specific features such as hierarchical structures or particular discontinuities, edges, filaments, contours, boundaries between areas of different luminosity, etc. Of course, the type of wavelet chosen depends on the precise aim. In fact, the 2-D CWT is based on the 2-D dimensional Euclidean group with dilations, the scr-called twcr-dimensional similitude group, SIM(2).4 It is the purpose of this paper to explore this connection further and draw some of its practical consequences.

Paper Details

Date Published: 3 April 1997
PDF: 12 pages
Proc. SPIE 3078, Wavelet Applications IV, (3 April 1997); doi: 10.1117/12.271720
Show Author Affiliations
Romain Murenzi, Clark Atlanta Univ. (United States)
Jean-Pierre Antoine, Univ. Catholique de Louvain (Belgium)

Published in SPIE Proceedings Vol. 3078:
Wavelet Applications IV
Harold H. Szu, Editor(s)

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