Nonseparable 2D orthogonal wavelets with vanishing moments

David Stanhill; Yehoshua Y. Zeevi

doi:10.1117/12.217629

1 September 1995 Nonseparable 2D orthogonal wavelets with vanishing moments

David Stanhill, Yehoshua Y. Zeevi

Proceedings Volume 2569, Wavelet Applications in Signal and Image Processing III; (1995) https://doi.org/10.1117/12.217629
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

We investigate a general subset of 2D, orthogonal, compactly supported wavelets. This subset, which has a simple parameterization, includes all wavelets with a corresponding wavelet (polyphase) matrix, that can be factored as a product of factors of degree--1, in one variable. In this paper we consider a particular wavelets with vanishing moments. The number of vanishing moments that can be achieved increases with the increase of the McMillan degrees of the wavelet matrix. We design wavelets with the maximal number of vanishing moments for given McMillan degrees, by solving a set of nonlinear constraints, and discuss their relation to regular, smooth wavelets. Design examples are given for two fundamental sampling schemes, the quincunx and the four-band separable sampling.

Citation Download Citation

David Stanhill and Yehoshua Y. Zeevi "Nonseparable 2D orthogonal wavelets with vanishing moments", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); https://doi.org/10.1117/12.217629

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