Dual frame symmetric wavelets with limited redundancy

Farras Abdelnour

doi:10.1117/12.825653

4 September 2009 Dual frame symmetric wavelets with limited redundancy

Farras Abdelnour

Proceedings Volume 7446, Wavelets XIII; 744610 (2009) https://doi.org/10.1117/12.825653
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

Abstract

In this paper we explore the design of 5-band dual frame (overcomplete) wavelets with a dilation factor M = 4. The resulting limit functions are significantly smoother than their orthogonal counterparts at the same dilation factor. An advantage of the proposed filters over the dyadic filterbanks (M = 2) is that the proposed filterbanks result in a reduced redundancy when compared with dyadic frames, while maintaining smoothness. The proposed filterbanks are symmetric and generate four wavelets and a scaling function for each the synthesis and analysis limit functions. All wavelets are equipped with at least one vanishing moment each.

Citation Download Citation

Farras Abdelnour "Dual frame symmetric wavelets with limited redundancy", Proc. SPIE 7446, Wavelets XIII, 744610 (4 September 2009); https://doi.org/10.1117/12.825653

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