A family of M-band wavelets with non-zero centered vanishing moments

Jouni Sampo

doi:10.1117/12.504420

28 January 2004 A family of M-band wavelets with non-zero centered vanishing moments

Jouni Sampo

Proceedings Volume 5208, Mathematics of Data/Image Coding, Compression, and Encryption VI, with Applications; (2004) https://doi.org/10.1117/12.504420
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

In this paper the new family of orthogonal compactly supported M-band wavelets is presented. This family is similar to Coiflets since scaling function and all wavelet functions have equal number of vanishing moments. However, the center of these vanishing moments can differ from zero. Equivalent moment conditions are given also for scaling filter. Finally, estimate for asymptotic convergence speed of wavelet sampling approximation of smooth functions is given.

Citation Download Citation

Jouni Sampo "A family of M-band wavelets with non-zero centered vanishing moments", Proc. SPIE 5208, Mathematics of Data/Image Coding, Compression, and Encryption VI, with Applications, (28 January 2004); https://doi.org/10.1117/12.504420

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