Wavelets : Coifman and Pseudo-Coifman

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Hello,

What is the difference between those tyo wavelets ? Why is it called the Pseudo-Coifman ? Is it an Igor-specific wavelet ?

Thank you in advance !
Hello Nasser,

I wish we could take credit for these wavelets but alas they have been established in the literature long before IGOR's implementation of DWT.

You can read more about the Pseudo-Coifman here: Reissell, "Multiresolution Geometric Algorithms Using Wavelets I: Representation for Parametric Curves and Surfaces", UBC TR 93-17, p. 33.

The regular Coifman wavelets are described here: Beylkin, Coifman, and Rokhlin "Fast Wavelet Transforms and Numerical Algorithms I", Comm. Pure Appl. Math, v. 44, Appendix A.

I hope this helps,

A.G.
WaveMetrics, Inc.

July 22, 2010 at 09:07 am - Permalink