Re: Continuous Wavelet Transform?
- To: mathgroup at smc.vnet.net
- Subject: [mg22478] Re: Continuous Wavelet Transform?
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Wed, 8 Mar 2000 02:22:16 -0500 (EST)
- Organization: University of Western Australia
- References: <89sr0u$dge@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Mark Kotanchek wrote: > I have Wavelet Explorer; however, it lacks a continuous wavelet transform > which would be handy to visually study the subtleties of my data. Before I > start down the path of writing one myself, I figured I'd check to see if one > had already been developed out there in cyberspace. Since the CWT involves integration, why not use Integrate or NIntegrate directly? > It appears there isn't much in the way of interest in the Mathematica > community on wavelets & applications; is that a correct assumption? If not, > where should I be looking? There is some interest. See, e.g., Mark Maslen 1997 Wavelet Transforms via Lifting Alistair Rowe 1994 Applications of Wavelets Maslen M and Abbott P C 1999 Automation of the Lifting Factorisation of Wavelet Transforms, Computer Physics Communications, in press Rowe A and Abbott P C 1995 Daubechies Wavelets and Mathematica, Computers in Physics 9 635-48 at http://www.physics.uwa.edu.au/~paul/publications.html. There are also some Mathematica postings on the Wavelet Digest <http://www.wavelet.org/>. > Finally, for those of you who wish the PhaseSpacePlot[] function were in > color rather than grayscale, copying the function out of the Wavelet > Explorer package into a PhaseSpacePlotColor[] function and adding > "ColorFunction -> ( Hue[0.667(#)] &)" as options within the two Raster[] > functions, will generate visuals that are much more presentable. > Unfortunately, the bug in Raster[] on non-logarithmic scales remains. :-( I've Cc:d this to the Wavelet Explorer developer, Yu He <yu at wolfram.com>. Cheers, Paul