Matlab Routines for Refinable Functions/Vectors
This is a collection of Matlab 5 routines developed for
Sobolev and Holder smoothness computations of refinable functions.
The routines were developed based on the theory about the
smoothness of refinable functions in the following two papers
[JZ] (the scalar case) and [JJ] (the vector case), and
were explained and used in [JO].
[JZ] R. Q. Jia, S. R. Zhang, Spectral properties of the transition
operator associated to a multivariate refinement equation,
Linear Algebra Appl. 292 (1999), 155--178.
[JJ] R. Q. Jia, Q. T. Jiang,
Spectral analysis of the transition operator
and its applications to smoothness analysis of wavelets,
SIAM J. of Matrix Anal. and Appl. 24 (2003), 1071-1109.
sobsmth.ps,
sobsmth.pdf
[JO] Q. T. Jiang, P. Oswald,
Triangular sqrt(3)-subdivision schemes: the regular case,
J. Comp. Appl. Math. 156 (2003), 47-75.
sqrt3.ps,
sqrt3.pdf
These routines are free, but WITHOUT any warranty, not yet optimized
with respect to user interface, numerical stability and runtime efficiency.
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Downloading Instructions
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1. Click here to download regsoft.tar;
or click here to download regsoft.zip.
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2. Create a directory and untar the file there:
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3. Read README
for using the routines.
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Other Links
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Go to
Peter Oswald's
homepage for his Matlab routines for the smoothness of refinable functions.
Back to My Homepage