Matlab Routines for Regularity of 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.
• Downloading Instructions
• 1. Click here to download regsoft.tar;
or click here to download regsoft.zip.
• 2. Create a directory and untar the file there:
  tar -xvf regsoft.tar
  or unzip regsoft.zip
• 3. Read README
for using the routines.
• Other Links
• Go to Peter Oswald's
homepage for his Matlab routines for the smoothness of refinable functions.




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