## Bin Han's Software Page

[Teaching] [Research] [Publication] [Software] [Wavelets]

Maple Routines for Constructing Pairs of Dual Wavelet Frames
Format of program: Maple 7.0 routines
• dwf Maple routines for constructing dual wavelet frames from two d-refinable functions
Related papers:

Computing Smoothness of Refinable Functions Uisng Symmetry
Format of program:
• C programs calling MATLAB routine eig for computing eigenvalues.
• makefile
• d1sm.c To compute the Sobolev smoothness and the Hoelder smoothness (when the symbol of the mask is nonnegative) of symmetric refinable functions in 1D with a dilation factor by taking the advantages of the symmetry of the refinable functions. It can also handle masks without symmetry.
• d2sm.c To compute the Sobolev smoothness and the Hoelder smoothness (when the symbol of the mask is nonnegative) of symmetric refinable functions in 2D with a dilation matrix by taking the advantages of the symmetry of the refinable functions. It can also handle masks without symmetry.
• oldsm.c. Computing Sobolev smoothness for 1D/2D/3D symmetric refinable functions with dilation matrix 2I.
• butterfly. An example of the format of the input 2D mask for Butterfly.
Related papers:
Other pointers:
• Matlab routines by Peter Oswald
• Matlab rountines by Qing-Tang Jiang
• Matlab routines with interface the IGPM Villemoes Machine by the group at RWTH, Germany
• Comments: Symmetry of the refinable functions is not taken into account in computation in the above programs. If you know other pointers on computing smoothness of a refinable function, please email me.

CBC Algorithms for Constructing Multivariate Biorthogonal Multiwavelets
Format of program: Maple 6.0 routines