Title: Uniform Powell-Sabin spline wavelets
Authors: Windmolders, Joris ×
Vanraes, Evelyne
Dierckx, Paul
Bultheel, Adhemar
Issue Date: Feb-2002
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW335
Abstract: This paper discusses how the subdivision scheme for uniform Powell-Sabin spline surfaces makes it possible to place those surfaces in a multiresolution context. We first show that the basis functions are translates and dilates of one vector of scaling functions. This defines a sequence of nested spaces. We then use the subdivision scheme as the prediction step in the lifting scheme and add an update step to construct wavelets that describe a sequence of complement spaces. Finally, as an example application, we use the new wavelet transform to reduce noise on a uniform Powell-Sabin spline surface.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author

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