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Abstract: Because
B-Spline basis functions and corresponding wavelets are lack of
translation orthogonality, rapid Mallat algorithm does not work for this
kind of wavelets analysis. Decomposition and reconstruction algorithm of
semi- orthogonal B-Spline wavelets is obtained by strict mathematical
deduction based on definition of B-Spline basis function and
multiresolution analysis. And its application to Quadi-Uniform Cubic B-Spline
is expatiated in details. This algorithm is applied to decomposition and
reconstruction of complicated curve and surface and proved to be
practicable to fairing of complicated curve and surface.
Key words: B-Spline
curve Multiresolution analysis Decomposition and reconstruction
Wavelets Computer graphics
CLC No: TP391.41
国防“十五”预先研究资助项目(41318.1.1.7). Received 20051207, received in
revised form 20060228
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