Title: Surface compression with hierarchical Powell-Sabin B-splines
Authors: Maes, Jan ×
Bultheel, Adhemar #
Issue Date: Mar-2006
Publisher: World Scientific
Series Title: International Journal of Wavelets, Multiresolution and Information Processing vol:4 issue:1 pages:177-196
Abstract: We show how to construct a stable hierarchical basis for piecewise quadratic C-1 continuous splines defined on Powell-Sabin triangulations. We prove that this hierarchical basis is well suited for compressing surfaces. Our compression method does not require the construction of wavelets which are usually expensive to compute, but instead we use a stable quasi-interpolation scheme that achieves optimal approximation order. Numerical experiments demonstrate the high compression rate of the algorithm.
ISSN: 0219-6913
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
Solid State Physics and Magnetism Section
Research Centre for Organisation Studies, Leuven
Mechanical Engineering - miscellaneous
× corresponding author
# (joint) last author

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