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Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation


Author(s) : P. R. Pfluger M. Neamtu, 
Publisher : N/A
Publication Date : 1994
ISSN : N/A
Abstract : The problem of interpolating scattered 3D data by a geometrically smooth surface is considered. A completely local method is proposed, based on employing degenerate triangular Bernstein--B'ezier patches. An analysis of these patches is given and some numerical experiments with quartic and quintic patches are presented. Key words: Local interpolation in IR 3, Geometric smoothness, Bernstein--B'ezier representation, Degenerate polynomial triangular patches,