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TW 515
Hendrik Speleers, Paul Dierckx, Stefan Vandewalle
On the graphical display of Powell-Sabin splines: a comparison of three piecewise linear approximations
Abstract
Powell-Sabin splines are C1-continuous piecewise quadratic polynomials defined on arbitrary triangulations. They admit a compact representation in a normalized B-spline basis with a geometric interpretation involving control triangles. This paper discusses several piecewise linear approximations for the graphical display of Powell-Sabin splines. We analyse their approximation error to the spline surface, measured in the max-norm.
report.pdf (345K) / mailto: H. Speleers