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TW 564
Larry L. Schumaker and Hendrik SpeleersConvexity preserving splines over triangulations
Abstract
A general method is given for constructing sets of sufficient linear conditions that ensure convexity of a polynomial in Bernstein-Bézier form on a triangle. Using the linear conditions, computational methods based on macro-element spline spaces are developed to construct convexity preserving splines over triangulations that interpolate or approximate given scattered data.
report.pdf (310K) / mailto: H. Speleers