On convexity of piecewise polynomial functions on triangulations

Author:

Grandine Thomas A.

Publisher

Elsevier BV

Subject

Computer Graphics and Computer-Aided Design,Aerospace Engineering,Automotive Engineering,Modeling and Simulation

Reference12 articles.

1. On the dimension of multivariate piecewise polynomials;Alfeld,1985

2. The dimension of bivariate spline spaces of smoothness r for degree d⩾4r+1;Alfeld;Construction Approximation,1987

3. B-Form Basics;de Boor,1987

4. The convexity of Bernstein polynomials over triangles;Chang;J. Approximation Theory,1984

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1. On the convexity of piecewise-defined functions;ESAIM: Control, Optimisation and Calculus of Variations;2016-04-27

2. Convexity preserving C 0 splines;Advances in Computational Mathematics;2013-04-23

3. Convexity preserving splines over triangulations;Computer Aided Geometric Design;2011-05

4. Convexity preserving scattered data interpolation using Powell–Sabin elements;Computer Aided Geometric Design;2009-10

5. Convex preserving scattered data interpolation using bivariate C1 cubic splines;Journal of Computational and Applied Mathematics;2000-07

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