A geometric interpretation of convexity conditions for surfaces

Author:

Barnhill R.E.,Whelan T.

Publisher

Elsevier BV

Subject

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

Reference5 articles.

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

2. An improved condition for the convexity of Bernstein-Bézier surfaces over triangles;Chang;Computer Aided Geometric Design,1984

3. Bézier polynomials over triangles and the construction of piecewise Cr polynomials;Farin,1980

4. Computational Geometry for Design and Manufacture;Faux,1979

5. Hoschek, J. (1984), Private communication.

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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

2. References;Handbook of Splines;1999

3. Surface fitting using convex Powell—Sabin splines;Journal of Computational and Applied Mathematics;1994-12

4. Convexity of parametric Bézier surfaces in terms of Gaussian curvature signatures;Advances in Computational Mathematics;1994-09

5. The convexity of parametric Bézier triangular patches of degree 2;Computer Aided Geometric Design;1993-12

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