Linear convexity conditions for rectangular and triangular Bernstein-Bézier surfaces

DOI10.1016/S0167-8396(97)81783-9zbMath0894.68151OpenAlexW2041774687MaRDI QIDQ1389405

J. M. Carnicer, Michael S. Floater, Juan Manuel Peña

Publication date: 30 June 1998

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-8396(97)81783-9

zbMATH Keywords

Bernstein-Bézier surfaces

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

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Evaluation algorithms for multivariate polynomials in Bernstein-Bézier form, The conditions of convexity for Bernstein-Bézier surfaces over triangles, Finite-time stabilization of periodic orbits for under-actuated biped walking with hybrid zero dynamics, Triangular domain extension of algebraic trigonometric Bézier-like basis, Convexity preserving splines over triangulations, Convex preserving scattered data interpolation using bivariate \(C^1\) cubic splines

Cites Work

• The convexity of Bernstein polynomials over triangles
• An improved condition for the convexity of Bernstein-Bézier surfaces over triangles
• A new proof for the convexity of the Bernstein-Bézier surfaces over triangles
• A weak condition for the convexity of tensor-product Bézier and B- spline surfaces
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