Shape criteria of Bernstein-Bézier polynomials over simplexes

DOI10.1016/0898-1221(95)00110-7zbMath0837.68123OpenAlexW2026987614MaRDI QIDQ1904187

Yanyan Li

Publication date: 18 December 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00110-7

zbMATH Keywords

monotonicityconvexitypositivityBernstein-Bézier polynomials over simplexes

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Spline approximation (41A15) Approximation by other special function classes (41A30)

Related Items (1)

Convexity preserving splines over triangulations

Cites Work

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• An improved condition for the convexity and positivity of Bernstein- Bézier surfaces over triangles
• The convexity of Bernstein polynomials over triangles
• Convexity of Bézier nets on triangulations
• An improved condition for the convexity of Bernstein-Bézier surfaces over triangles
• Multivariate Bernstein polynomials and convexity
• Nonnegativity of bivariate quadratic functions on a triangle
• Variation diminishing properties of Bernstein polynomials on triangles
• On copositive matrices

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