Convexity and positivity of bivariate quadratic Bézier surfaces over a rectangle

DOI10.1007/s11741-001-0021-9zbMath0988.68208OpenAlexW2146189899MaRDI QIDQ2741565

Youdong Ding

Publication date: 25 March 2002

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-001-0021-9

zbMATH Keywords

discriminantsBézier surface

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Cites Work

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• The convexity of quadratic parametric triangular Bernstein-Bézier surfaces
• The convexity of Bernstein polynomials over triangles
• An improved condition for the convexity of Bernstein-Bézier surfaces over triangles
• Nonnegativity of bivariate quadratic functions on a triangle
• Nonnegative quadratic Bézier triangular patches
• On the convexity of parametric Bézier triangular surfaces

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