Monotonicity preservation on triangles

DOI10.1090/S0025-5718-99-01176-XzbMath0954.41004OpenAlexW1996092913MaRDI QIDQ4501037

Michael S. Floater, Juan Manuel Peña

Publication date: 3 September 2000

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01176-x

zbMATH Keywords

monotonicitycontrolshape preservationsbivariate Bernstein polynomial

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

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Cites Work

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• Further variation diminishing properties of Bernstein polynomials on triangles
• Multivariate Bernstein polynomials and convexity
• Variation diminishing properties of Bernstein polynomials on triangles
• Shape preserving representations and optimality of the Bernstein basis
• Convexity of rational curves and total positivity
• On the optimal stability of the Bernstein basis