Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials

DOI10.1016/j.cam.2010.07.005zbMath1213.65029OpenAlexW2163010384MaRDI QIDQ708299

Paweł Woźny, Stanisław Lewanowicz

Publication date: 11 October 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.07.005

zbMATH Keywords

algorithmcontinuitynumerical examplesBernstein polynomialsconstraintscontrol pointscomputer aided geometric designmulti-degree reductionBézier curves and surfacesBézier triangular patchbivariate dual Bernstein polynomialsbivariate Hahn polynomialsbivariate Jacobi polynomials

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

Bézier form of dual bivariate Bernstein polynomials ⋮ Multi-degree reduction of tensor product Bézier surfaces with general boundary constraints ⋮ Explicit algorithms for multiwise merging of Bézier curves ⋮ Explicit \(G^2\)-constrained degree reduction of Bézier curves by quadratic optimization ⋮ Constrained approximation of rational triangular Bézier surfaces by polynomial triangular Bézier surfaces ⋮ Simple algorithms for computing the Bézier coefficients of the constrained dual Bernstein polynomials ⋮ Construction of dual \(B\)-spline functions ⋮ An explicit method for \(G^3\) merging of two Bézier curves

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• Contiguous Hypergeometric Functions of the Type ₃F₂(1)

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