Multi-degree reduction of tensor product Bézier surfaces with general boundary constraints

DOI10.1016/J.AMC.2010.11.011zbMath1215.65033OpenAlexW1983275457MaRDI QIDQ621006

Stanisław Lewanowicz, Paweł Woźny

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.011

zbMATH Keywords

algorithmcontinuityboundary conditionsnumerical examplesBernstein polynomialsJacobi polynomialscontrol pointscomputer aided geometric designHahn polynomialsmulti-degree reductionBézier curves and surfacesboundary control polygonconstrained dual Bernstein polynomialsrectangular Bézier patch

Mathematics Subject Classification ID

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

Related Items (9)

Total positivity and accurate computations with Gram matrices of Bernstein bases ⋮ Polynomial approximation of rational Bézier curves with constraints ⋮ Explicit \(G^2\)-constrained degree reduction of Bézier curves by quadratic optimization ⋮ Gram matrix of Bernstein basis: properties and applications ⋮ Efficient merging of multiple segments of Bézier curves ⋮ Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials ⋮ Simple algorithms for computing the Bézier coefficients of the constrained dual Bernstein polynomials ⋮ Construction of dual \(B\)-spline functions ⋮ \(G^{k,l}\)-constrained multi-degree reduction of Bézier curves

Cites Work

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• Constrained multi-degree reduction of Bézier surfaces using Jacobi polynomials
• Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
• Multi-degree reduction of triangular Bézier surfaces with boundary constraints
• Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials
• Dual generalized Bernstein basis
• Multi-degree reduction of tensor product Bézier surfaces with conditions of corners interpolations
• A note on constrained degree reduction of polynomials in Bernstein-Bézier form over simplex domain
• Distance for degree raising and reduction of triangular Bézier surfaces
• Approximating tensor product Bézier surfaces with tangent plane continuity
• A novel algorithm for explicit optimal multi-degree reduction of triangular surfaces
• Optimal multi-degree reduction of triangular Bézier surfaces with corners continuity in the norm \(L_{2}\)
• Constrained degree reduction of polynomials in Bernstein-Bézier form over simplex domain
• L-2 DEGREE REDUCTION OF TRIANGULAR BÉZIER SURFACES WITH COMMON TANGENT PLANES AT VERTICES
• Contiguous Hypergeometric Functions of the Type ₃F₂(1)

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