Constrained multi-degree reduction of Bézier surfaces using Jacobi polynomials

DOI10.1016/j.cagd.2008.10.003zbMath1205.65114OpenAlexW2035556567MaRDI QIDQ625178

Lian Zhou, Guo-Jin Wang

Publication date: 15 February 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2008.10.003

zbMATH Keywords

Jacobi polynomialsBézier surfacesexplicit expressionmulti-degree reductionboundary constraintspartitional matrices

Mathematics Subject Classification ID

Applications of hypergeometric functions (33C90) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (9)

Modified Jacobi-Bernstein basis transformation and its application to multi-degree reduction of Bézier curves ⋮ Constrained multi-degree reduction with respect to Jacobi norms ⋮ Improvement on constrained multi-degree reduction of Bézier surfaces using Jacobi polynomials ⋮ Constrained multi-degree reduction of triangular Bézier surfaces ⋮ 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 multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials ⋮ An explicit method for \(G^3\) merging of two Bézier curves

Cites Work

• Multi-degree reduction of tensor product Bézier surfaces with conditions of corners interpolations
• Constrained Bézier curves' best multi-degree reduction in the \(L_2\)-norm
• Matrix representation for multi-degree reduction of Bézier curves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Constrained multi-degree reduction of Bézier surfaces using Jacobi polynomials