Approximate conversion of rational splines

DOI10.1016/0167-8396(89)90018-6zbMath0686.65005OpenAlexW2066347618MaRDI QIDQ1262691

Nicholas M. Patrikalakis

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-8396(89)90018-6

zbMATH Keywords

algorithmdegree reductiongeometric modelingglobal error boundsnon-uniform rational B-spline curvesconversionsknot refinementB-spline curves and surfacesexchange of datanon-uniform integral B-spline curvesrational Bézier curves and surfaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Spline approximation (41A15) Algorithms for approximation of functions (65D15)

Related Items

Topologically reliable approximation of composite Bézier curves, Application of degree reduction of polynomial Bézier curves to rational case, An error-bounded approximate method for representing planar curves in B-splines, Geometric Hermite interpolation, High-order approximation of conic sections by quadratic splines, Approximation of high-degree and procedural curves, An automatic coarse and fine surface mesh generation scheme based on medial axis transform. I: Algorithms, An automatic coarse and fine surface mesh generation scheme based on medial axis transform. II: Implementation, \(C^1\) interpolating Bézier path on Riemannian manifolds, with applications to 3D shape space, A local fitting algorithm for converting planar curves to B-splines, Approximate conversion of rational B-spline patches

Cites Work

• Approximate conversion of surface representations with polynomial bases
• A survey of curve and surface methods in CAGD
• A practical guide to splines
• Approximate conversion of rational B-spline patches
• On calculating with B-splines
• Algorithms for degree-raising of splines
• Polya’s Urn Model and Computer Aided Geometric Design