Knot removal for B-spline curves

DOI10.1016/0167-8396(94)00012-HzbMath0875.68838OpenAlexW2061767712MaRDI QIDQ673485

Matthias Eck, Jan Hadenfeld

Publication date: 28 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-8396(94)00012-h

zbMATH Keywords

B-spline curveKnot insertionBoundary constraintsContinuous \(L_{\infty}\)-approximationDiscrete \(L_{\infty}\)-approximationDiscrete \(L_{2}\)-approximationKnot removalRemes algorithm

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (9)

Converting a CAD model into a non-uniform subdivision surface ⋮ An error-bounded approximate method for representing planar curves in B-splines ⋮ Recursive representation and application of transformation matrices of B-spline bases ⋮ Enhanced floating isogeometric analysis ⋮ Fitting of Discrete Data with GERBS ⋮ Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis ⋮ A local fitting algorithm for converting planar curves to B-splines ⋮ Fast degree elevation and knot insertion for B-spline curves ⋮ Fast Algorithms for Adaptive Free Knot Spline Approximation Using Nonuniform Biorthogonal Spline Wavelets

Cites Work

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• A Data-Reduction Strategy for Splines with Applications to the Approximation of Functions and Data
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
• Degree reduction of Bézier curves

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