Shape-preserving knot removal

DOI10.1016/0167-8396(95)00029-1zbMath0900.68413OpenAlexW2050612862MaRDI QIDQ1350836

Sonya S. Stanley, Larry L. Schumaker

Publication date: 27 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(95)00029-1

zbMATH Keywords

Knot removalMonotone surfacesShape-preserving spline

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Spline approximation (41A15)

Related Items (4)

Fitting of Discrete Data with GERBS ⋮ Least squares splines with free knots: Global optimization approach. ⋮ Point data reconstruction and smoothing using cubic splines and clusterization ⋮ Circular Bernstein-Bézier spline approximation with knot removal

Cites Work

• An algorithm for segment approximation
• Knot removal for parametric B-spline curves and surfaces
• A fast ``Monte-Carlo cross-validation procedure for large least squares problems with noisy data
• A Remez type algorithm for spline functions
• A practical guide to splines
• A Newton-type method for computing best segment approximations
• Error analysis for piecewise quadratic curve fitting algorithms
• On Shape Preserving Quadratic Spline Interpolation
• A Data-Reduction Strategy for Splines with Applications to the Approximation of Functions and Data
• An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
• Fitting Monotone Surfaces to Scattered Data Using C1 Piecewise Cubics
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