Shape preserving least-squares approximation by polynomial parametric spline curves

DOI10.1016/S0167-8396(97)00004-6zbMath0893.68156MaRDI QIDQ1389726

Bert Jüttler

Publication date: 30 June 1998

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

zbMATH Keywords

least-squares approximationparametric curveshape-preserving approximation\(B\)-spline curve

Mathematics Subject Classification ID

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

Related Items (5)

Geometric construction of spline curves with tension properties ⋮ Shape-preserving interpolation on surfaces via variable-degree splines ⋮ Shape preserving approximation by spatial cubic splines ⋮ Locally optimal knots and tension parameters for exponential splines ⋮ A local fitting algorithm for converting planar curves to B-splines

Uses Software

• FITPACK

Cites Work

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• A dual algorithm for convex-concave data smoothing by cubic \(C^ 2\)- splines
• An algorithm for computing constrained smoothing spline functions
• An algorithm for cubic spline fitting with convexity constraints
• Spline smoothing under constraints on derivatives
• Least squares data fitting using shape preserving piecewise approximations
• Inflections on curves in two and three dimensions
• Smoothing and Interpolation in a Convex Subset of a Hilbert Space

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