Shape preserving interpolation by space curves

DOI10.1016/S0167-8396(97)81781-5zbMath0891.68115OpenAlexW2091353337MaRDI QIDQ1389402

Boon-Hua Ong, Tim N. T. Goodman

Publication date: 29 June 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(97)81781-5

zbMATH Keywords

interpolationsplinesspace curveshape preservingrational cubic

Mathematics Subject Classification ID

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

Related Items (12)

A biarc based subdivision scheme for space curve interpolation ⋮ Constructing fair curves and surfaces with a Sobolev gradient method ⋮ Shape preserving interpolation by space curves ⋮ Shape-preserving interpolation on surfaces via variable-degree splines ⋮ Shape preserving approximation by spatial cubic splines ⋮ Interpolation with slackness and continuity control and convexity-preservation using singular blending ⋮ A new approach for shape preserving interpolating curves ⋮ Shape-preserving, first-derivative-based parametric and nonparametric cubic \(L_{1}\) spline curves ⋮ Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics ⋮ Shape-preserving interpolation by fair discrete \(G^3\) space curves ⋮ Interactive shape preserving interpolation by curvature continuous rational cubic splines ⋮ Shape preserving \(F^{3}\) curve interpolation

Cites Work

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• Derivatives of rational Bézier curves
• Coils
• Shape preserving interpolation by space curves
• Inflections on curves in two and three dimensions
• Convexity-Preserving Polynomial Splines of Non-uniform Degree
• Shape-preserving interpolation in R3

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