Conditions for geometric continuity between polynomial and rational surface patches

DOI10.1016/0167-8396(96)00006-4zbMath0875.68879OpenAlexW2058387119MaRDI QIDQ671722

Przemysław Kiciak

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(96)00006-4

zbMATH Keywords

Bézier curvesBézier patchesCurvature continuityGeometric continuityPolynomial curvesPolynomial patchesRational curvesRational patchesTangent plane continuity

Mathematics Subject Classification ID

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

Related Items (3)

Approximating tensor product Bézier surfaces with tangent plane continuity ⋮ Geometric approximation of the sphere by triangular polynomial spline patches ⋮ RAGS: rational geometric splines for surfaces of arbitrary topology

Cites Work

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• Constructions of \(G^{1}\) continuous joins of rational Bézier patches
• \(GC^{n}\) continuity conditions for adjacent rational parametric surfaces
• GC\({}^ 1\) continuity conditions between two adjacent rational Bézier surface patches
• Explicit continuity conditions for adjacent Bézier surface patches
• A survey of curve and surface methods in CAGD
• Curvature continuity between adjacent rational Bézier patches
• Visually smooth composite surfaces for an unevenly spaced 3D data array
• Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems

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