Visually smooth composite surfaces for an unevenly spaced 3D data array

DOI10.1016/0167-8396(93)90018-XzbMath0780.65006OpenAlexW2053030479MaRDI QIDQ1803689

Yanyan Li

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0167-8396(93)90018-x

zbMATH Keywords

geometric continuityinterpolation schemecomposite surfaceBézier patchesisoparametric curvespoint data interpolation

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Analysis and avoidance of singularities for local \(G^{1}\) surface interpolation of Bézier curve network with 4-valent nodes ⋮ Curvature continuous interpolation of curve meshes ⋮ A weighted bivariate blending rational interpolation based on function values ⋮ Conditions for geometric continuity between polynomial and rational surface patches ⋮ Constructions of \(G^{1}\) continuous joins of rational Bézier patches

Cites Work

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• Increasing the smoothness of bicubic spline surfaces
• A survey of curve and surface methods in CAGD
• \(G^ 1\) interpolation of generally unrestricted cubic Bézier curves
• Local surface interpolation with Bézier patches
• \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
• Triangulation of scattered data in 3D space
• A construction for visualC1 continuity of polynomial surface patches
• Multivariable Curve Interpolation

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