Constructing \(C^{1}\) triangular patch of degree six by the Boolean sum of an approximation operator and an interpolation operator

DOI10.1016/j.apm.2011.02.019zbMath1221.65047OpenAlexW2041989846MaRDI QIDQ639183

Juan-Miguel Gracia

Publication date: 18 September 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.02.019

zbMATH Keywords

boundary conditionstriangular patchinfinite interpolation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation algorithms (68W25) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Fitting curves and surfaces to point clouds in the presence of obstacles
• Smooth interpolation in triangles
• Constructing triangular patch by basic approximation operator plus additional interpolation operator
• A pentagonal surface patch for computer aided geometric design
• Highlight-line algorithm for realtime surface-quality assessment
• Triangular \(G^{1}\) interpolation by 4-splitting domain triangles
• Geometric surface patches without twist constraints

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