Point-normal interpolation schemes reproducing spheres, cylinders and cones

DOI10.1016/j.cagd.2007.03.007zbMath1171.65354OpenAlexW2031322648MaRDI QIDQ733420

Jörg Stiller

Publication date: 16 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.03.007

zbMATH Keywords

interpolationrational curvesgeometric continuitysurface patch

Mathematics Subject Classification ID

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

Uses Software

• CONSURF

Cites Work

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• Local smooth surface interpolation: A classification
• Smooth interpolation in triangles
• The octant of a sphere as a non-degenerate triangular Bézier patch
• The side-vertex method for interpolation in triangles
• A \(G^ 1\) triangular spline surface of arbitrary topological type
• Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\)
• Curves with quadric boundary precision
• On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
• Simple local interpolation of surfaces using normal vectors

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