Geometric interpolants with different degrees of smoothness

DOI10.1080/00207160802635352zbMath1210.65051OpenAlexW2003467705MaRDI QIDQ5747729

Ren-Hong Wang, Chun-Gang Zhu

Publication date: 14 September 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802635352

zbMATH Keywords

geometric continuitygeometric designgeometric interpolationfunctional splineimplicit algebraic curvescurve/surface modeling

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Geometric continuity
• Blending of implicit surfaces with functional splines
• \(G^{2}\)-cubic contours.
• On the convexity of functional splines
• Curve reconstruction from unorganized points
• \(G^{n-1}\)-functional splines for interpolation and approximation of curves, surfaces and solids
• A family of tangent continuous cubic algebraic splines
• Blending algebraic surfaces
• Blending Quadric Surfaces with Piecewise Algebraic Surfaces
• Implicit \(G^{n}\)-blending of vertices
• Cubic algebraic curves based on geometric constraints

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