On the convexity of functional splines

DOI10.1016/0167-8396(93)90016-VzbMath0777.41012OpenAlexW2057375689MaRDI QIDQ1803687

Erich Hartmann, Yu-yu Feng

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)90016-v

zbMATH Keywords

concavityfunctional splinespseudoconcave functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

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Interpolation and approximation from convex sets ⋮ On convexity of planar curves and its application in CAGD ⋮ Cubic algebraic spline curves design ⋮ Sectional-curvature preserving skinning surfaces ⋮ Blending an implicit with a parametric surface ⋮ Geometric interpolants with different degrees of smoothness

Cites Work

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• Blending of implicit surfaces with functional splines
• Generalized concavity
• \(G^{n-1}\)-functional splines for interpolation and approximation of curves, surfaces and solids
• Criteria for quasi-convexity and pseudo-convexity: Relationships and comparisons
• Another Proof that Convex Functions are Locally Lipschitz