Approximate implicitization of parametric surfaces by using compactly supported radial basis functions

DOI10.1016/j.camwa.2008.09.016zbMath1165.53308OpenAlexW2011351179MaRDI QIDQ2389423

Ren-Hong Wang, Jinming Wu

Publication date: 16 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.09.016

zbMATH Keywords

approximate implicitizationcompactly supported radial basis functionsparametric surfacesboundary constraint pointsnormal constraint points

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Computer-aided design (modeling of curves and surfaces) (65D17) Classical differential geometry (53A99)

Related Items (4)

Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument ⋮ Approximate implicitization of parametric curves using cubic algebraic splines ⋮ A new approach for approximate implicitization of parametric curves ⋮ Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales

Cites Work

• Radial basis functions for the multivariate interpolation of large scattered data sets
• Multistep scattered data interpolation using compactly supported radial basis functions
• Compactly supported positive definite radial functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Interval implicitization of rational curves
• 3D scattered data interpolation and approximation with multilevel compactly supported RBFs
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