Hole-filling techniques by using minimal energy surfaces

zbMath1392.65018MaRDI QIDQ1653965

Miguel Angel Fortes E.

Publication date: 7 August 2018

Published in: Bulletin of Computational Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://drive.google.com/open?id=0B5GyVVQ6O030MTljVC1rbDNMWW8

zbMATH Keywords

finite elementPowell-Sabinfilling-holeminimal energy surface

Mathematics Subject Classification ID

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

Cites Work

• Preconditioned conjugate gradient method for finding minimal energy surfaces on Powell-Sabin triangulations
• \(C^ r\)-finite elements of Powell-Sabin type on the three direction mesh
• Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin-type meshes for noisy data
• Filling polygonal holes with minimal energy surfaces on Powell-Sabin type triangulations
• Approximation order of bivariate spline interpolation for arbitrary smoothness
• Filling polygonal holes with bicubic patches
• Approximation of surfaces by fairness bicubic splines
• Filling polygonal holes using \(C^{1}\) cubic triangular spline patches
• Filling holes with shape preserving conditions
• Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin type meshes. Estimation of the smoothing parameters
• Minimal energy surfaces on Powell-Sabin type triangulations
• Multisided macro-element spaces based on Clough-Tocher triangle splits with applications to hole filling
• Error Bounds for Hermite Interpolation by Quadratic Splines on an  -Triangulation
• Piecewise Quadratic Approximations on Triangles
• Interpolating minimal energy C¹‐Surfaces on <scp>P</scp>owell–<scp>S</scp>abin Triangulations: Application to the resolution of elliptic problems
• Spline approximation of discontinuous multivariate functions from scattered data
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