A hole filling method for surfaces by using \(\mathcal C^1\)-Powell-Sabin splines. Estimation of the smoothing parameters
type: Item
instance of: scholarly article
title: A hole filling method for surfaces by using \(\mathcal C^1\)-Powell-Sabin splines. Estimation of the smoothing parameters
zbMATH Open document ID: 1221.65032
author: Jianyong Qiao
author: Sumit K. Garg
published in: Mathematics and Computers in Simulation
publication date: 2011-08-04T00:00:00Z
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D10
zbMATH DE Number: 5936075
zbMATH Keywords: filling holes
zbMATH Keywords: minimal energy
zbMATH Keywords: optimum parameters
zbMATH Keywords: Powell-Sabin splines
zbMATH Keywords: scattered data interpolation
zbMATH Keywords: smoothing
zbMATH Keywords: graphical examples
zbMATH Keywords: numerical examples
describes a project that uses: BRENT
MaRDI profile type: Publication
full work available at URL: j.matcom.2010.12.003
OpenAlex ID: W2018972966
cites work: Almost sure convergence of smoothing \(D^ m\)-splines of noisy data
cites work: Q4652401
cites work: Minimal energy surfaces on Powell-Sabin type triangulations
cites work: Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin-type meshes for noisy data
cites work: Filling polygonal holes with minimal energy surfaces on Powell-Sabin type triangulations
cites work: Q4331455
cites work: Filling polygonal holes using \(C^{1}\) cubic triangular spline patches
cites work: Filling polygonal holes with bicubic patches
cites work: Approximation by discrete variational splines
cites work: \(C^ r\)-finite elements of Powell-Sabin type on the three direction mesh
cites work: Piecewise Quadratic Approximations on Triangles
cites work: Multisided macro-element spaces based on Clough-Tocher triangle splits with applications to hole filling
cites work: Error Bounds for Hermite Interpolation by Quadratic Splines on an -Triangulation
DOI: 10.1016/J.MATCOM.2010.12.003
description: scientific article; zbMATH DE number 5936075