A hole filling method for surfaces by using \(\mathcal C^1\)-Powell-Sabin splines. Estimation of the smoothing parameters
From MaRDI portal
Publication:554546
DOI10.1016/j.matcom.2010.12.003zbMath1221.65032OpenAlexW2018972966MaRDI QIDQ554546
Publication date: 4 August 2011
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2010.12.003
smoothingnumerical examplesminimal energygraphical examplesfilling holesscattered data interpolationPowell-Sabin splinesoptimum parameters
Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
Filling holes under non-linear constraints ⋮ Filling holes with shape preserving conditions ⋮ Filling holes using a mesh of filled curves ⋮ Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- \(C^ r\)-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
- Almost sure convergence of smoothing \(D^ m\)-splines of noisy data
- Filling polygonal holes with bicubic patches
- Approximation by discrete variational splines
- Filling polygonal holes using \(C^{1}\) cubic triangular spline patches
- 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
