Filling holes with geometric and volumetric constraints
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Publication:1705004
DOI10.1016/j.camwa.2017.05.009zbMath1384.65021OpenAlexW2623157255MaRDI QIDQ1705004
Publication date: 14 March 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.05.009
numerical exampleenergy functionalvariational formulationsurface reconstructionvolume constraintfilling holesPowell-Sabin spline
Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (5)
Filling holes under non-linear constraints ⋮ Relationship between quality of basis for surface approximation and the effect of applying preconditioning strategies to their resulting linear systems ⋮ Filling holes using a mesh of filled curves ⋮ Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension ⋮ Reconstruction approximating method by biquadratic splines of offset surfaces holes
Cites Work
- \(C^ r\)-finite elements of Powell-Sabin type on the three direction mesh
- Filling polygonal holes with minimal energy surfaces on Powell-Sabin type triangulations
- Functional analysis, Sobolev spaces and partial differential equations
- Filling polygonal holes with bicubic patches
- Filling polygonal holes using \(C^{1}\) cubic triangular spline patches
- Filling holes with shape preserving conditions
- 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
- Spline approximation of discontinuous multivariate functions from scattered data
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