Shape preserving surface reconstruction using locally anisotropic radial basis function interpolants
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Publication:936692
DOI10.1016/j.camwa.2006.04.002zbMath1149.65304OpenAlexW2038546072MaRDI QIDQ936692
L. Bacchelli Montefusco, Serena Morigi, Damiana Lazzaro, Giulio Casciola
Publication date: 19 August 2008
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.04.002
Related Items (10)
The regularizing properties of anisotropic radial basis functions ⋮ Unconditional convergence of iterative approximation methods ⋮ Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces ⋮ A discrete adapted hierarchical basis solver for radial basis function interpolation ⋮ On convergence of flat multivariate interpolation by translation kernels with finite smoothness ⋮ Polyharmonic splines: an approximation method for noisy scattered data of extra-large size ⋮ Error bounds for anisotropic RBF interpolation ⋮ Representing implicit surfaces satisfying Lipschitz conditions by 4-dimensional point sets ⋮ Reconstruction of 3D scattered data via radial basis functions by efficient and robust techniques ⋮ Fast algorithms for surface reconstruction from point cloud
Cites Work
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- Lower bounds for norms of inverses of interpolation matrices for radial basis functions
- Radial basis functions for the multivariate interpolation of large scattered data sets
- Fast surface reconstruction and hole filling using positive definite radial basis functions
- Error estimates and condition numbers for radial basis function interpolation
- Interpolation by basis functions of different scales and shapes
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