Implicit Surface Reconstruction With a Curl-Free Radial Basis Function Partition of Unity Method

DOI10.1137/22M1474485MaRDI QIDQ5038406

Grady B. Wright, Edward J. Fuselier, Kathryn P. Drake

Publication date: 30 September 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05940

zbMATH Keywords

potentialsmoothing splinesradial basis functionpartition of unitymeshfreecurl-freepolyharmonic splinespoint cloudsimplicit surface reconstruction

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Computer science aspects of computer-aided design (68U07) Approximation with constraints (41A29) Spline approximation (41A15) Algorithms for approximation of functions (65D15) Computer-aided design (modeling of curves and surfaces) (65D17) Software, source code, etc. for problems pertaining to approximations and expansions (41-04)

Related Items (2)

A fault detection method based on partition of unity and kernel approximation ⋮ Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces

Uses Software

• Matlab
• MeshLab
• GitHub

Cites Work

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• A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
• Irrotational or divergence-free interpolation
• Smoothing parameter selection for smoothing splines: a simulation study
• Fast and accurate interpolation of large scattered data sets on the sphere
• A vector spline approximation
• Vectorial interpolation using radial-basis-like functions
• Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• Efficient computation of partition of unity interpolants through a block-based searching technique
• The parameter \(R^ 2\) in multiquadric interpolation
• A Primer on Radial Basis Functions with Applications to the Geosciences
• Sobolev-type approximation rates for divergence-free and curl-free RBF interpolants
• THE PARTITION OF UNITY METHOD
• A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs
• A radial basis function method for computing Helmholtz–Hodge decompositions
• Gcvpack – routines for generalized cross validation
• A Partition of Unity Method for Divergence-Free or Curl-Free Radial Basis Function Approximation
• A benchmark for surface reconstruction
• Screened poisson surface reconstruction
• Meshless Pseudo-Polyharmonic Divergence-Free and Curl-Free Vector Fields Approximation
• 3D scattered data interpolation and approximation with multilevel compactly supported RBFs
• Sparse surface reconstruction with adaptive partition of unity and radial basis functions
• Reconstructing multi-scale variational partition of unity implicit surfaces with attributes
• Scattered Data Approximation

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