Reconstruction of 3D scattered data via radial basis functions by efficient and robust techniques

DOI10.1016/j.apnum.2016.11.003zbMath1355.65028OpenAlexW2555008012MaRDI QIDQ729989

Alberto Crivellaro, Simona Perotto, Stefano Zonca

Publication date: 23 December 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.11.003

zbMATH Keywords

algorithmnumerical examplesradial basis functionsmultivariate interpolationadaptive algorithmsurface reconstructionleast squares approximation3D noisy and lacking scattered dataimplicit surface representation

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

A denoising tool for the reconstruction of cortical geometries from MRI ⋮ Implicit surface reconstruction based on a new interpolation/approximation radial basis function ⋮ A random features-based method for interpolating digital terrain models with high efficiency ⋮ Construction of new cubic Bézier-like triangular patches with application in scattered data interpolation

Uses Software

• LAPACK
• vmtk
• OpenNL

Cites Work

• Unnamed Item
• Quasi-interpolation for surface reconstruction from scattered data with radial basis function
• Numerical experiments on the condition number of the interpolation matrices for radial basis functions
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• Polygonization of implicit surfaces
• Fast surface reconstruction and hole filling using positive definite radial basis functions
• Multiresolution methods in scattered data modelling.
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Fast Radial Basis Function Interpolation via Preconditioned Krylov Iteration
• 3D scattered data interpolation and approximation with multilevel compactly supported RBFs
• Sparse surface reconstruction with adaptive partition of unity and radial basis functions
• Ridge Regression: Biased Estimation for Nonorthogonal Problems
• Scattered Data Approximation
• The elements of statistical learning. Data mining, inference, and prediction

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