Fast surface reconstruction and hole filling using positive definite radial basis functions

DOI10.1007/s11075-004-3643-8zbMath1069.65013OpenAlexW2118352464MaRDI QIDQ1776186

L. Bacchelli Montefusco, Serena Morigi, Giulio Casciola, Damiana Lazzaro

Publication date: 20 May 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-004-3643-8

zbMATH Keywords

algorithmnumerical examplesradial basis functionsurface reconstructionscattered datalocal interpolationhole fillingsmooth multivariate interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Complexity and performance of numerical algorithms (65Y20) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

The regularizing properties of anisotropic radial basis functions ⋮ A unified surface geometric framework for feature-aware denoising, hole filling and context-aware completion ⋮ Recovering functions: a method based on domain decomposition ⋮ Shape preserving surface reconstruction using locally anisotropic radial basis function interpolants ⋮ Reconstruction of 3D scattered data via radial basis functions by efficient and robust techniques

Uses Software

• QSHEP3D

Cites Work

• Unnamed Item
• Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
• Error estimates for interpolation by compactly supported radial basis functions of minimal degree
• Radial basis functions for the multivariate interpolation of large scattered data sets
• Multistep scattered data interpolation using compactly supported radial basis functions
• Error estimates and condition numbers for radial basis function interpolation
• Compactly supported positive definite radial functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Multivariate interpolation of large sets of scattered data
• Shepard's Method of "Metric Interpolation" to Bivariate and Multivariate Interpolation

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