Three-dimensional image reconstruction using the PF/MFS technique

DOI10.1016/j.enganabound.2009.04.015zbMath1244.65224OpenAlexW2009055952MaRDI QIDQ441495

Andreas Karageorghis, R. Tankelevich, Graeme Fairweather

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.04.015

zbMATH Keywords

surface reconstructionmethod of fundamental solutionsLaplace's equationpotential field methodbiharmonic Dirichlet problemimplicit geometric modeling

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Computer-aided design (modeling of curves and surfaces) (65D17) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

On choosing the location of the sources in the MFS ⋮ A polynomial-augmented RBF collocation method for fourth-order boundary value problems ⋮ Geometric Design of Letters in Times Roman Font via RBF Meshless Collocation Method ⋮ Solving Fourth-Order PDEs using the LMAPS ⋮ Improved RBF Collocation Methods for Fourth Order Boundary Value Problems ⋮ The localized method of approximated particular solutions for near-singular two- and three-dimensional problems ⋮ Implicit surface reconstruction with radial basis functions via PDEs ⋮ Improved geometric modeling using the method of fundamental solutions ⋮ Integration over discrete closed surfaces using the method of fundamental solutions

Uses Software

• SERBA
• Stanford 3D Scanning Repository

Cites Work

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• Fast Evaluation of Radial Basis Functions: Methods for Four-Dimensional Polyharmonic Splines
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
• Potential field based geometric modelling using the method of fundamental solutions