dc.contributor.author | Tankelevich, R. | en |
dc.contributor.author | Fairweather, G. | en |
dc.contributor.author | Karageorghis, Andreas | en |
dc.creator | Tankelevich, R. | en |
dc.creator | Fairweather, G. | en |
dc.creator | Karageorghis, Andreas | en |
dc.date.accessioned | 2019-12-02T10:38:29Z | |
dc.date.available | 2019-12-02T10:38:29Z | |
dc.date.issued | 2009 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57678 | |
dc.description.abstract | We propose a geometric modeling method in R3 based on the so-called potential field (PF) modeling technique. The method is a new technique for surface reconstruction from a data set of scattered points taken on a surface. In this method, the construction of a geometric model is based on the solution of an elliptic boundary value problem determined using the method of fundamental solutions (MFS). We consider two such problems, Laplace's equation subject to Dirichlet boundary conditions and the biharmonic Dirichlet problem. We present the results of numerical experiments which demonstrate the efficacy of these approaches. We also identify differences and potential difficulties in the application of these approaches and propose ways of addressing them. © 2009 Elsevier Ltd. All rights reserved. | en |
dc.source | Engineering Analysis with Boundary Elements | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-69249205360&doi=10.1016%2fj.enganabound.2009.04.015&partnerID=40&md5=07b93322828105706407efe99da76eaf | |
dc.subject | Geometry | en |
dc.subject | Boundary value problems | en |
dc.subject | Image reconstruction | en |
dc.subject | Surface reconstruction | en |
dc.subject | Method of fundamental solutions | en |
dc.subject | Laplace transforms | en |
dc.subject | Laplace equation | en |
dc.subject | Biharmonic Dirichlet problem | en |
dc.subject | Repair | en |
dc.subject | Implicit geometric modeling | en |
dc.subject | Laplace's equation | en |
dc.subject | Potential field method | en |
dc.title | Three-dimensional image reconstruction using the PF/MFS technique | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.enganabound.2009.04.015 | |
dc.description.volume | 33 | |
dc.description.issue | 12 | |
dc.description.startingpage | 1403 | |
dc.description.endingpage | 1410 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :3</p> | en |
dc.source.abbreviation | Eng Anal Boundary Elem | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 | |