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Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/29147
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dc.contributor.authorCollowald, Mathieuen_UK
dc.contributor.authorCuyt, Annieen_UK
dc.contributor.authorHubert, Evelyneen_UK
dc.contributor.authorLee, Wen-shinen_UK
dc.contributor.authorSalazar Celis, Oliveren_UK
dc.date.accessioned2019-03-30T01:01:31Z-
dc.date.available2019-03-30T01:01:31Z-
dc.date.issued2015-12en_UK
dc.identifier.urihttp://hdl.handle.net/1893/29147-
dc.description.abstractWe reconstruct an n-dimensional convex polytope from the knowledge of its directional moments. The directional moments are related to the projection of the polytope vertices on a particular direction. To extract the vertex coordinates from the moment information we combine established numerical algorithms such as generalized eigenvalue computation and linear interval interpolation. Numerical illustrations are given for the reconstruction of 2-d and 3-d convex polytopes.en_UK
dc.language.isoenen_UK
dc.publisherBMCen_UK
dc.relationCollowald M, Cuyt A, Hubert E, Lee W & Salazar Celis O (2015) Numerical reconstruction of convex polytopes from directional moments. Advances in Computational Mathematics, 41 (6), pp. 1079-1099. https://doi.org/10.1007/s10444-014-9401-0en_UK
dc.rights[Collowald et al-ACM-2015.pdf] [Copyright] The publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study.en_UK
dc.rights[moments.pdf] This is a post-peer-review, pre-copyedit version of an article published in Advances in Computational Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s10444-014-9401-0en_UK
dc.subjectShape from momenten_UK
dc.subjectBrion’s formulaen_UK
dc.subjectDirectional momentsen_UK
dc.subjectPronyen_UK
dc.subjectGeneralized eigenvaluesen_UK
dc.subjectInterval interpolationen_UK
dc.titleNumerical reconstruction of convex polytopes from directional momentsen_UK
dc.typeJournal Articleen_UK
dc.rights.embargoreason[Collowald et al-ACM-2015.pdf] The publisher does not allow this work to be made publicly available in this Repository therefore there is an embargo on the full text of the work.en_UK
dc.identifier.doi10.1007/s10444-014-9401-0en_UK
dc.citation.jtitleAdvances in Computational Mathematicsen_UK
dc.citation.issn1572-9044en_UK
dc.citation.issn1019-7168en_UK
dc.citation.volume41en_UK
dc.citation.issue6en_UK
dc.citation.spage1079en_UK
dc.citation.epage1099en_UK
dc.citation.publicationstatusPublisheden_UK
dc.citation.peerreviewedRefereeden_UK
dc.type.statusVoR - Version of Recorden_UK
dc.type.statusAM - Accepted Manuscripten_UK
dc.contributor.funderUniversity of Antwerpen_UK
dc.contributor.funderResearch Foundation - Flandersen_UK
dc.author.emailwen-shin.lee@stir.ac.uken_UK
dc.citation.date21/01/2015en_UK
dc.contributor.affiliationUniversity of Nice Sophia-Antipolis, Franceen_UK
dc.contributor.affiliationUniversity of Antwerpen_UK
dc.contributor.affiliationUniversity of Nice Sophia-Antipolis, Franceen_UK
dc.contributor.affiliationUniversity of Antwerpen_UK
dc.contributor.affiliationUniversity of Antwerpen_UK
dc.identifier.isiWOS:000365740800006en_UK
dc.identifier.scopusid2-s2.0-84949092052en_UK
dc.identifier.wtid1045947en_UK
dc.contributor.orcid0000-0002-2808-3739en_UK
dc.date.accepted2014-12-30en_UK
dcterms.dateAccepted2014-12-30en_UK
dc.date.filedepositdate2018-11-03en_UK
dc.subject.tagComputer Scienceen_UK
dc.subject.tagMathematical Analysisen_UK
rioxxterms.apcnot requireden_UK
rioxxterms.typeJournal Article/Reviewen_UK
rioxxterms.versionAMen_UK
local.rioxx.authorCollowald, Mathieu|en_UK
local.rioxx.authorCuyt, Annie|en_UK
local.rioxx.authorHubert, Evelyne|en_UK
local.rioxx.authorLee, Wen-shin|0000-0002-2808-3739en_UK
local.rioxx.authorSalazar Celis, Oliver|en_UK
local.rioxx.projectProject ID unknown|Research Foundation - Flanders|en_UK
local.rioxx.projectProject ID unknown|University of Antwerp|en_UK
local.rioxx.freetoreaddate2019-03-27en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/under-embargo-all-rights-reserved||2016-01-21en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/all-rights-reserved|2019-03-27|en_UK
local.rioxx.filenamemoments.pdfen_UK
local.rioxx.filecount2en_UK
local.rioxx.source1019-7168en_UK
Appears in Collections:Computing Science and Mathematics Journal Articles

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