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dc.contributor.authorColtraro, Franco
dc.contributor.authorAmorós Torrent, Jaume
dc.contributor.authorAlberich Carramiñana, Maria
dc.contributor.authorTorras, Carme
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor.otherUniversitat Politècnica de Catalunya. Institut de Robòtica i Informàtica Industrial, CSIC-UPC
dc.date.accessioned2024-01-31T11:59:29Z
dc.date.available2024-01-31T11:59:29Z
dc.date.issued2023
dc.identifier.citationColtraro, F. [et al.]. Reconstruction of sampled surfaces with boundary via Morse theory. A: Congreso Español de Informática Gráfica. "CEIG 2023: Congreso Español de Informática Gráfica, Palma de Mallorca, 3-6 july 2023". European Association for Computer Graphics (Eurographics), 2023, p. 21-24. ISBN 978-3-03868-230-1. DOI 10.2312/ceig.20231146.
dc.identifier.isbn978-3-03868-230-1
dc.identifier.urihttp://hdl.handle.net/2117/400622
dc.description.abstractWe study the perception problem for garments (e.g. a pair of pants) using tools from computational topology: the identification of their geometry and position from point-cloud samples, as obtained e.g. with 3D scanners. We present a reconstruction algorithm based on Morse theory that proceeds directly from the point-cloud to obtain a cellular decomposition of the surface derived via a Morse function. No intermediate triangulation or local implicit equations are used, avoiding reconstruction-induced artifices. The results are a piecewise parametrization of the surface as a union of Morse cells, suitable for tasks such as noise-filtering or mesh-independent reparametrization, and a cell complex of small rank determining the surface topology. This algorithm can be applied to smooth surfaces with or without boundary, embedded in an ambient space of any dimension.
dc.format.extent4 p.
dc.language.isoeng
dc.publisherEuropean Association for Computer Graphics (Eurographics)
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Topologia
dc.subject.lcshTopology
dc.subject.otherComputational topology
dc.subject.otherMorse functions
dc.subject.otherSurface reconstruction
dc.subject.otherPoint-clouds
dc.titleReconstruction of sampled surfaces with boundary via Morse theory
dc.typeConference report
dc.subject.lemacTopologia
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.contributor.groupUniversitat Politècnica de Catalunya. ROBiri - Grup de Percepció i Manipulació Robotitzada de l'IRI
dc.identifier.doi10.2312/ceig.20231146
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://diglib.eg.org/handle/10.2312/ceig20231146
dc.rights.accessOpen Access
local.identifier.drac37874376
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/741930/EU/CLOTH manIpulation Learning from DEmonstrations/CLOTHILDE
local.citation.authorColtraro, F.; Amoros, J.; Alberich, M.; Torras, C.
local.citation.contributorCongreso Español de Informática Gráfica
local.citation.publicationNameCEIG 2023: Congreso Español de Informática Gráfica, Palma de Mallorca, 3-6 july 2023
local.citation.startingPage21
local.citation.endingPage24


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