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dc.rights.licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.contributor.authorAlpala L.O.
dc.contributor.authorPeluffo-Ordonez D.H.
dc.contributor.authorGonzalez-Castano C.
dc.contributor.authorGuasmayan F.A.
dc.contributor.editorGuarin P.V.
dc.contributor.editorPosada L.G.
dc.contributor.other20th Symposium on Signal Processing, Images and Computer Vision, STSIVA 2015
dc.date.accessioned2024-12-02T20:15:39Z
dc.date.available2024-12-02T20:15:39Z
dc.date.issued2015
dc.identifier.isbn978-146739461-1
dc.identifier.urihttps://hdl.handle.net/20.500.14112/28932
dc.description.abstractThis work presents a novel alternative to conventional linear homotopy with suboptimal settings for applications on object deformation. Proposed approach extends the linear mapping to exponential representations that provides smooth transitions when deforming objects while homotopy conditions are fulfilled. As well, we introduce a quality indicator based on the ratio between the coefficients curve of resultant homotopy and those of a non-realistic, reference homotopy. Experimental results are promising and show the applicability of exponential homotopy to interpolating images with soft changes and homotopic geometric objects. © 2015 IEEE.
dc.format.mediumRecurso electrónico
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherInstitute of Electrical and Electronics Engineers Inc.
dc.rights.uriAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
dc.source2015 20th Symposium on Signal Processing, Images and Computer Vision, STSIVA 2015 - Conference Proceedings
dc.sourceSymp. Signal Process., Images Comput. Vis., STSIVA - Conf. Proc.
dc.sourceScopus
dc.titleDeforming objects via exponential homotopy: A first approach
datacite.contributorFaculty of Engineering, Universidad Cooperativa de Colombia, Sede Pasto, Colombia
datacite.contributorElectronic Engineering Program, Universidad Surcolombiana, Colombia
datacite.contributorFaculty of Engineering, Universidad Mariana, Colombia
datacite.contributorAlpala L.O., Faculty of Engineering, Universidad Cooperativa de Colombia, Sede Pasto, Colombia
datacite.contributorPeluffo-Ordonez D.H., Faculty of Engineering, Universidad Cooperativa de Colombia, Sede Pasto, Colombia
datacite.contributorGonzalez-Castano C., Electronic Engineering Program, Universidad Surcolombiana, Colombia
datacite.contributorGuasmayan F.A., Faculty of Engineering, Universidad Mariana, Colombia
datacite.contributor20th Symposium on Signal Processing, Images and Computer Vision, STSIVA 2015
datacite.rightshttp://purl.org/coar/access_right/c_abf2
oaire.resourcetypehttp://purl.org/coar/resource_type/c_c94f
oaire.versionhttp://purl.org/coar/version/c_ab4af688f83e57aa
dc.contributor.sponsorPontificia Universidad Javeriana
dc.identifier.doi10.1109/STSIVA.2015.7330401
dc.identifier.instnameUniversidad Mariana
dc.identifier.local7330401
dc.identifier.reponameRepositorio Clara de Asis
dc.identifier.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84962835226&doi=10.1109%2fSTSIVA.2015.7330401&partnerID=40&md5=1c356d9131f9c013b07a5ad9900be979
dc.relation.conferencedate2 September 2015 through 4 September 2015
dc.relation.conferenceplaceBogota
dc.relation.iscitedby1
dc.relation.referencesNash C., Sen S., Topology and Geometry for Physicists, (2013)
dc.relation.referencesFrancois A., Models of the Real Projective Plane: Computer Graphics of Steiner and Boy Surfaces, (2013)
dc.relation.referencesPeluffo-Ordonez D.H., Alvarado-Perez J.C., Lee J.A., Verleysen M., Geometrical Homotopy for Data Visualization, (2015)
dc.relation.referencesFeng X., Geometric and Topological Modeling Techniques for Large and Complex Shapes, (2014)
dc.relation.referencesManuel J.C., Et al., Topologically correct cortical segmentation using Khalimsky's cubic complex framework, SPIE Medical Imaging, (2011)
dc.relation.referencesHector V., Et al., Homotopy method with a formal stop criterion applied to circuit simulation, IEICE Electronics Express, 8, 21, pp. 1808-1815, (2011)
dc.relation.referencesSalinas L., Mercedes E., Análisis de Elementos Vigacolumna en Régimen No Lineal Con Deformación Por Cortante, (2015)
dc.relation.referencesChambers E., Yusu W., Measuring similarity between curves on 2-manifolds via homotopy area, Proceedings of the Twenty-ninth Annual Symposium on Computational Geometry. ACM, (2013)
dc.relation.referencesBelhumeur P., Hespanha J., Kriegman D., Eigenfaces vs. Fisherfaces: Recognition using class specific linear projection, IEEE Transactions on Pattern Analysis and Machine Intelligence, pp. 711-720, (1997)
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.subject.keywordsComputer vision
dc.subject.keywordsDeformation
dc.subject.keywordsImage processing
dc.subject.keywordsDeforming objects
dc.subject.keywordsExponential representation
dc.subject.keywordsGeometric objects
dc.subject.keywordsHomotopies
dc.subject.keywordsLinear mapping
dc.subject.keywordsObject deformation
dc.subject.keywordsQuality indicators
dc.subject.keywordsSmooth transitions
dc.subject.keywordsSignal processing
dc.type.driverinfo:eu-repo/semantics/conferenceObject
dc.type.hasversioninfo:eu-repo/semantics/acceptedVersion
dc.type.redcolhttp://purl.org/redcol/resource_type/ARTDATA
dc.type.spaContribución a congreso / Conferencia


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