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dc.contributor.authorSimó Serra, Edgar
dc.contributor.authorTorras, Carme
dc.contributor.authorMoreno-Noguer, Francesc
dc.contributor.otherInstitut de Robòtica i Informàtica Industrial
dc.date.accessioned2017-12-18T08:21:41Z
dc.date.available2017-12-18T08:21:41Z
dc.date.issued2017-04-01
dc.identifier.citationSimo, E., Torras, C., Moreno-Noguer, F. 3D human pose tracking priors using geodesic mixture models. "International journal of computer vision", 1 Abril 2017, vol. 122, núm. 2, p. 388-408.
dc.identifier.issn0920-5691
dc.identifier.urihttp://hdl.handle.net/2117/112218
dc.descriptionThe final publication is available at link.springer.com
dc.description.abstractWe present a novel approach for learning a finite mixture model on a Riemannian manifold in which Euclidean metrics are not applicable and one needs to resort to geodesic distances consistent with the manifold geometry. For this purpose, we draw inspiration on a variant of the expectation-maximization algorithm, that uses a minimum message length criterion to automatically estimate the optimal number of components from multivariate data lying on an Euclidean space. In order to use this approach on Riemannian manifolds, we propose a formulation in which each component is defined on a different tangent space, thus avoiding the problems associated with the loss of accuracy produced when linearizing the manifold with a single tangent space. Our approach can be applied to any type of manifold for which it is possible to estimate its tangent space. Additionally, we consider using shrinkage covariance estimation to improve the robustness of the method, especially when dealing with very sparsely distributed samples. We evaluate the approach on a number of situations, going from data clustering on manifolds to combining pose and kinematics of articulated bodies for 3D human pose tracking. In all cases, we demonstrate remarkable improvement compared to several chosen baselines.
dc.format.extent21 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Informàtica::Robòtica
dc.subject.otherProbabilistic priors
dc.subject.otherMixture modelling
dc.subject.otherRiemannian manifolds
dc.subject.other3D human pose
dc.subject.otherHuman kinematics
dc.title3D human pose tracking priors using geodesic mixture models
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. ROBiri - Grup de Robòtica de l'IRI
dc.identifier.doi10.1007/s11263-016-0941-2
dc.description.peerreviewedPeer Reviewed
dc.subject.inspecClassificació INSPEC::Automation::Robots::Humanoid robots
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs11263-016-0941-2
dc.rights.accessOpen Access
local.identifier.drac20330019
dc.description.versionPostprint (author's final draft)
local.citation.authorSimo, E.; Torras, C.; Moreno-Noguer, F.
local.citation.publicationNameInternational journal of computer vision
local.citation.volume122
local.citation.number2
local.citation.startingPage388
local.citation.endingPage408


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