Intrinsic sample mean in the space of planar shapes

Flores-Compañ, María-Jesús; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Simó, Amelia

dc.contributor.author	Flores-Compañ, María-Jesús
dc.contributor.author	Gual-Arnau, Ximo
dc.contributor.author	Ibáñez Gual, Maria Victoria
dc.contributor.author	Simó, Amelia
dc.date.accessioned	2016-12-15T10:10:29Z
dc.date.available	2016-12-15T10:10:29Z
dc.date.issued	2016-12
dc.identifier.citation	FLORES, M. J., et al. Intrinsic sample mean in the space of planar shapes. Pattern Recognition, 2016, vol. 60, p. 164-176.	ca_CA
dc.identifier.uri	http://hdl.handle.net/10234/165052
dc.description.abstract	In this paper we consider the shape space as the set of smooth simple closed curves in R2R2 (parameterized curves), modulo translations, rotations and scale changes. An algorithm to obtain the intrinsic average of a sample data (set of planar shape realizations), from the identification of the shape space with an infinite dimensional Grassmannian is proposed using a gradient descent type algorithm. A simulation study is carried out to check the performance of the algorithm.	ca_CA
dc.description.sponsorShip	This paper has been partially supported by the Spanish Ministry of Science and Innovation by the Project DPI2013- 47279-C2-1-R.	ca_CA
dc.format.extent	12 p.	ca_CA
dc.format.mimetype	application/pdf	ca_CA
dc.language.iso	eng	ca_CA
dc.publisher	Elsevier	ca_CA
dc.relation.isPartOf	Pattern Recognition, 2016, vol. 60	ca_CA
dc.rights	Copyright © 2016 Elsevier B.V. or its licensors or contributors.	ca_CA
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	*
dc.subject	Intrinsic sample mean	ca_CA
dc.subject	Parameterized closed curve	ca_CA
dc.subject	Shape space	ca_CA
dc.subject	Gradient descent algorithm	ca_CA
dc.title	Intrinsic sample mean in the space of planar shapes	ca_CA
dc.type	info:eu-repo/semantics/article	ca_CA
dc.identifier.doi	http://dx.doi.org/10.1016/j.patcog.2016.04.025
dc.rights.accessRights	info:eu-repo/semantics/restrictedAccess	ca_CA
dc.relation.publisherVersion	http://www.sciencedirect.com/science/article/pii/S0031320316301030	ca_CA
dc.type.version	info:eu-repo/semantics/publishedVersion

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