Show simple item record

dc.contributor.authorGual Arnau, Ximo
dc.contributor.authorIbáñez Gual, Maria Victoria
dc.contributor.authorSimó Vidal, Amelia
dc.identifier.citationGUAL‐ARNAU, Ximo; IBÁÑEZ, M.; SIMÓ, Amelia. A new extrinsic sample mean in the shape space with applications to the boundaries of anatomical structures. Biometrical Journal, 2015, vol. 57, no 3, p. 502-516.ca_CA
dc.description.abstractShape analysis is of great importance in many fields of medical imaging and computational biology. In this paper, we consider the shape space as the set of smooth planar immersed curves in inline image (parameterized curves) and, using the property of being isometric to a classical manifold immersed in a Euclidean space, we introduce a new extrinsic sample mean and a new extrinsic variance for a finite set of shapes, which are not necessarily star shaped. This is a fundamental tool in medical image analysis, for instance, to assess uncertainties that arise in locating anatomical structures such as the prostate and the bladder. We apply it to a dataset consisting of parallel planar axial CT sections of human prostate, in order to study the variability between boundaries that have been manually delineated by several observers.ca_CA
dc.description.sponsorShipWe thank the referees for their very careful review of the paper, and for the comments, corrections and an improved proof of Theorem 2.1. This work was supported financially by the Spanish Ministry of Science and Innovation Project DPI2013-47279-C2-1-R, by the UJI projects P11B2012-24 and P11A2011-11, and by the Generalitat Valenciana Project PROMETEOII/2014/062.ca_CA
dc.format.extent15 p.ca_CA
dc.relation.isPartOfBiometrical Journal, 2015, vol. 57, no 3ca_CA
dc.rights© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheimca_CA
dc.subjectAnatomical structureca_CA
dc.subjectExtrinsic sample meanca_CA
dc.subjectParameterized closed curveca_CA
dc.subjectShape spaceca_CA
dc.titleA new extrinsic sample mean in the shape space with applications to the boundaries of anatomical structuresca_CA

Files in this item


There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record