A new rotational integral formula for intrinsic volumes in space forms

dc.contributor.author	Gual-Arnau, Ximo
dc.contributor.author	Cruz-Orive, Luis M.
dc.contributor.author	Nuño Ballesteros, J. J.
dc.date.accessioned	2012-10-22T11:17:52Z
dc.date.available	2012-10-22T11:17:52Z
dc.date.issued	2010
dc.identifier	http://dx.doi.org/10.1016/j.aam.2009.09.003
dc.identifier.citation	Advances in Applied Mathematics, 44, 3, p. 298-308
dc.identifier.issn	1968858
dc.identifier.uri	http://hdl.handle.net/10234/49490
dc.description.abstract	A new rotational version of Crofton's formula is derived for the intrinsic volumes of a domain Y in a space form. More precisely, a functional is defined on the intersection between Y and a totally geodesic submanifold (plane) through a fixed point, such that the rotational average of this functional is equal to the intrinsic volumes of Y. Particular cases of interest in stereology are considered for the Euclidean case. © 2009 Elsevier Inc. All rights reserved.
dc.language.iso	eng
dc.publisher	Elsevier
dc.rights.uri	http://rightsstatements.org/vocab/CNE/1.0/	*
dc.subject	Integral geometry
dc.subject	Intrinsic volume
dc.subject	Rotational integral
dc.subject	Space form
dc.subject	Stereology
dc.subject	Support set
dc.subject	Transversality
dc.title	A new rotational integral formula for intrinsic volumes in space forms
dc.type	info:eu-repo/semantics/article
dc.identifier.doi	http://dx.doi.org/10.1016/j.aam.2009.09.003
dc.rights.accessRights	info:eu-repo/semantics/restrictedAccess
dc.type.version	info:eu-repo/semantics/publishedVersion

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