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dc.contributor.authorGual Arnau, Ximo
dc.contributor.authorCruz Orive, Luis M.
dc.date.accessioned2016-10-17T07:56:19Z
dc.date.available2016-10-17T07:56:19Z
dc.date.issued2016-08
dc.identifier.citationGUAL-ARNAU, Ximo; CRUZ-ORIVE, Luis M. New rotational integrals in space forms, with an application to surface area estimation. Applications of Mathematics, 2016, vol. 61, no 4, p. 489-501ca_CA
dc.identifier.issn0862-7940
dc.identifier.urihttp://hdl.handle.net/10234/163609
dc.description.abstractA surface area estimator for three-dimensional convex sets, based on the invariator principle of local stereology, has recently motivated its generalization by means of new rotational Crofton-type formulae using Morse theory. We follow a different route to obtain related formulae which are more manageable and valid for submanifolds in constant curvature spaces. As an application, we obtain a simplified version of the mentioned surface area estimator for non-convex sets of smooth boundary.ca_CA
dc.description.sponsorShipWork was supported by the UJI project P11B2012-24 and the PROMETEOII/2014/062 project.ca_CA
dc.format.extent13 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherSpringerca_CA
dc.relation.isPartOfApplications of Mathematics, 2016, vol. 61, no 4ca_CA
dc.rights© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2016ca_CA
dc.subjectcritical pointca_CA
dc.subjectheight functionca_CA
dc.subjectsubmanifold in space formsca_CA
dc.subjectinvariator principleca_CA
dc.subjectlocal stereologyca_CA
dc.subjectrotational formulaeca_CA
dc.subjectsurface area estimationca_CA
dc.titleNew rotational integrals in space forms, with an application to surface area estimationca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1007/s10492-016-0143-9
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionThe original publication is available at www.dml.czca_CA


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