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New rotational integrals in space forms, with an application to surface area estimation
dc.contributor.author | Gual-Arnau, Ximo | |
dc.contributor.author | Cruz-Orive, Luis M. | |
dc.date.accessioned | 2016-10-17T07:56:19Z | |
dc.date.available | 2016-10-17T07:56:19Z | |
dc.date.issued | 2016-08 | |
dc.identifier.citation | GUAL-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. 489-501 | ca_CA |
dc.identifier.issn | 0862-7940 | |
dc.identifier.uri | http://hdl.handle.net/10234/163609 | |
dc.description.abstract | A 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.sponsorShip | Work was supported by the UJI project P11B2012-24 and the PROMETEOII/2014/062 project. | ca_CA |
dc.format.extent | 13 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer | ca_CA |
dc.relation.isPartOf | Applications of Mathematics, 2016, vol. 61, no 4 | ca_CA |
dc.rights | © Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2016 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | critical point | ca_CA |
dc.subject | height function | ca_CA |
dc.subject | submanifold in space forms | ca_CA |
dc.subject | invariator principle | ca_CA |
dc.subject | local stereology | ca_CA |
dc.subject | rotational formulae | ca_CA |
dc.subject | surface area estimation | ca_CA |
dc.title | New rotational integrals in space forms, with an application to surface area estimation | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s10492-016-0143-9 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | The original publication is available at www.dml.cz | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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