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dc.contributor.authorD'Ercole, Roberto
dc.contributor.authorMateu, Jorge
dc.date.accessioned2017-04-06T12:01:17Z
dc.date.available2017-04-06T12:01:17Z
dc.date.issued2014-11
dc.identifier.citationD'ERCOLE, Roberto; MATEU, Jorge. A wavelet-based approach to quantify the anisotropy degree of spatial random point configurations. International Journal of Wavelets, Multiresolution and Information Processing (2014), v. 12, issue 6, pp. 1-22ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/167158
dc.description.abstractA two-dimensional point process, if considered as a random measure, can be expressed as a countable sum of Delta Dirac measures concentrated at some random points. Then a continuous wavelet transform can be applied to obtain information on some structural properties. We introduce the notions of wavelet-based isotropy, main anisotropy direction and anisotropy degree to characterize the implicit anisotropic structure of the point process. We propose several statistical hypothesis tests that are proved to be useful to test for the presence of anisotropy. An application to a real case is also included.ca_CA
dc.format.extent22 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherWorld Scientificca_CA
dc.relation.isPartOfInternational Journal of Wavelets, Multiresolution and Information Processing (2014), v. 12, issue 6ca_CA
dc.subjectAnisotropic point processca_CA
dc.subjectAngular energy densityca_CA
dc.subjectAngular position energy densityca_CA
dc.subjectAnisotropy degreeca_CA
dc.subjectContinuous wavelet transformca_CA
dc.subjectCurvatureca_CA
dc.subjectMain anisotropy directionca_CA
dc.subjectMaximum energy densityca_CA
dc.subjectMorlet mother waveletca_CA
dc.subjectPoint process distributionca_CA
dc.subjectRay of curvatureca_CA
dc.subjectRandom measureca_CA
dc.subjectTesting anisotropyca_CA
dc.subjectWavelet-based isotropyca_CA
dc.titleA wavelet-based approach to quantify the anisotropy degree of spatial random point configurationsca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1142/S0219691314500374
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_CA
dc.relation.publisherVersionhttp://www.worldscientific.com/doi/abs/10.1142/S0219691314500374ca_CA


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