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A continuous wavelet-based approach to detect anisotropic properties in spatial point processes
dc.contributor.author | D'Ercole, Roberto | |
dc.contributor.author | Mateu, Jorge | |
dc.date.accessioned | 2014-04-10T07:45:32Z | |
dc.date.available | 2014-04-10T07:45:32Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | D'ERCOLE, Roberto; MATEU, Jorge. A continuous wavelet-based approach to detect anisotropic properties in spatial point processes. International Journal of Wavelets, Multiresolution and Information Processing, 2013, 11.02. | ca_CA |
dc.identifier.issn | 0219-6913 | |
dc.identifier.uri | http://hdl.handle.net/10234/89991 | |
dc.description.abstract | A two-dimensional stochastic point process can be regarded as a random measure and thus represented as a (countable) sum of Delta Dirac measures concentrated at some points. Integration with respect to the point process itself leads to the concept of the continuous wavelet transform of a point process. Applying then suitable translation, rotation and dilation operations through a non unitary operator, we obtain a transformed point process which highlights main properties of the original point process. The choice of the mother wavelet is relevant and we thus conduct a detailed analysis proposing three two-dimensional mother wavelets. We use this approach to detect main directions present in the point process, and to test for anisotropy. | ca_CA |
dc.format.extent | 29 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | World Scientific Publishing | ca_CA |
dc.relation.isPartOf | International Journal of Wavelets, Multiresolution and Information Processing, 2013, 11.02. | ca_CA |
dc.rights | © 2013 World Scientific Publishing Co. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Anisotropic point processes | ca_CA |
dc.subject | continuous wavelet transform | ca_CA |
dc.subject | curvature | ca_CA |
dc.subject | End-Stopped mother wavelet | ca_CA |
dc.subject | Mexican Hat mother wavelet | ca_CA |
dc.subject | Morlet mother wavelet | ca_CA |
dc.subject | energy density position representation | ca_CA |
dc.subject | random measure | ca_CA |
dc.subject | transformed point processes | ca_CA |
dc.title | A continuous wavelet-based approach to detect anisotropic properties in spatial point processes | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1142/S0219691313500173 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://www.worldscientific.com/doi/abs/10.1142/S0219691313500173?af=R | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
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