A wavelet-based approach to quantify the anisotropy degree of spatial random point configurations
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comunitat-uji-handle2:10234/7037
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http://dx.doi.org/10.1142/S0219691314500374 |
Metadata
Title
A wavelet-based approach to quantify the anisotropy degree of spatial random point configurationsDate
2014-11Publisher
World ScientificBibliographic citation
D'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. 1-22Type
info:eu-repo/semantics/articlePublisher version
http://www.worldscientific.com/doi/abs/10.1142/S0219691314500374Version
info:eu-repo/semantics/publishedVersionSubject
Anisotropic point process | Angular energy density | Angular position energy density | Anisotropy degree | Continuous wavelet transform | Curvature | Main anisotropy direction | Maximum energy density | Morlet mother wavelet | Point process distribution | Ray of curvature | Random measure | Testing anisotropy | Wavelet-based isotropy
Abstract
A 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 ... [+]
A 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. [-]
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International Journal of Wavelets, Multiresolution and Information Processing (2014), v. 12, issue 6Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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