A wavelet-based approach to quantify the anisotropy degree of spatial random point configurations
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http://dx.doi.org/10.1142/S0219691314500374 |
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Título
A wavelet-based approach to quantify the anisotropy degree of spatial random point configurationsFecha de publicación
2014-11Editor
World ScientificCita bibliográfica
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. 1-22Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.worldscientific.com/doi/abs/10.1142/S0219691314500374Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
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
Resumen
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. [-]
Publicado en
International Journal of Wavelets, Multiresolution and Information Processing (2014), v. 12, issue 6Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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