Academic Journal
A wavelet-based approach to quantify the anisotropy degree of spatial random point configurations
| العنوان: | A wavelet-based approach to quantify the anisotropy degree of spatial random point configurations |
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| المؤلفون: | D'Ercole, Roberto, Mateu, Jorge |
| بيانات النشر: | World Scientific |
| سنة النشر: | 2017 |
| المجموعة: | Repositori Universitat Jaume I (Repositorio UJI) |
| مصطلحات موضوعية: | 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 |
| الوصف: | 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. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | International Journal of Wavelets, Multiresolution and Information Processing (2014), v. 12, issue 6; 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. 1-22; http://hdl.handle.net/10234/167158; http://dx.doi.org/10.1142/S0219691314500374 |
| DOI: | 10.1142/S0219691314500374 |
| الاتاحة: | http://hdl.handle.net/10234/167158 https://doi.org/10.1142/S0219691314500374 |
| Rights: | http://rightsstatements.org/vocab/CNE/1.0/ ; info:eu-repo/semantics/restrictedAccess |
| رقم الانضمام: | edsbas.680AC9F6 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1142/S0219691314500374 |
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