2019-05-24T16:07:25Zhttp://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1671582018-11-08T08:56:30Zcom_10234_7037com_10234_9col_10234_8635
00925njm 22002777a 4500
dc
D'Ercole, Roberto
author
Mateu, Jorge
author
2014-11
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.
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
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
A wavelet-based approach to quantify the anisotropy degree of spatial random point configurations