Anisotropy analysis of pressed point processes

  • This paper introduces methods for the detection of anisotropies which are caused by compression of regular three-dimensional point patterns. Isotropy tests based on directional summary statistics and estimators for the compression factor are developed. These allow not only for the detection of anisotropies but also for the estimation of their strength. Using simulated data the power of the methods and the dependence of the power on the intensity, the degree of regularity, and the compression strength are studied. The motivation of this paper is the investigation of anisotropies in the structure of polar ice. Therefore, our methods are applied to the point patterns of centres of air pores extracted from tomographic images of ice cores. This way the presence of anisotropies in the ice caused by the compression of the ice sheet as well as an increase of their strength with increasing depth are shown.

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Metadaten
Author:C. Lautensack, A. Särkkä, J. Freitag, K. Schladitz
URN (permanent link):urn:nbn:de:hbz:386-kluedo-15655
Serie (Series number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (141)
Document Type:Report
Language of publication:English
Year of Completion:2008
Year of Publication:2008
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Creating Corporation:Fraunhofer ITWM
Tag:Ripley’s K function; estimation of compression ; isotropy test ; nearest neighbour distance ; orientation analysis ; polar ice
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:510 Mathematik

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