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 aniso...
Main Authors: | , , , |
---|---|
Format: | Report |
Language: | English |
Published: |
2008
|
Subjects: | |
Online Access: | https://kluedo.ub.rptu.de/frontdoor/index/index/docId/2003 https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-15655 https://kluedo.ub.rptu.de/files/2003/bericht141.pdf |
id |
ftunivkaisers:oai:kluedo.ub.rptu.de:2003 |
---|---|
record_format |
openpolar |
spelling |
ftunivkaisers:oai:kluedo.ub.rptu.de:2003 2023-05-15T16:40:54+02:00 Anisotropy analysis of pressed point processes Lautensack, C. Särkkä, A. Freitag, J. Schladitz, K. 2008 application/pdf https://kluedo.ub.rptu.de/frontdoor/index/index/docId/2003 https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-15655 https://kluedo.ub.rptu.de/files/2003/bericht141.pdf eng eng https://kluedo.ub.rptu.de/frontdoor/index/index/docId/2003 urn:nbn:de:hbz:386-kluedo-15655 https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-15655 https://kluedo.ub.rptu.de/files/2003/bericht141.pdf Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 https://kluedo.ub.rptu.de/download/lizenzen/kluedo_leitlinien_vor_2011-05-27.pdf info:eu-repo/semantics/openAccess estimation of compression isotropy test nearest neighbour distance orientation analysis polar ice Ripley’s K function ddc:510 report doc-type:report 2008 ftunivkaisers 2023-02-19T23:45:25Z 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. Report Ice Sheet KLUEDO - Publication Server of University of Kaiserslautern-Landau (RPTU) |
institution |
Open Polar |
collection |
KLUEDO - Publication Server of University of Kaiserslautern-Landau (RPTU) |
op_collection_id |
ftunivkaisers |
language |
English |
topic |
estimation of compression isotropy test nearest neighbour distance orientation analysis polar ice Ripley’s K function ddc:510 |
spellingShingle |
estimation of compression isotropy test nearest neighbour distance orientation analysis polar ice Ripley’s K function ddc:510 Lautensack, C. Särkkä, A. Freitag, J. Schladitz, K. Anisotropy analysis of pressed point processes |
topic_facet |
estimation of compression isotropy test nearest neighbour distance orientation analysis polar ice Ripley’s K function ddc:510 |
description |
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. |
format |
Report |
author |
Lautensack, C. Särkkä, A. Freitag, J. Schladitz, K. |
author_facet |
Lautensack, C. Särkkä, A. Freitag, J. Schladitz, K. |
author_sort |
Lautensack, C. |
title |
Anisotropy analysis of pressed point processes |
title_short |
Anisotropy analysis of pressed point processes |
title_full |
Anisotropy analysis of pressed point processes |
title_fullStr |
Anisotropy analysis of pressed point processes |
title_full_unstemmed |
Anisotropy analysis of pressed point processes |
title_sort |
anisotropy analysis of pressed point processes |
publishDate |
2008 |
url |
https://kluedo.ub.rptu.de/frontdoor/index/index/docId/2003 https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-15655 https://kluedo.ub.rptu.de/files/2003/bericht141.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
https://kluedo.ub.rptu.de/frontdoor/index/index/docId/2003 urn:nbn:de:hbz:386-kluedo-15655 https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-15655 https://kluedo.ub.rptu.de/files/2003/bericht141.pdf |
op_rights |
Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 https://kluedo.ub.rptu.de/download/lizenzen/kluedo_leitlinien_vor_2011-05-27.pdf info:eu-repo/semantics/openAccess |
_version_ |
1766031323220148224 |