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...
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ftchalmersuniv:oai:research.chalmers.se:103320 2023-05-15T16:40:54+02:00 Anisotropy analysis of pressed point processes Redenbach, Claudia Särkkä, Aila Schladitz, Katja Freitag Johannes 2009 text https://research.chalmers.se/en/publication/103320 unknown https://research.chalmers.se/en/publication/103320 Other Mathematics nearest neighbour distance Ripley's K function {anisotropy orientation ana lysis pressed point process isotropy test polar ice 2009 ftchalmersuniv 2022-12-11T06:57:36Z 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. Other/Unknown Material Ice Sheet Chalmers University of Technology: Chalmers research |
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Open Polar |
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Chalmers University of Technology: Chalmers research |
op_collection_id |
ftchalmersuniv |
language |
unknown |
topic |
Other Mathematics nearest neighbour distance Ripley's K function {anisotropy orientation ana lysis pressed point process isotropy test polar ice |
spellingShingle |
Other Mathematics nearest neighbour distance Ripley's K function {anisotropy orientation ana lysis pressed point process isotropy test polar ice Redenbach, Claudia Särkkä, Aila Schladitz, Katja Freitag Johannes Anisotropy analysis of pressed point processes |
topic_facet |
Other Mathematics nearest neighbour distance Ripley's K function {anisotropy orientation ana lysis pressed point process isotropy test polar ice |
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. |
author |
Redenbach, Claudia Särkkä, Aila Schladitz, Katja Freitag Johannes |
author_facet |
Redenbach, Claudia Särkkä, Aila Schladitz, Katja Freitag Johannes |
author_sort |
Redenbach, Claudia |
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 |
2009 |
url |
https://research.chalmers.se/en/publication/103320 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
https://research.chalmers.se/en/publication/103320 |
_version_ |
1766031332033429504 |