Contour Models for Boundaries Enclosing Star-Shaped and Approximately Star-Shaped Polygons
Boundaries on spatial fields divide regions with particular features from surrounding background areas. These boundaries are often described with contour lines. To measure and record these boundaries, contours are often represented as ordered sequences of spatial points that connect to form a line....
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Online Access: | https://dx.doi.org/10.48550/arxiv.2007.04386 https://arxiv.org/abs/2007.04386 |
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ftdatacite:10.48550/arxiv.2007.04386 2023-05-15T15:05:07+02:00 Contour Models for Boundaries Enclosing Star-Shaped and Approximately Star-Shaped Polygons Director, Hannah M. Raftery, Adrian E. 2020 https://dx.doi.org/10.48550/arxiv.2007.04386 https://arxiv.org/abs/2007.04386 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Methodology stat.ME FOS Computer and information sciences Article CreativeWork article Preprint 2020 ftdatacite https://doi.org/10.48550/arxiv.2007.04386 2022-03-10T15:26:47Z Boundaries on spatial fields divide regions with particular features from surrounding background areas. These boundaries are often described with contour lines. To measure and record these boundaries, contours are often represented as ordered sequences of spatial points that connect to form a line. Methods to identify boundary lines from interpolated spatial fields are well-established. Less attention has been paid to how to model sequences of connected spatial points. For data of the latter form, we introduce the Gaussian Star-shaped Contour Model (GSCM). GSMCs generate sequences of spatial points via generating sets of distances in various directions from a fixed starting point. The GSCM is designed for modeling contours that enclose regions that are star-shaped polygons or approximately star-shaped polygons. Metrics are introduced to assess the extent to which a polygon deviates from star-shaped. Simulation studies illustrate the performance of the GSCM in various scenarios and an analysis of Arctic sea ice edge contour data highlights how GSCMs can be applied to observational data. Article in Journal/Newspaper Arctic Sea ice DataCite Metadata Store (German National Library of Science and Technology) Arctic |
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topic |
Methodology stat.ME FOS Computer and information sciences |
spellingShingle |
Methodology stat.ME FOS Computer and information sciences Director, Hannah M. Raftery, Adrian E. Contour Models for Boundaries Enclosing Star-Shaped and Approximately Star-Shaped Polygons |
topic_facet |
Methodology stat.ME FOS Computer and information sciences |
description |
Boundaries on spatial fields divide regions with particular features from surrounding background areas. These boundaries are often described with contour lines. To measure and record these boundaries, contours are often represented as ordered sequences of spatial points that connect to form a line. Methods to identify boundary lines from interpolated spatial fields are well-established. Less attention has been paid to how to model sequences of connected spatial points. For data of the latter form, we introduce the Gaussian Star-shaped Contour Model (GSCM). GSMCs generate sequences of spatial points via generating sets of distances in various directions from a fixed starting point. The GSCM is designed for modeling contours that enclose regions that are star-shaped polygons or approximately star-shaped polygons. Metrics are introduced to assess the extent to which a polygon deviates from star-shaped. Simulation studies illustrate the performance of the GSCM in various scenarios and an analysis of Arctic sea ice edge contour data highlights how GSCMs can be applied to observational data. |
format |
Article in Journal/Newspaper |
author |
Director, Hannah M. Raftery, Adrian E. |
author_facet |
Director, Hannah M. Raftery, Adrian E. |
author_sort |
Director, Hannah M. |
title |
Contour Models for Boundaries Enclosing Star-Shaped and Approximately Star-Shaped Polygons |
title_short |
Contour Models for Boundaries Enclosing Star-Shaped and Approximately Star-Shaped Polygons |
title_full |
Contour Models for Boundaries Enclosing Star-Shaped and Approximately Star-Shaped Polygons |
title_fullStr |
Contour Models for Boundaries Enclosing Star-Shaped and Approximately Star-Shaped Polygons |
title_full_unstemmed |
Contour Models for Boundaries Enclosing Star-Shaped and Approximately Star-Shaped Polygons |
title_sort |
contour models for boundaries enclosing star-shaped and approximately star-shaped polygons |
publisher |
arXiv |
publishDate |
2020 |
url |
https://dx.doi.org/10.48550/arxiv.2007.04386 https://arxiv.org/abs/2007.04386 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Sea ice |
genre_facet |
Arctic Sea ice |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.2007.04386 |
_version_ |
1766336870974750720 |