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Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra

The study of spatial geometric similarity plays a significant role in spatial data retrieval. Many researchers have examined spatial geometric similarity, which is useful for spatial analysis and data retrieval. However, the majority of them focused on objects of the same type. Methods to support th...

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Detalles Bibliográficos
Autores principales: Jiang, Xiaomin, Huang, Yangfei, Zhang, Feng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9518588/
https://www.ncbi.nlm.nih.gov/pubmed/36078512
http://dx.doi.org/10.3390/ijerph191710807
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author Jiang, Xiaomin
Huang, Yangfei
Zhang, Feng
author_facet Jiang, Xiaomin
Huang, Yangfei
Zhang, Feng
author_sort Jiang, Xiaomin
collection PubMed
description The study of spatial geometric similarity plays a significant role in spatial data retrieval. Many researchers have examined spatial geometric similarity, which is useful for spatial analysis and data retrieval. However, the majority of them focused on objects of the same type. Methods to support the spatial geometric similarity computation for different types of objects are rare, a systematic theory index has not been developed yet, and there has not been a comprehensive computational model of spatial geometric similarity. In this study, we conducted an analysis of the spatial geometric similarity computation based on conformal geometric algebra (CGA), which has certain advantages in the quantitative computation of the measurement information of spatial objects and the qualitative judgment of the topological relations of spatial objects. First, we developed a unified expression model for spatial geometric scenes, integrating shapes of objects and spatial relations between them. Then, we established a model for the spatial geometric similarity computation under various geographical circumstances to provide a novel approach for spatial geometric similarity research. Finally, the computation model was verified through a case study. The study of spatial geometric similarity sheds light on spatial data retrieval, which has scientific significance and practical value.
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spelling pubmed-95185882022-09-29 Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra Jiang, Xiaomin Huang, Yangfei Zhang, Feng Int J Environ Res Public Health Article The study of spatial geometric similarity plays a significant role in spatial data retrieval. Many researchers have examined spatial geometric similarity, which is useful for spatial analysis and data retrieval. However, the majority of them focused on objects of the same type. Methods to support the spatial geometric similarity computation for different types of objects are rare, a systematic theory index has not been developed yet, and there has not been a comprehensive computational model of spatial geometric similarity. In this study, we conducted an analysis of the spatial geometric similarity computation based on conformal geometric algebra (CGA), which has certain advantages in the quantitative computation of the measurement information of spatial objects and the qualitative judgment of the topological relations of spatial objects. First, we developed a unified expression model for spatial geometric scenes, integrating shapes of objects and spatial relations between them. Then, we established a model for the spatial geometric similarity computation under various geographical circumstances to provide a novel approach for spatial geometric similarity research. Finally, the computation model was verified through a case study. The study of spatial geometric similarity sheds light on spatial data retrieval, which has scientific significance and practical value. MDPI 2022-08-30 /pmc/articles/PMC9518588/ /pubmed/36078512 http://dx.doi.org/10.3390/ijerph191710807 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Jiang, Xiaomin
Huang, Yangfei
Zhang, Feng
Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra
title Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra
title_full Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra
title_fullStr Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra
title_full_unstemmed Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra
title_short Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra
title_sort study on spatial geometric similarity based on conformal geometric algebra
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9518588/
https://www.ncbi.nlm.nih.gov/pubmed/36078512
http://dx.doi.org/10.3390/ijerph191710807
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