Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds

Chan, Ting On; Sun, Yeran; Yu, Jiayong; Zeng, Juan; Liu, Lixin

doi:10.3390/sym13112011

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Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds

Ting On Chan, Yeran Sun, Jiayong Yu, Juan Zeng, Lixin Liu

Symmetry, Volume: 13, Issue: 11, Start page: 2011

Swansea University Author: Yeran Sun

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DOI (Published version): 10.3390/sym13112011

Abstract

The Chinese paifang is an essential constituent element for Chinese or many other oriental architectures. In this paper, a new method for detection and analysis of the reflection symmetry of the paifang based on 3D point clouds is proposed. The method invokes a new model to simultaneously fit two ve...

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Published in:	Symmetry
ISSN:	2073-8994
Published:	MDPI AG 2021
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URI:	https://cronfa.swan.ac.uk/Record/cronfa58592
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spelling	2021-11-26T18:35:32.8031616 v2 58592 2021-11-10 Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds 10382520ce790248e1be61a6a9003717 Yeran Sun Yeran Sun true false 2021-11-10 The Chinese paifang is an essential constituent element for Chinese or many other oriental architectures. In this paper, a new method for detection and analysis of the reflection symmetry of the paifang based on 3D point clouds is proposed. The method invokes a new model to simultaneously fit two vertical planes of symmetry to the 3D point cloud of a paifang to support further symmetry analysis. Several simulated datasets were used to verify the proposed method. The results indicated that the proposed method was able to quantity the symmetry of a paifang in terms of the RMSE obtained from the ICP algorithm, with resistance to the presence of some random noise added to the simulated measurements. For real datasets, three old Chinese paifangs (with ages from 90 to 500 years) were scanned as point clouds to input into the proposed method. The method quantified the degree of symmetry for the three Chinese paifangs in terms of the RMSE, which ranged from 20 to 61 mm. One of the paifangs with apparent asymmetry had the highest RMSE (61 mm). Other than the quantification of the symmetry of the paifangs, the proposed method could also locate which portion of the paifang was relatively more symmetric. The proposed method can potentially be used for structural health inspection and cultural studies of the Chinese paifangs and some other similar architecture. Journal Article Symmetry 13 11 2011 MDPI AG 2073-8994 symmetry; paifang; point cloud; geometric modeling 23 10 2021 2021-10-23 10.3390/sym13112011 COLLEGE NANME COLLEGE CODE Swansea University National Natural Science Foundation of China (No. 51978675) and the National Natural Science Foundation of China (No. 42106180). 2021-11-26T18:35:32.8031616 2021-11-10T10:00:40.2711786 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Geography Ting On Chan 1 Yeran Sun 2 Jiayong Yu 3 Juan Zeng 4 Lixin Liu 5 58592__21704__21992ece51cc4af491f2d1c3d9ce2965.pdf 58592.pdf 2021-11-26T18:34:01.7740731 Output 3597238 application/pdf Version of Record true © 2021 by the authors. This is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license true eng https://creativecommons.org/licenses/by/4.0/
title	Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds
spellingShingle	Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds Yeran Sun
title_short	Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds
title_full	Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds
title_fullStr	Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds
title_full_unstemmed	Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds
title_sort	Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds
author_id_str_mv	10382520ce790248e1be61a6a9003717
author_id_fullname_str_mv	10382520ce790248e1be61a6a9003717_***_Yeran Sun
author	Yeran Sun
author2	Ting On Chan Yeran Sun Jiayong Yu Juan Zeng Lixin Liu
format	Journal article
container_title	Symmetry
container_volume	13
container_issue	11
container_start_page	2011
publishDate	2021
institution	Swansea University
issn	2073-8994
doi_str_mv	10.3390/sym13112011
publisher	MDPI AG
college_str	Faculty of Science and Engineering
hierarchytype
hierarchy_top_id	facultyofscienceandengineering
hierarchy_top_title	Faculty of Science and Engineering
hierarchy_parent_id	facultyofscienceandengineering
hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Biosciences, Geography and Physics - Geography{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Geography
document_store_str	1
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description	The Chinese paifang is an essential constituent element for Chinese or many other oriental architectures. In this paper, a new method for detection and analysis of the reflection symmetry of the paifang based on 3D point clouds is proposed. The method invokes a new model to simultaneously fit two vertical planes of symmetry to the 3D point cloud of a paifang to support further symmetry analysis. Several simulated datasets were used to verify the proposed method. The results indicated that the proposed method was able to quantity the symmetry of a paifang in terms of the RMSE obtained from the ICP algorithm, with resistance to the presence of some random noise added to the simulated measurements. For real datasets, three old Chinese paifangs (with ages from 90 to 500 years) were scanned as point clouds to input into the proposed method. The method quantified the degree of symmetry for the three Chinese paifangs in terms of the RMSE, which ranged from 20 to 61 mm. One of the paifangs with apparent asymmetry had the highest RMSE (61 mm). Other than the quantification of the symmetry of the paifangs, the proposed method could also locate which portion of the paifang was relatively more symmetric. The proposed method can potentially be used for structural health inspection and cultural studies of the Chinese paifangs and some other similar architecture.
published_date	2021-10-23T04:15:14Z
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Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds

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