Grid Partition Variable Step Alpha Shapes Algorithm
On the basis of Alpha Shapes boundary extraction algorithm for discrete point set, a grid partition variable step Alpha Shapes algorithm is proposed to deal with the shortcomings of the original Alpha Shapes algorithm in the processing of nonuniform distributed point set and multiconcave point set....
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| Vydáno v: | Mathematical problems in engineering Ročník 2021; s. 1 - 8 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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New York
Hindawi
18.05.2021
John Wiley & Sons, Inc |
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| ISSN: | 1024-123X, 1563-5147 |
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| Abstract | On the basis of Alpha Shapes boundary extraction algorithm for discrete point set, a grid partition variable step Alpha Shapes algorithm is proposed to deal with the shortcomings of the original Alpha Shapes algorithm in the processing of nonuniform distributed point set and multiconcave point set. Firstly, the grid partition and row-column index table are established for the point set, and the point set of boundary grid partition is quickly extracted. Then, the average distance of the k-nearest neighbors of the point is calculated as the value of α. For the point set of boundary grid partition extracted in the previous step, Alpha Shapes algorithm is used to quickly construct the point set boundary. The proposed algorithm is verified by experiments of simulated point set and measured point set, and it has high execution efficiency. Compared with similar algorithms, the larger the number of point sets is, the more obvious the execution efficiency is. |
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| AbstractList | On the basis of Alpha Shapes boundary extraction algorithm for discrete point set, a grid partition variable step Alpha Shapes algorithm is proposed to deal with the shortcomings of the original Alpha Shapes algorithm in the processing of nonuniform distributed point set and multiconcave point set. Firstly, the grid partition and row-column index table are established for the point set, and the point set of boundary grid partition is quickly extracted. Then, the average distance of the k-nearest neighbors of the point is calculated as the value of α. For the point set of boundary grid partition extracted in the previous step, Alpha Shapes algorithm is used to quickly construct the point set boundary. The proposed algorithm is verified by experiments of simulated point set and measured point set, and it has high execution efficiency. Compared with similar algorithms, the larger the number of point sets is, the more obvious the execution efficiency is. On the basis of Alpha Shapes boundary extraction algorithm for discrete point set, a grid partition variable step Alpha Shapes algorithm is proposed to deal with the shortcomings of the original Alpha Shapes algorithm in the processing of nonuniform distributed point set and multiconcave point set. Firstly, the grid partition and row-column index table are established for the point set, and the point set of boundary grid partition is quickly extracted. Then, the average distance of the k -nearest neighbors of the point is calculated as the value of α . For the point set of boundary grid partition extracted in the previous step, Alpha Shapes algorithm is used to quickly construct the point set boundary. The proposed algorithm is verified by experiments of simulated point set and measured point set, and it has high execution efficiency. Compared with similar algorithms, the larger the number of point sets is, the more obvious the execution efficiency is. |
| Author | Liao, Zhenxiu Shi, Guodong Meng, Junxia Liu, Jun |
| Author_xml | – sequence: 1 givenname: Zhenxiu orcidid: 0000-0002-7130-7937 surname: Liao fullname: Liao, Zhenxiu organization: School of Civil EngineeringAnhui Jianzhu UniversityHefeiAnhui Province 230601Chinaahjzu.edu.cn – sequence: 2 givenname: Jun surname: Liu fullname: Liu, Jun organization: School of Civil EngineeringAnhui Jianzhu UniversityHefeiAnhui Province 230601Chinaahjzu.edu.cn – sequence: 3 givenname: Guodong surname: Shi fullname: Shi, Guodong organization: School of Civil EngineeringAnhui Jianzhu UniversityHefeiAnhui Province 230601Chinaahjzu.edu.cn – sequence: 4 givenname: Junxia surname: Meng fullname: Meng, Junxia organization: School of Civil EngineeringAnhui Jianzhu UniversityHefeiAnhui Province 230601Chinaahjzu.edu.cn |
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| Cites_doi | 10.1016/j.isprsjprs.2015.01.002 10.1007/s00158-014-1224-6 10.3390/s90705241 10.14358/pers.73.7.805 10.1109/TIP.2007.896644 10.1109/38.988747 10.1145/174462.156635 10.1109/tit.1983.1056714 10.1007/s00371-003-0207-1 10.1016/j.isprsjprs.2016.07.002 10.1016/0020-0190(72)90045-2 |
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| Copyright | Copyright © 2021 Zhenxiu Liao et al. Copyright © 2021 Zhenxiu Liao et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| References | 11 S. L. Li (20) 2019; 34 13 Z. X. Liao (6) 2011; 34 14 15 16 Y. X. Fu (22) 2020; 36 H. J. Li (24) 2017; 44 Q. Li (21) 2018; 2018 S. N. Karl (9) 2007; 16 1 2 Y. F. Li (18) 2016; 33 7 B. S. Yang (3) 2016; 8 8 H. Zhang (23) 2006 B. S. Yang (4) 2017; 46 Y. Z. Sun (5) 2019; 40 W. Shen (17) 2008; 12 R. A. Jarvis (12) Z. Y. Wang (19) 2010; 46 10 |
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| Title | Grid Partition Variable Step Alpha Shapes Algorithm |
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