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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| Published in: | Mathematical problems in engineering Vol. 2021; pp. 1 - 8 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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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 |
| References_xml | – ident: 1 doi: 10.1016/j.isprsjprs.2015.01.002 – ident: 10 doi: 10.1007/s00158-014-1224-6 – volume-title: GIS Algorithm Basis year: 2006 ident: 23 – volume: 8 issue: 5 year: 2016 ident: 3 article-title: Automatic forest mapping at individual tree levels from terrestrial laser scanning point clouds with a hierarchical minimum cut method publication-title: Remote Sensing – ident: 16 doi: 10.3390/s90705241 – ident: 13 doi: 10.14358/pers.73.7.805 – volume: 40 start-page: 144 issue: 8 year: 2019 ident: 5 article-title: Measurement of agricultural machinery operation area based on improved alpha shapes algorithm publication-title: Journal of Chinese Agricultural Mechanization – volume: 16 start-page: 1596 issue: 6 year: 2007 ident: 9 article-title: Image super-resolution using support vector regression publication-title: IEEE Transactions on Image Processing doi: 10.1109/TIP.2007.896644 – volume: 33 start-page: 1 issue: 11 year: 2016 ident: 18 article-title: Extraction of building contour from point clouds using dual threshold alpha shapes algorithm publication-title: Journal of Yangtze River Scientific Research Institute – ident: 7 doi: 10.1109/38.988747 – volume: 46 start-page: 213 issue: 36 year: 2010 ident: 19 article-title: Novel algorithm for fast extracting edges from massive point clouds publication-title: Computer Engineering and Applications – ident: 15 doi: 10.1145/174462.156635 – start-page: 231 ident: 12 article-title: Computing the Shape Hull of Points in the Plane – volume: 12 start-page: 692 issue: 5 year: 2008 ident: 17 article-title: Algorithms study of building boundary extraction and normalization based on lidar data publication-title: Journal of Remote Sensing – volume: 36 start-page: 214 issue: 22 year: 2020 ident: 22 article-title: Three-dimensional model construction method and experiment of jujube tree point cloud using alpha-shape algorithm publication-title: Transactions of the Chinese Society of Agricultural Engineering – volume: 46 start-page: 1509 issue: 10 year: 2017 ident: 4 article-title: Progress, challenges and perspectives of 3D lidar point cloud processing publication-title: Acta Geodaetica et Cartographica Sinica – volume: 2018 start-page: 91 issue: 12 year: 2018 ident: 21 article-title: Construction of tree crown three-dimensional model of using alpha-shape algorithm publication-title: Bulletin of Surveying and Mapping – ident: 14 doi: 10.1109/tit.1983.1056714 – ident: 8 doi: 10.1007/s00371-003-0207-1 – volume: 34 start-page: 491 issue: 3 year: 2019 ident: 20 article-title: Surface reconstruction algorithm using self-adaptive step alpha-shape publication-title: Journal of Data Acquisition and Processing – ident: 2 doi: 10.1016/j.isprsjprs.2016.07.002 – ident: 11 doi: 10.1016/0020-0190(72)90045-2 – volume: 44 start-page: 1 issue: 1 year: 2017 ident: 24 article-title: A semi-automatic 3D point cloud classification method based on the probability mixture of local shape features publication-title: Journal of Zhejiang University: Science Edition – volume: 34 start-page: 1381 issue: 9 year: 2011 ident: 6 article-title: Research on DTM TIN generation algorithm considering border restriction publication-title: Journal of Hefei University of Technology (Natural Science Edition) |
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| Title | Grid Partition Variable Step Alpha Shapes Algorithm |
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