Circle Fitting Using a Virtual Source Localization Algorithm in Wireless Sensor Networks
A novel circle fitting algorithm is proposed in this paper. The key points of this paper are given as follows: (i) it formulates the circle fitting problem into the special source localization one in wireless sensor networks (WSN); (ii) the multidimensional scaling (MDS) analysis is applied to the d...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-02-01
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| Series: | International Journal of Distributed Sensor Networks |
| Online Access: | https://doi.org/10.1155/2013/203719 |
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| _version_ | 1850232017299439616 |
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| author | Junli Liang Miaohua Zhang Xianju Zeng Kexin Zhao Jian Li |
| author_facet | Junli Liang Miaohua Zhang Xianju Zeng Kexin Zhao Jian Li |
| author_sort | Junli Liang |
| collection | DOAJ |
| description | A novel circle fitting algorithm is proposed in this paper. The key points of this paper are given as follows: (i) it formulates the circle fitting problem into the special source localization one in wireless sensor networks (WSN); (ii) the multidimensional scaling (MDS) analysis is applied to the data points, and thus the propagator-like method is proposed to represent the circle center parameters as the functions of the circle radius; (iii) the virtual source localization model can be rerepresented as special nonlinear equations of a unique variable (the circle radius) rather than the original three ones (the circle center and radius), and thus the classical fixed-point iteration algorithm is applied to determine the radius and the circle center parameters. The effectiveness of the proposed circle fitting approach is demonstrated using the simulation and experimental results. |
| format | Article |
| id | doaj-art-039def981ce745a3bbbbf5f4a547c552 |
| institution | OA Journals |
| issn | 1550-1477 |
| language | English |
| publishDate | 2013-02-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Distributed Sensor Networks |
| spelling | doaj-art-039def981ce745a3bbbbf5f4a547c5522025-08-20T02:03:19ZengWileyInternational Journal of Distributed Sensor Networks1550-14772013-02-01910.1155/2013/203719Circle Fitting Using a Virtual Source Localization Algorithm in Wireless Sensor NetworksJunli Liang0Miaohua Zhang1Xianju Zeng2Kexin Zhao3Jian Li4 University of Florida, Gainesville, FL 32611, USA Xi'an University of Technology, Xi'an 710048, China College of Management, Shenzhen University, Shenzhen 518060, China University of Florida, Gainesville, FL 32611, USA University of Florida, Gainesville, FL 32611, USAA novel circle fitting algorithm is proposed in this paper. The key points of this paper are given as follows: (i) it formulates the circle fitting problem into the special source localization one in wireless sensor networks (WSN); (ii) the multidimensional scaling (MDS) analysis is applied to the data points, and thus the propagator-like method is proposed to represent the circle center parameters as the functions of the circle radius; (iii) the virtual source localization model can be rerepresented as special nonlinear equations of a unique variable (the circle radius) rather than the original three ones (the circle center and radius), and thus the classical fixed-point iteration algorithm is applied to determine the radius and the circle center parameters. The effectiveness of the proposed circle fitting approach is demonstrated using the simulation and experimental results.https://doi.org/10.1155/2013/203719 |
| spellingShingle | Junli Liang Miaohua Zhang Xianju Zeng Kexin Zhao Jian Li Circle Fitting Using a Virtual Source Localization Algorithm in Wireless Sensor Networks International Journal of Distributed Sensor Networks |
| title | Circle Fitting Using a Virtual Source Localization Algorithm in Wireless Sensor Networks |
| title_full | Circle Fitting Using a Virtual Source Localization Algorithm in Wireless Sensor Networks |
| title_fullStr | Circle Fitting Using a Virtual Source Localization Algorithm in Wireless Sensor Networks |
| title_full_unstemmed | Circle Fitting Using a Virtual Source Localization Algorithm in Wireless Sensor Networks |
| title_short | Circle Fitting Using a Virtual Source Localization Algorithm in Wireless Sensor Networks |
| title_sort | circle fitting using a virtual source localization algorithm in wireless sensor networks |
| url | https://doi.org/10.1155/2013/203719 |
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