Circle fitting using a virtual source localization algorithm in wireless sensor networks

J Liang, M Zhang, X Zeng, K Zhao… - International Journal of …, 2013 - journals.sagepub.com
J Liang, M Zhang, X Zeng, K Zhao, J Li
International Journal of Distributed Sensor Networks, 2013journals.sagepub.com
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 …
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.
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