Circle Fitting Using a Virtual Source Localization Algorithm in Wireless Sensor Networks

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Abstract
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.
Funding Information
  • National Natural Science Foundation of China (61172123, 60901059, 12JK0526)
  • National Natural Science Foundation of China (61172123, 60901059, 12JK0526)
  • Educational Department Foundation of Shaanxi Province (61172123, 60901059, 12JK0526)

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