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APPLICATION OF B-SPLINE IN RECONSTRUCTION OF 2-D CONDUCTOR CROSS-SECTION |
Yu Chunyang; Dong Xiaolong; Wang Wenbing |
Xi'an Jiaotong University, Xi'an 710049 |
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Abstract B-spline is applied to the reconstruction of 2-D conductor cross-section via backscat-tered field in near region illuminated by plane waves with different incident directions. The whole inverse problem may be viewed as a two-stage optimal procedure, and the optimal algorithm based on gradient, such as BFGS algorithm, is adopted as the gradient of the objective functions which may be derived by using Frechet differential. In the first step, the position and the radius of optimal circular cylinder are obtained, then in the second step, with above results as its initial values, the shape of 2-D cylinder can be reconstructed. The robustness of the proposed method is tested using different numerical results, and the effects of noise are discussed.
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Received: 09 December 1994
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