An Application of a Fixed Point Iteration Method to Object Reconstruction

作者:Bazan F S V*; Leem K H; Pelekanos G
来源:Progress in Electromagnetics Research Symposium, 2010-03-22 to 2010-03-26.

摘要

Kirsch's factorization method is a fast inversion technique for visualizing the profile of a scatterer from measurements of the far-field pattern. The mathematical basis of this method is given by the far-field equation, which is a Fredholm integral equation of the first kind in which the data function is a known analytic function and the integral kernel is the measured (and therefore noisy) far field pattern. We present a Tikhonov parameter choice approach based on a fast fixed point iteration method which constructs a regularization parameter associated with the corner of the L-curve in log-log scale. The performance of the method is evaluated by comparing our reconstructions with those obtained via the L-curve and we conclude that our method yields reliable reconstructions at a lower computational cost than the L-curve.

  • 出版日期2010