@Article{CiCP-11-271,
author = {Yaakov Olshansky and Eli Turkel},
title = {Simultaneous Scatterer Shape Estimation and Partial Aperture Far-Field Pattern Denoising},
journal = {Communications in Computational Physics},
year = {2012},
volume = {11},
number = {2},
pages = {271--284},
abstract = {<p style="text-align: justify;">We study the inverse problem of recovering the scatterer shape from the far-field pattern(FFP) in the presence of noise. Furthermore, only a discrete partial aperture is usually known. This problem is ill-posed and is frequently addressed using regularization. Instead, we propose to use a direct approach denoising the FFP using a filtering technique. The effectiveness of the technique is studied on a scatterer with the shape of the ellipse with a tower. The forward scattering problem is solved using the finite element method (FEM). The numerical FFP is additionally corrupted by Gaussian noise. The shape parameters are found based on a least-square error estimator. If&nbsp;<span style="text-align: justify;">ũ</span><sub style="text-align: justify; white-space: normal;">∞</sub> is a perturbation of the FFP then we attempt to find Γ, the scatterer shape, which minimizes ‖ u<sub>∞</sub>−ũ<sub>∞&nbsp;</sub>‖ using the conjugate gradient method for the denoised FFP.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.181109.011210s},
url = {http://global-sci.org/intro/article_detail/cicp/7361.html}
}