TY - JOUR
T1 - Simultaneous Scatterer Shape Estimation and Partial Aperture Far-Field Pattern Denoising
AU - Yaakov Olshansky & Eli Turkel
JO - Communications in Computational Physics
VL - 2
SP - 271
EP - 284
PY - 2012
DA - 2012/12
SN - 11
DO - http://doi.org/10.4208/cicp.181109.011210s
UR - https://global-sci.org/intro/article_detail/cicp/7361.html
KW - 
AB - <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>