TY - JOUR T1 - Simultaneous Scatterer Shape Estimation and Partial Aperture Far-Field Pattern Denoising 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 -

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 ũ is a perturbation of the FFP then we attempt to find Γ, the scatterer shape, which minimizes ‖ u−ũ∞ ‖ using the conjugate gradient method for the denoised FFP.