Fourier descriptors for parametric shape estimation in inverse scattering problems

Jong Chul Ye; Yoram Bresler; Pierre Moulin

doi:10.1117/12.395082

4 August 2000 Fourier descriptors for parametric shape estimation in inverse scattering problems

Jong Chul Ye, Yoram Bresler, Pierre Moulin

Proceedings Volume 4052, Signal Processing, Sensor Fusion, and Target Recognition IX; (2000) https://doi.org/10.1117/12.395082
Event: AeroSense 2000, 2000, Orlando, FL, United States

Abstract

We present new methods for computing fundamental performance limits for parametric shape estimation in inverse scattering problems, such as passive radar imaging. We evaluate Cramer- Rao lower bounds (CRB) on shape estimation accuracy using the domain derivative technique from nonlinear inverse scattering theory. The CRB provides an unbeatable performance limit for nay unbiased estimator, and under fairly mild regularity conditions, is asymptotically achieved by the maximum likelihood estimator (MLE). Furthermore, the resultant CRBs are used to define a global confidence region, centered around the true boundary, in which the boundary estimate lies with a prescribed probability. These global confidence regions conveniently display the uncertainty in various geometric parameters such as shape, size, orientation, and position of the estimated target, and facilitate geometric inferences. Numerical simulations are performed using the layer approach and the Nystrom method for computation of domain derivatives, and using Fourier descriptors for target shape parameterization. This analysis demonstrates the accuracy and generality of the proposed methods.

Citation Download Citation

Jong Chul Ye, Yoram Bresler, and Pierre Moulin "Fourier descriptors for parametric shape estimation in inverse scattering problems", Proc. SPIE 4052, Signal Processing, Sensor Fusion, and Target Recognition IX, (4 August 2000); https://doi.org/10.1117/12.395082

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