An Alternative to Tikhonov Regularization for Linear Sampling Methods
The problem of determining the shape of an obstacle from far-field measurements is considered. It is well known that linear sampling methods have been widely used for shape reconstructions obtained via the singular system of an ill conditioned discretized far-field operator. For our reconstructions...
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| Veröffentlicht in: | Acta applicandae mathematicae 2010-11, Vol.112 (2), p.171-180 |
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| container_title | Acta applicandae mathematicae |
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| creator | Kim, K. Leem, K. H. Pelekanos, G. |
| description | The problem of determining the shape of an obstacle from far-field measurements is considered. It is well known that linear sampling methods have been widely used for shape reconstructions obtained via the singular system of an ill conditioned discretized far-field operator. For our reconstructions we assume that the far-field data are noisy and we employ a novel regularization method that does not require determination of a regularization parameter. |
| doi_str_mv | 10.1007/s10440-009-9558-6 |
| format | Article |
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| ispartof | Acta applicandae mathematicae, 2010-11, Vol.112 (2), p.171-180 |
| issn | 0167-8019 1572-9036 |
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| subjects | Applications of Mathematics Calculus of Variations and Optimal Control Optimization Computational Mathematics and Numerical Analysis Helmholtz equations Inverse problems Mathematics Mathematics and Statistics Noise Partial Differential Equations Probability Theory and Stochastic Processes Regularization methods Sampling techniques Scattering Studies |
| title | An Alternative to Tikhonov Regularization for Linear Sampling Methods |
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