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• W3099849131 abstract "Many non-iterative imaging algorithms require a large number of incident directions. Topological derivative-based imaging techniques can alleviate this problem, but lacks a theoretical background and a definite means of selecting the optimal incident directions. In this paper, we rigorously analyze the mathematical structure of a topological derivative imaging function, confirm why a small number of incident directions is sufficient, and explore the optimal configuration of these directions. To this end, we represent the topological derivative based imaging function as an infinite series of Bessel functions of integer order of the first kind. Our analysis is supported by the results of numerical simulations." @default.
• W3099849131 created "2020-11-23" @default.
• W3099849131 creator A5064579474 @default.
• W3099849131 date "2017-12-07" @default.
• W3099849131 modified "2023-09-27" @default.
• W3099849131 title "Topological derivative-based technique for imaging thin inhomogeneities with few incident directions" @default.
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• W3099849131 doi "https://doi.org/10.1080/17415977.2017.1411913" @default.
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