Sonic Imaging

Frank Natterer ()
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Frank Natterer: University of Münster, Department of Mathematics and Computer Science

A chapter in Handbook of Mathematical Methods in Imaging, 2015, pp 1253-1278 from Springer

Abstract: Abstract This paper deals with the inverse problem of the wave equation, which is of relevance in fields such as ultrasound tomography, seismic imaging, and nondestructive testing. We study the linearized problem by Fourier analysis, and we describe an iterative reconstruction method for the fully nonlinear problem in the time domain. We discuss practical problems such as the spectral incompleteness in reflection imaging and finding a good initial approximation. We demonstrate by numerical reconstructions from synthetic data what can be achieved.

Keywords: Inverse Problem; Nonlinear Problem; Inverse Scattering; Born Approximation; Transmission Imaging (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0790-8_37

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DOI: 10.1007/978-1-4939-0790-8_37

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