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Abstract

Acoustical imaging has a wide range of applications, like medical tomography, non-destructive testing and exploration geophysics among others. In geophysics, one application of acoustical imaging is seismic tomography, either ray tomography or diffraction tomography. Inverse problems are in practice ill-posed, in special, in seismic tomography when one has the socalled limited view angle problem. Thus, several methods have been proposed, like regularization techniques, and used in inverse problems in order to compensate the lack of information. In this work we use regularization as an auxiliar inverse procedure in geophysical diffraction tomography. Within the framework of scattering theory, we employ the first Born approximation, in the acoustic case to calculate the scattered field. The inverse problem is to recover the unknown object function from the known scattered field. Some attention is given to the selection of the regularization parameter where a new procedure, based on the L curve is suggested, what we call L modulus.

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/content/papers/10.3997/2214-4609-pdb.215.sbgf254
1999-08-15
2024-04-27
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http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609-pdb.215.sbgf254
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