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9 December 1997 Generating piece-wise continuous models for electromagnetic inverse problems
Hugo Hidalgo Silva, Jose Luis Marroquin Zaleta, Enrique Gomez-Trevino
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Proceedings Volume 3171, Computational, Experimental, and Numerical Methods for Solving Ill-Posed Inverse Imaging Problems: Medical and Nonmedical Applications; (1997) https://doi.org/10.1117/12.284715
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States
Abstract
This paper addresses the problem of constructing electrical conductivity models of the earth from surface electro- magnetic measurements. The construction of these models is a nonlinear inverse problem that can be approached by linearizing the corresponding functional and applying iterative techniques such as Tikhonov's regularization. The standard application of these techniques usually leads to smooth models that represent a continuous variation of conductivity with depth. In this work we describe how these methods can be modified to incorporate what is known in Computer Vision as the line process (LP) decoupling technique, which has the ability to include discontinuities in the models. This results in piecewise smooth models which are often more adequate for representing stratified media. We implemented a relaxation technique to construct these types of models and present numerical experiments and applications to field data. These examples illustrate the performance of the combined LP and Tikhonov's regularization method.
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Hugo Hidalgo Silva, Jose Luis Marroquin Zaleta, and Enrique Gomez-Trevino "Generating piece-wise continuous models for electromagnetic inverse problems", Proc. SPIE 3171, Computational, Experimental, and Numerical Methods for Solving Ill-Posed Inverse Imaging Problems: Medical and Nonmedical Applications, (9 December 1997); https://doi.org/10.1117/12.284715
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KEYWORDS
Inverse problems
Visual process modeling
Electromagnetism
Data modeling
Computer vision technology
Machine vision
Magnetism
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