Regularization of inverse problem by singular value filtration

Vitalij N. Kurashov; Alexandr G. Chumakov; Andry V. Kovalenko

doi:10.1117/12.224172

9 October 1995 Regularization of inverse problem by singular value filtration

Vitalij N. Kurashov, Alexandr G. Chumakov, Andry V. Kovalenko

Proceedings Volume 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications; (1995) https://doi.org/10.1117/12.224172
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

During ill-posed inverse problem solution authors discussed consecutive technology of account known a priori information. In the present paper they realized this technology as the unique filtration procedures of singular components or CK-components. Sample correlation and distortion operator are used for singular codebook calculation. Correlation and level of noise are used for regularization. The application of this technique for more complex stochastic objects will be subject in future investigations.

Citation Download Citation

Vitalij N. Kurashov, Alexandr G. Chumakov, and Andry V. Kovalenko "Regularization of inverse problem by singular value filtration", Proc. SPIE 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, (9 October 1995); https://doi.org/10.1117/12.224172

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