Globally convergent numerical method in diffusion tomography

Michael V. Klibanov

doi:10.1117/12.224151

9 October 1995 Globally convergent numerical method in diffusion tomography

Michael V. Klibanov

Proceedings Volume 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications; (1995) https://doi.org/10.1117/12.224151
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

We present a fundamentally novel mathematical algorithm for reconstruction of small inclusion hidden in the diffuse background. This is a numerical method with an a priori guaranteed global convergence. Our theory, which we call Carleman's Weight Method, assures that this technique should provide images with the finest possible resolution. Work on numerical testing is in progress. We also provide a brief historical survey for inverse versus forward problems.

Citation Download Citation

Michael V. Klibanov "Globally convergent numerical method in diffusion tomography", Proc. SPIE 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, (9 October 1995); https://doi.org/10.1117/12.224151

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