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9 October 1995 Globally convergent numerical method in diffusion tomography
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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.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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