Geometry and ill-posed inverse problems

Pierre C. Sabatier

doi:10.1117/12.224150

9 October 1995 Geometry and ill-posed inverse problems

Pierre C. Sabatier

Proceedings Volume 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications; (1995) https://doi.org/10.1117/12.224150
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

The importance of a priori assumptions of a geometrical nature in ill-posed inverse problems is presented. It is illustrated by examples, dealing either with basic questions as uniqueness and stability, or with the way of constructing algorithms that stick at the physics of the problem. At least one of these examples, which may be called 'patchwork analysis', seems new.

Citation Download Citation

Pierre C. Sabatier "Geometry and ill-posed inverse problems", Proc. SPIE 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, (9 October 1995); https://doi.org/10.1117/12.224150

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