Computer Modelling in Tomography and Ill-Posed Problems (Inverse and Ill-Posed Problems)

Comparatively weakly researched untraditional tomography problems are solved because of new achievements in calculation mathematics and the theory of ill-posed problems, the regularization process of solving ill-posed problems, and the increase of stability. Experiments show possibilities and applicability of algorithms of processing tomography data. This monograph is devoted to considering these problems in connection with series of ill-posed problems in tomography settings arising from practice.The book includes chapters to the following themes:

• Mathematical basis of the method of computerized tomography
• Cone-beam tomography reconstruction
• Inverse kinematic problem in the tomographic setting

Mikhail M. Lavrent'ev †; Sergei M. Zerkal, Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Russia; Oleg E. Trofimov, Institute of Automation and Electrometry, Russian Academy of Sciences, Novosibirsk, Russia.