The last decades of the 20th century were marked by the appearance of anew field of mathematics: computerized tomography. Its theory forms thebasis for the solution of many applied problems. The methods ofcomputerized tomography make it possible study the interior structure ofa body by examining the characteristics of radiation passing through theobject under study (transmission tomography). Depending on the type ofradiation used, X-ray, optical, seismic, and some other kinds oftomography can be distinguished. Comparatively weakly researched,untraditional tomography problems are being solved because of newachievements in calculation mathematics and the theory of ill-posedproblems (3D cone-beam tomography, geo-tomography).
Experiments show possibilities and applicability of algorithms ofprocessing tomography data. This monograph is devoted to consideringthese problems in connection with series of ill-posed problems intomography settings, arising from practice. The basic themes of the bookare: mathematical basis of the method of computerized tomography;algorithms for 3D cone-beam tomography; and inverse kinematics problemsin tomographic settings (geo-tomography).
This volume in the Inverse and Ill-Posed Problems Series willbe of interest to researchers, graduates and post-graduates in X-ray,optical, seismic, as well as some other kinds of tomography in bothacademia and industry.
2001; viii+128 pages ISBN 90-6764-350-5 Price (all prices are subject to change without notice): EUR 103/US$ 147
