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<図書>
Computer modelling in tomography and III-posed problems

責任表示 M. M. Lavrent'ev, S. M. Zerkal and O. E. Trofimov
シリーズ Inverse and ill-posed problems series
データ種別 図書
出版者 Utrecht : VSP
出版年 2001
本文言語 英語
大きさ iv, 128 p. : ill. ; 25 cm
目次 Machine generated contents note: Chapter 1. Mathematical basis of the method of computerized
tomography 11
1.1. Basic notions of the theory of ill-posed problems11
1.2. Problem of integral geometry16
1.3. The Radon transform18
1.4. Radon problem as an example of an ill-posed problem20
1.5. The algorithm of inversion of the two-dimensional Radon
transform based on the convolution with the generalized
function l/z225
Chapter 2. Cone-beam tomography reconstruction 33
2.1. Reducing the inversion formulas of cone-beam tomography recont
struction to the form convenient for constructing numerical
algorithm s33
2.2. Elements of the theory of generalized functions in application to
problems of inversion of the ray transformation45
2.3. The relations between the Radon, Fourier,
and ray transformations51
Chapter 3. Inverse kinematic problem
in the tomographic setting 55
3.1. Direct kinematic problem and numerical solution
for three-dimensional regular media55
3.2. Formulation of the inverse kinematic problem with the use of
a tomography system of data gathering66
3.3. Deduction of the basic inversion formula and the algorithm of
solving the inverse kinematic problem in
three-dimensional linearized formulation68
3.4. Model experiment and numerical study of the algorithm79
3.5. Solution of the inverse kinematic problem by the method of
computerized tomography for media with opaque inclusions 98
Appendix: Reconstruction with the use
of the standard model 112
Bibliography 119.
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所蔵情報


理系図3F 数理独自 023212001008096 LAVR/20/2 2001

書誌詳細

一般注記 Bibliography: p[119]-128
著者標目 Lavrent'ev, M. M.
Zerkal, S. M.
Trofimov O. E.
書誌ID 1001395227
ISBN 9067643505
NCID BA55569997
巻冊次 ISBN:9067643505
登録日 2009.11.02
更新日 2009.11.02