Computer modelling in tomography and ill-posed problems /

Computer modelling in tomography and ill-posed problems /

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Bibliographic Details
Main Authors: Lavrentʹev, M. M. (Mikhail Mikhaĭlovich) (Author), Zerkal, S. M. (Author), Trofimov, O. E. (Oleg Evgenʹevich) (Author)
Format: Electronic eBook
Language:English
Published: Utrecht ; Boston : VSP, 2001.
Series:Inverse and ill-posed problems series.
Subjects:
Geometric tomography.
Inverse problems (Differential equations)
Electronic books.
Online Access:An electronic book accessible through the World Wide Web; click to view
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MARC

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020 |z 9783110364125 
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035 |a (OCoLC)903969817 
040 |a CaPaEBR  |b eng  |e rda  |e pn  |c CaPaEBR 
050 1 4 |a QA639.5  |b .L38 2001eb 
082 0 4 |a 516  |2 21 
100 1 |a Lavrentʹev, M. M.  |q (Mikhail Mikhaĭlovich),  |e author. 
245 1 0 |a Computer modelling in tomography and ill-posed problems /  |c M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov. 
264 1 |a Utrecht ;  |a Boston :  |b VSP,  |c 2001. 
300 |a 1 online resource (136 pages) :  |b illustrations. 
336 |a text  |2 rdacontent 
337 |a computer  |2 rdamedia 
338 |a online resource  |2 rdacarrier 
490 1 |a Inverse and ill-posed problems series 
504 |a Includes bibliographical references. 
505 8 |a 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. 
588 |a Description based on print version record. 
590 |a Electronic reproduction. Palo Alto, Calif. : ebrary, 2015. Available via World Wide Web. Access may be limited to ebrary affiliated libraries. 
650 0 |a Geometric tomography. 
650 0 |a Inverse problems (Differential equations) 
655 0 |a Electronic books. 
700 1 |a Zerkal, S. M.,  |e author. 
700 1 |a Trofimov, O. E.  |q (Oleg Evgenʹevich),  |e author. 
776 0 8 |i Print version:  |a Lavrentʹev, M. M.  |t Computer modelling in tomography and ill-posed problems.  |d Utrecht : VSP, 2001  |h iv, 128 pages ; 25 cm.  |k Inverse and ill-posed problems series  |z 9783110364125  |w (DLC) 2001281505 
797 2 |a ebrary. 
830 0 |a Inverse and ill-posed problems series. 
856 4 0 |u http://site.ebrary.com/lib/daystar/Doc?id=11008785  |z An electronic book accessible through the World Wide Web; click to view 
908 |a 170314 
942 0 0 |c EB 
999 |c 180195  |d 180195 

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