Computer modelling in tomography and ill-posed problems /
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Utrecht ; Boston :
VSP,
2001.
|
| Series: | Inverse and ill-posed problems series.
|
| Subjects: | |
| Online Access: | An electronic book accessible through the World Wide Web; click to view |
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| 020 | |z 9783110364125 | ||
| 020 | |a 9783110940930 (e-book) | ||
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| 035 | |a (OCoLC)903969817 | ||
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| 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 | ||