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011231s2001 ne a ob 000 0 eng d |
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|a 922950231
|a 961564963
|a 962659896
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|a 9783110940930
|q (e-book)
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|a 3110940930
|q (e-book)
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|z 9783110364125
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|b BV044053938
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|a (OCoLC)903969817
|z (OCoLC)922950231
|z (OCoLC)961564963
|z (OCoLC)962659896
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4 |
|a QA639.5
|b .L38 2001eb
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| 082 |
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|a 516
|2 21
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Lavrentʹev, M. M.
|q (Mikhail Mikhaĭlovich),
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PBJqBt366PhWTYF3xt8Kcfq
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| 245 |
1 |
0 |
|a Computer modelling in tomography and ill-posed problems /
|c M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov.
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| 264 |
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1 |
|a Utrecht ;
|a Boston :
|b VSP,
|c 2001.
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| 300 |
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|a 1 online resource (136 pages) :
|b illustrations
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Inverse and ill-posed problems series
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| 504 |
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|a Includes bibliographical references.
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| 505 |
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|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.
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| 588 |
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|a Print version record.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Geometric tomography.
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| 650 |
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0 |
|a Inverse problems (Differential equations)
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| 650 |
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6 |
|a Tomographie (Mathématiques)
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| 650 |
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6 |
|a Problèmes inverses (Équations différentielles)
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| 650 |
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7 |
|a Geometric tomography
|2 fast
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| 650 |
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7 |
|a Inverse problems (Differential equations)
|2 fast
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| 700 |
1 |
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|a Zerkal, S. M.,
|e author.
|
| 700 |
1 |
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|a Trofimov, O. E.
|q (Oleg Evgenʹevich),
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjDTDGG938bhBvtD4whwT3
|
| 758 |
|
|
|i has work:
|a Computer modelling in tomography and ill-posed problems (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGBgmb7QfPB6fJjXmBtyJP
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 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
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| 830 |
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0 |
|a Inverse and ill-posed problems series.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3049437
|z Texto completo
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| 936 |
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|a BATCHLOAD
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|a EBL - Ebook Library
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|a ebrary
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|a ProQuest MyiLibrary Digital eBook Collection
|b IDEB
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|a YBP Library Services
|b YANK
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