The Resource Computer modelling in tomography and ill-posed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
Computer modelling in tomography and ill-posed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
- Language
- eng
- Extent
- 1 online resource (136 pages)
- Contents
-
- 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
- Isbn
- 9783110940930
- Label
- Computer modelling in tomography and ill-posed problems
- Title
- Computer modelling in tomography and ill-posed problems
- Statement of responsibility
- M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
- Language
- eng
- Cataloging source
- MiAaPQ
- Illustrations
- illustrations
- Index
- no index present
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- Inverse and ill-posed problems series
- Label
- Computer modelling in tomography and ill-posed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
- Link
- http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/connectny/detail.action?docID=3049437
- Bibliography note
- Includes bibliographical references
- Carrier category
- online resource
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type MARC source
- rdacontent
- Contents
- 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
- http://library.link/vocab/cover_art
- https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783110940930&userID=ebsco-test&password=ebsco-test
- Dimensions
- unknown
- http://library.link/vocab/discovery_link
- {'f': 'http://opac.lib.rpi.edu/record=b4100253'}
- Extent
- 1 online resource (136 pages)
- Form of item
- online
- Isbn
- 9783110940930
- Isbn Type
- (e-book)
- Media category
- computer
- Media MARC source
- rdamedia
- Other physical details
- illustrations.
- Sound
- unknown sound
- Specific material designation
- remote
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Computer-modelling-in-tomography-and-ill-posed/W9OjUS-wm04/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/Computer-modelling-in-tomography-and-ill-posed/W9OjUS-wm04/">Computer modelling in tomography and ill-posed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov</a></span> - <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>