The Resource Computer modelling in tomography and illposed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
Computer modelling in tomography and illposed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
Resource Information
The item Computer modelling in tomography and illposed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Computer modelling in tomography and illposed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 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 illposed problems11
 1.2. Problem of integral geometry16
 1.3. The Radon transform18
 1.4. Radon problem as an example of an illposed problem20
 1.5. The algorithm of inversion of the twodimensional Radon
 transform based on the convolution with the generalized
 function l/z225
 Chapter 2. Conebeam tomography reconstruction 33
 2.1. Reducing the inversion formulas of conebeam 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 threedimensional 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
 threedimensional 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 illposed problems
 Title
 Computer modelling in tomography and illposed problems
 Statement of responsibility
 M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
 Language
 eng
 Cataloging source
 CaPaEBR
 http://library.link/vocab/creatorName
 Lavrentʹev, M. M.
 Illustrations
 illustrations
 Index
 no index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName

 Zerkal, S. M.
 Trofimov, O. E.
 Series statement
 Inverse and illposed problems series
 http://library.link/vocab/subjectName

 Geometric tomography
 Inverse problems (Differential equations)
 Label
 Computer modelling in tomography and illposed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
 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 illposed problems11  1.2. Problem of integral geometry16  1.3. The Radon transform18  1.4. Radon problem as an example of an illposed problem20  1.5. The algorithm of inversion of the twodimensional Radon  transform based on the convolution with the generalized  function l/z225  Chapter 2. Conebeam tomography reconstruction 33  2.1. Reducing the inversion formulas of conebeam 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 threedimensional 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  threedimensional 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
 Control code
 ebr11008785
 Dimensions
 unknown
 Extent
 1 online resource (136 pages)
 Form of item
 online
 Isbn
 9783110940930
 Isbn Type
 (ebook)
 Media category
 computer
 Media MARC source
 rdamedia
 Note
 Electronic reproduction. Palo Alto, Calif. : ebrary, 2015. Available via World Wide Web. Access may be limited to ebrary affiliated libraries
 Other physical details
 illustrations
 Specific material designation
 remote
 System control number
 (OCoLC)903969817
 Label
 Computer modelling in tomography and illposed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
 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 illposed problems11  1.2. Problem of integral geometry16  1.3. The Radon transform18  1.4. Radon problem as an example of an illposed problem20  1.5. The algorithm of inversion of the twodimensional Radon  transform based on the convolution with the generalized  function l/z225  Chapter 2. Conebeam tomography reconstruction 33  2.1. Reducing the inversion formulas of conebeam 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 threedimensional 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  threedimensional 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
 Control code
 ebr11008785
 Dimensions
 unknown
 Extent
 1 online resource (136 pages)
 Form of item
 online
 Isbn
 9783110940930
 Isbn Type
 (ebook)
 Media category
 computer
 Media MARC source
 rdamedia
 Note
 Electronic reproduction. Palo Alto, Calif. : ebrary, 2015. Available via World Wide Web. Access may be limited to ebrary affiliated libraries
 Other physical details
 illustrations
 Specific material designation
 remote
 System control number
 (OCoLC)903969817
Library Links
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/Computermodellingintomographyandillposed/W9OjUSwm04/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Computermodellingintomographyandillposed/W9OjUSwm04/">Computer modelling in tomography and illposed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Computer modelling in tomography and illposed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/Computermodellingintomographyandillposed/W9OjUSwm04/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Computermodellingintomographyandillposed/W9OjUSwm04/">Computer modelling in tomography and illposed problems, M.M. Lavrentèv, S.M. Zerkal and O.E. Trofimov</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>