Fundamentals of Computerized Tomography

Image Reconstruction from Projections

2nd Edition

By Gabor T. Herman

Fundamentals of Computerized Tomography Cover Image

This revised and updated edition presents the computational and mathematical procedures underlying data collection, image reconstruction, and image display in computerized tomography. New topics include fast calculation of a ray sum in a digitized image and the task-oriented comparison of reconstruction algorithm performance.

Full Description

  • ISBN13: 978-1-8523-3617-2
  • 312 Pages
  • User Level: Professionals
  • Publication Date: July 14, 2009
  • Available eBook Formats: PDF
  • eBook Price: $109.00
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Full Description
This revised and updated text presents the computational and mathematical procedures underlying data collection, image reconstruction, and image display in computerized tomography. New topics: the fast calculation of a ray sum for a digitized picture, the task-oriented comparison of reconstruction algorithm performance, blob basis functions and the linogram method for image reconstruction. Features: Describes how projection data are obtained and the resulting reconstructions are used; Presents a comparative evaluation of reconstruction methods; Investigates reconstruction algorithms; Explores basis functions, functions to be optimized, norms, generalized inverses, least squares solutions, maximum entropy solutions, and most likely estimates; Discusses SNARK09, a large programming system for image reconstruction; Concludes each chapter with helpful Notes and References sections. An excellent guide for practitioners, it can also serve as a textbook for an introductory graduate course.
Table of Contents

Table of Contents

  1. Introduction.
  2. An Overview of the Process of CT.
  3. Physical Problems Associated with Data Collection in CT.
  4. Computer Simulation of Data Collection in CT.
  5. Data Collection and Reconstruction of the Head Phantom.
  6. Basic Concepts of Reconstruction Algorithms.
  7. Backprojection.
  8. Filtered Backprojection for Parallel Beams.
  9. Other Transform Methods for Parallel Beams.
  10. Filtered Backprojection for Divergent Beams.
  11. Algebraic Reconstruction Techniques.
  12. Quadratic Optimization Methods.
  13. Truly Three
  14. Dimensional Reconstruction.
  15. Three
  16. Dimensional Display of Organs.
  17. Mathematical Background.
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