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  • © 2009

Fundamentals of Computerized Tomography

Image Reconstruction from Projections

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Part of the book series: Advances in Computer Vision and Pattern Recognition (ACVPR)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XI
  2. Introduction

    • Gabor T. Herman
    Pages 1-26
  3. An Overview of the Process of CT

    • Gabor T. Herman
    Pages 27-36
  4. Computer Simulation of Data Collection in CT

    • Gabor T. Herman
    Pages 53-66
  5. Basic Concepts of Reconstruction Algorithms

    • Gabor T. Herman
    Pages 101-124
  6. Backprojection

    • Gabor T. Herman
    Pages 125-133
  7. Filtered Backprojection for Parallel Beams

    • Gabor T. Herman
    Pages 135-158
  8. Other Transform Methods for Parallel Beams

    • Gabor T. Herman
    Pages 159-176
  9. Filtered Backprojection for Divergent Beams

    • Gabor T. Herman
    Pages 177-192
  10. Algebraic Reconstruction Techniques

    • Gabor T. Herman
    Pages 193-216
  11. Quadratic Optimization Methods

    • Gabor T. Herman
    Pages 217-233
  12. Truly Three-Dimensional Reconstruction

    • Gabor T. Herman
    Pages 235-242
  13. Three-Dimesional Display of Organs

    • Gabor T. Herman
    Pages 243-257
  14. Mathematical Background

    • Gabor T. Herman
    Pages 259-276
  15. Back Matter

    Pages 277-297

About this book

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.

Reviews

From the reviews of the first edition.

"... the author is a giant in the field. One expects an exciting book and one is not disappointed."
S. Webb, Physics in Medicine and Biology, v. 26. p. 721, 1981.

"... the book is an excellent introduction to the subject and is well written, thoughtfully organized, and a pleasure to read."
M.W. Vannier, The Journal of Nuclear Medicine, v. 23, p. 369, 1982.

"On the one hand the book is well suited for a course on computerized tomography at the graduate level, on the other hand I found it a well balanced review on the subject for somebody outside the field."
W.N Brouw, Space Science Reviews, v.32. p. 467, 1982.

"This book will be valuable to the engineer, the physicist, the mathematician, and the physician (with a sufficient mathematical background) interested in the field of CT."
M.M. Ter-Pogossian, Medical Physics, v. 11, p. 90, 1984.

Authors and Affiliations

  • Dept. Computer Science, City University of New York Graduate Center, New York, USA

    Gabor T. Herman

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access