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Advances in Computer Vision and Pattern Recognition

Fundamentals of Computerized Tomography

Image Reconstruction from Projections

Authors: Herman, Gabor T.

  • Describes how projection data are obtained and used in science and medicine, focusing on x-ray data but also covering other fields such as electron microscopy, nuclear medicine, ultrasound, materials science and nondestructive testing
  • Presents a comparative evaluation of reconstruction methods, their accuracy under ideal and realistic circumstances, computational costs, task-oriented performance, and applicability
  • Provides a useful general syllabus for introductory courses
  • Investigates reconstruction algorithms, including filtered backprojection, Fourier and linogram reconstruction methods, algebraic reconstruction techniques, and quadratic optimization
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eBook $109.00
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  • ISBN 978-1-84628-723-7
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $149.00
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  • ISBN 978-1-85233-617-2
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  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
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  • ISBN 978-1-4471-2521-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Computerized tomography, the process of obtaining the density distribution within a human body from multiple x-ray projections, has revolutionized diagnostic radiology over the past three decades. Fundamentally the same computational process has been used for reconstruction from projections in many other fields of science, engineering and medicine; for example, for the reconstruction of biological macromolecules from electron micrographs.

This thoroughly revised and fully updated text/reference presents the computational and mathematical procedures underlying data collection, image reconstruction, and image display in computerized tomography. Focused on the needs of the practitioner, with emphasis on reconstruction methods, the book carefully discusses points of implementation and application.

Following the successful formula of the widely cited first edition, the book investigates the field of computerized tomography in detail, summarizing the diverse applications of the technique. Further chapters concentrate on reconstruction algorithms, followed by a treatment of the 3D display of the results and a final chapter with proofs of the fundamental mathematical theorems.

Some entirely new topics are introduced; these include 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.

Topics and features:

*Describes how projection data are obtained and the resulting reconstructions are used in science and medicine, focusing on x-ray data but also covering other fields such as electron microscopy, nuclear medicine, ultrasound, materials science and nondestructive testing

*Presents a comparative evaluation of reconstruction methods, their accuracy under ideal and realistic circumstances, computational costs, task-oriented performance, and general applicability

*Provides a useful general syllabus for introductory courses

*Investigates reconstruction algorithms, including filtered backprojection, Fourier and linogram reconstruction methods, algebraic reconstruction techniques, and quadratic optimization

*Explores basis functions, functions to be optimized, norms, generalized inverses, least squares solutions, and maximum entropy solutions, as well as most likely estimates

*Discusses the design and application of a large programming system (SNARK09) for image reconstruction, as well as computerized methods for 3D surface detection and display

*Concludes each chapter with helpful Notes and References sections

This easy-to-read text/reference is an excellent guide for practitioners from a range of disciplines across science, engineering, and medicine. Based on three decades of the author’s teaching, it can also serve as a textbook for an introductory graduate course on image reconstruction.

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.


Table of contents (15 chapters)

  • Introduction

    Herman, Gabor T.

    Pages 1-26

  • An Overview of the Process of CT

    Herman, Gabor T.

    Pages 27-36

  • Physical Problems Associated with Data Collection in CT

    Herman, Gabor T.

    Pages 37-52

  • Computer Simulation of Data Collection in CT

    Herman, Gabor T.

    Pages 53-66

  • Data Collection and Reconstruction of the Head Phantom

    Herman, Gabor T.

    Pages 67-100

Buy this book

eBook $109.00
price for USA
  • ISBN 978-1-84628-723-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-85233-617-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4471-2521-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fundamentals of Computerized Tomography
Book Subtitle
Image Reconstruction from Projections
Authors
Series Title
Advances in Computer Vision and Pattern Recognition
Copyright
2009
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84628-723-7
DOI
10.1007/978-1-84628-723-7
Hardcover ISBN
978-1-85233-617-2
Softcover ISBN
978-1-4471-2521-1
Series ISSN
2191-6586
Edition Number
2
Number of Pages
XII, 300
Number of Illustrations and Tables
98 b/w illustrations
Additional Information
Originally published by Academic Press, 1980
Topics