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Mathematical Aspects of Computerized Tomography

Proceedings, Oberwolfach, February 10–16, 1980

  • Conference proceedings
  • © 1981

Overview

Editors:
  1. G. T. Herman

    1. Medical Image Processing Groups, Department of Computer Science, State University of New York at Buffalo, Amherst, USA

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  2. Frank Natterer

    1. Fachbereich 10, Angewandte Mathematik und Informatik, Universität des Saarlandes, Saarbrücken, Deutschland

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Part of the book series: Lecture Notes in Medical Informatics (LNMED, volume 8)

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Table of contents (22 papers)

  1. Front Matter

    Pages i-viii
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  2. Early Tomography and Related Topics

    1. Early Tomography and Related Topics

      • A. M. Cormack
      Pages 1-6

  3. Mathematical Analysis

    1. Finite Versions of the Radon-Transform Based on Finite Geometric Structures

      • Thomas Beth
      Pages 7-12

    2. Stability of Solutions to Linear Operator Equations of the First and Second Kinds Under Perturbation of the Operator with Rank Change

      • Heinz W. Engl
      Pages 13-28

    3. The Problem of Reconstructing Objects from Projections as an Inverse Problem in Scattering Theory of the Linear Transport Operator

      • J. Hejtmanek
      Pages 29-35

    4. On the Problem of Well-Posedness for the Radon Transform

      • Alexander Hertle
      Pages 36-44

    5. The Identification Problem in Emission Computed Tomography

      • F. Natterer
      Pages 45-56

    6. Generalized Radon Transformations

      • Günter Fritz, Ulrich G. Oppel
      Pages 57-80

    7. The Radon Transform in ℝ2. The Distributions Used as a Tool for its Inversion in Circular Decomposition and Elimination of an Additive Noise. Systematic Tables of Transforms

      • L. R. Oudin
      Pages 81-99

    8. Stability and Consistency for the Divergent Beam X-Ray Transform

      • David Finch, Donald Solmon
      Pages 100-111

  4. Reconstruction from Limited Data

    1. Reconstruction with Arbitrary Directions: Dimensions Two and Three

      • F. Alberto Grünbaum
      Pages 112-126

    2. Approximation of the Radon Transform from Samples in Limited Range

      • Alfred K. Louis
      Pages 127-139

    3. Redundancy in 360° Direct Fan-Beam Reconstruction

      • P. Lux
      Pages 140-151

  6. Application Oriented Topics

    1. Surfaces of Organs in Discrete Three-Dimensional Space

      • Gabor T. Herman, Dallas Webster
      Pages 204-224

    2. On Two Approaches to 3D Reconstruction in NMR Zeugmatography

      • Robert B. Marr, Ching-Nien Chen, Paul C. Lauterbur
      Pages 225-240

    3. Resolution Improvement to C.T.Systems Using Aperture Function Correction

      • T M Peters
      Pages 241-251
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Keywords

Editors and Affiliations

  • Medical Image Processing Groups, Department of Computer Science, State University of New York at Buffalo, Amherst, USA

    G. T. Herman

  • Fachbereich 10, Angewandte Mathematik und Informatik, Universität des Saarlandes, Saarbrücken, Deutschland

    Frank Natterer

Bibliographic Information

  • Book Title: Mathematical Aspects of Computerized Tomography

  • Book Subtitle: Proceedings, Oberwolfach, February 10–16, 1980

  • Editors: G. T. Herman, Frank Natterer

  • Series Title: Lecture Notes in Medical Informatics

  • DOI: https://doi.org/10.1007/978-3-642-93157-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1981

  • Softcover ISBN: 978-3-540-10277-9Published: 01 January 1981

  • eBook ISBN: 978-3-642-93157-4Published: 12 March 2013

  • Series ISSN: 0172-7788

  • Edition Number: 1

  • Number of Pages: VIII, 310

  • Topics: Mathematical and Computational Biology, Imaging / Radiology

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