Geometric Tomography

Released on by Richard J. Gardner
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  • Geometric Tomography Book Detail

  • Author : Richard J. Gardner
  • Release Date : 2006-06-19
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 7
  • ISBN 13 : 0521866804
  • File Size : 44,44 MB
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Geometric Tomography by Richard J. Gardner PDF Summary

Book Description: Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. It overlaps with convex geometry, and employs many tools from that area including integral geometry. It also has connections to geometric probing in robotics and to stereology. The main text contains a rigorous treatment of the subject starting from basic concepts and moving up to the research frontier: seventy-two unsolved problems are stated. Each chapter ends with extensive notes, historical remarks, and some biographies. This comprehensive work will be invaluable to specialists in geometry and tomography; the opening chapters can also be read by advanced undergraduate students.

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Geometric Tomography

Geometric Tomography

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Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections