Encyclopedia of Mathematics and its Applications: Geometric Tomography Series Number 58 (Hardback)
  • Encyclopedia of Mathematics and its Applications: Geometric Tomography Series Number 58 (Hardback)
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Encyclopedia of Mathematics and its Applications: Geometric Tomography Series Number 58 (Hardback)

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£134.00
Hardback 516 Pages / Published: 19/06/2006
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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 by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. The subject overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to discrete tomography, geometric probing in robotics and to stereology. This comprehensive study provides a rigorous treatment of the subject. Although primarily meant for researchers and graduate students in geometry and tomography, brief introductions, suitable for advanced undergraduates, are provided to the basic concepts. More than 70 illustrations are used to clarify the text. The book also presents 66 unsolved problems. Each chapter ends with extensive notes, historical remarks, and some biographies. This edition includes numerous updates and improvements, with some 300 new references bringing the total to over 800.

Publisher: Cambridge University Press
ISBN: 9780521866804
Number of pages: 516
Weight: 970 g
Dimensions: 234 x 156 x 33 mm
Edition: 2nd Revised edition


MEDIA REVIEWS
praise for the first edition ... 'The work is written in a very clear style, is well organized, and is amply provided with helpful illustrations and diagrams.' Wm. J. Firey, SIAM Review
'This is an extremely useful monograph, collecting together all the currently available material on geometric tomography ... The book is well organized and easy to read, with many illustrations, and copious notes to each chapter ... I recommend the book highly as a valuable introduction and continuing reference.' Peter McMullen, Bulletin of the London Mathematical Society
'... A valuable reference source. Libraries should have this book.' A. G. Ramm, Inverse Problems Newsletter
'This well-written book describes the recent theory ... it includes copious notes and a comprehensive bibliography.' Mathematika
'The book is self contained, readable and can be warmly recommended not only for specialists.' European Mathematical Society Newsletter
'... this book is a must for all those who are or plan to work on geometric tomography ...' Acta Scientiarum Mathematicarum
"A comprehensive study... For people in computer vision who are interested in geometric tomography and like such a mathematical approach, this book fulfills all their needs... Also serves as a useful reference for scientists and engineers who need to understand concepts of geometric tomography applied to various fields." Arjan Kujiper for IAPR Newsletter

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