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 new edition includes
numerous updates and improvements, with some 300 new references
bringing the total to over 800.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Encyclopedia of Mathematics and its Applications |
Release date: |
June 2006 |
First published: |
2006 |
Authors: |
Richard J. Gardner
|
Dimensions: |
234 x 156 x 33mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
516 |
Edition: |
2nd Revised edition |
ISBN-13: |
978-0-521-86680-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
LSN: |
0-521-86680-4 |
Barcode: |
9780521866804 |
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