Geometric tomography

by Gardner, Richard J.

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Title Statements

Full title :Geometric tomography / Richard J. Gardner.

Summary

"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 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 50 extra pages of material and 300 new references, bringing the total to more than 800."--BOOK JACKET.

Edition Statements

Publication Date:2006.
Edition:2nd ed

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2006.

The Physical Object

Description:xxi, 492 pages : : illustrations ; : 25 cm.

Edition Identifiers

ISBN:0521866804, 0521684935, 9780521866804, 9780521684934
oclc:ocm63245481
LC Classification:QA639.5
Dewey Decimal:516.3/62

Subjects

Computertomografie Geometric tomography Image reconstruction -- Mathematics Integralgeometrie Konvexe Geometrie Matemática aplicada Medicina meetkunde Tomografie Tomographie (Mathématiques) Tomography -- Data processing Tomography -- Mathematics