UID:
almatuudk_BV043942091
Format:
1 online resource (xxi, 492 pages).
Edition:
Second edition
ISBN:
978-1-107-34102-9
Series Statement:
Encyclopedia of mathematics and its applications volume 58
Content:
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
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
Erscheint auch als Druckausgabe ISBN 978-0-521-68493-4
Additional Edition:
Erscheint auch als Druckausgabe ISBN 978-0-521-86680-4
Language:
English
Subjects:
Mathematics
Keywords:
Geometrie
;
Tomografie
;
Mathematisches Modell
;
Integralgeometrie
;
Computertomografie
;
Tomografie
;
Konvexe Geometrie
;
Computertomografie
;
Konvexe Geometrie
;
Statistik
DOI:
10.1017/CBO9781107341029
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
https://doi.org/10.1017/CBO9781107341029
