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Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on 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 will be invaluable to specialists in geometry and tomography; opening chapters can also be read by advanced undergraduate students.…mehr

Produktbeschreibung
Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on 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 will be invaluable to specialists in geometry and tomography; opening chapters can also be read by advanced undergraduate students.
Autorenporträt
Richard Gardner has been Professor of Mathematics at Western Washington University since 1991. He is the author of 70 papers and founded geometric tomography as a subject in its own right with the publication of the first edition of this book in 1995.
Rezensionen
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