Download Geometric Tomography (Encyclopedia of Mathematics and its by Richard J. Gardner PDF

By Richard J. Gardner

Geometric tomography bargains with the retrieval of knowledge a couple of geometric item from information referring to its projections (shadows) on planes or cross-sections by means of planes. it's a geometric relative of automated tomography, which reconstructs a picture from X-rays of a human sufferer. the topic overlaps with convex geometry and employs many instruments from that zone, together with a few formulation from critical geometry. It additionally has connections to discrete tomography, geometric probing in robotics and to stereology. This entire learn presents a rigorous therapy of the topic. even if basically intended for researchers and graduate scholars in geometry and tomography, short introductions, compatible for complicated undergraduates, are supplied to the elemental recommendations. greater than 70 illustrations are used to explain the textual content. The publication additionally offers sixty six unsolved difficulties. each one bankruptcy ends with large notes, old comments, and a few biographies. This variation comprises quite a few updates and enhancements, with a few three hundred new references bringing the full to over 800.

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