Geometric tomography

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. In part, it is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. Geometric tomography overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to geometric probing in robotics and to stereology. The main text of this book contains a rigorous treatment of the subject and supplies…