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Uniqueness Questions in Reconstruction of Multidimensional Objects from Tomography-Type Projection Data

By V. P. Golubyatnikov

December 2000

VSP

ISBN: 90-6764-332-7

120 pages

$122.00 hardcover

The first part of this book studies uniqueness questions for recovering the shapes tof the convex and more comoplicated bodies from shapes of their projections onto planes of low dimension. Some stability estimates are given. The second part deals with inverse problems with projection data directly connected to tomography, in particular to apparent contours of smooth surfaces, which have practical interpretations such as thin cracks in continuous media which are studied in industrial defectoscopy, etc.

Mathematics; Geometry

Inverse and Ill-Posed Problems Series