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Uniqueness Questions in Reconstruction of Multidimensional Objects from Tomography-Type Projection Data
By V. P. Golubyatnikov
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.
Inverse and Ill-Posed Problems Series