Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data / V.P. Golubyatnikov.

Includes bibliographical references.

Print version record.

Chapter 1. Introduction -- 1.1. Notation and basic definitions -- 1.2. Translation equivalence of projections. Preliminary results -- Chapter 2. SO(2)-congruence of projections -- 2.1. The case of convex bodies -- 2.2. An attempt to relax the asymmetry conditions -- 2.3. The case of (n -- 2)-visible and (n -- 2)-convex bodies -- 2.4. Stability estimates for recovering the shapes of convex bodies from the shapes of their projections -- Chapter 3. Other groups of congruences of projections -- 3.1. SO(2)-similarity of projections -- 3.2. SO(3)-congruence of projections

3.3. SU(2) and U-congruence of projectionsChapter 4. Apparent contours and other tomography-type projection data -- 4.1. Reconstruction of surfaces from the shapes of their apparent contours and the stationary phase observations -- 4.2. Inversion formulae for integral geometry problems and an algorithm of computerized tomography -- 4.3. An inverse problem for the Hamilton-Jacobi equations -- 4.4. Inverse problems for one class of the tomography-type evolution equations -- Bibliography

eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - Worldwide