Page 1 DE GRUYTER VA Sharafutdinov INTEGRAL GEOMETRY OF TENSOR FIELDS
INVERSE AND ILL-POSED PROBLEMS SERIES DE G Page 2 Integral Geometry of Tensor …

Over the past decade, the field of image processing has made tremendous advances. One
type of image processing that is currently of particular interest is" tomographic imaging," a …

Abstract Contents Introduction § 1. The concept of hyperidentity. Hyperidentities of binary
representations 1.1. The concept of hyperidentity: examples 1.2. Binary Cayley theorems for …

One hundred years ago (1904) Hermann Minkowski [58] posed a problem: to re 2 construct
an even function I on the sphere 8 from knowledge of the integrals MI (C)= fc Ids over big …

Let f be a function in a Euclidean plane with compact support in a half disc H. The problem of
reconstruction of the function from the data of its integrals over half circles A⊂ H with centers …

We study the relation between the singularities of a function f and its Radon transform R (f).
We prove that their singular loci are related via Legendre transform. Geometric properties of …

Abstract Contents § 1. Introduction. The mathematical model of a tomograph § 2. Statement
of results § 3. Reconstruction errors and series of oscillatory integrals § 4. Analysis of critical …

Proposed is a pseudolocal tomography concept. A function f_d is defined which, on one
hand, has locality properties and, on the other hand, preserves locations and sizes of …

In this paper we study reconstruction of a function f from its discrete Radon transform data in
R^3 when f has jump discontinuities. Consider a conventional parametrization of the Radon …

The book describes a useful tool for solving linear inverse problems subject to convex
constraints. The method of maximum entropy in the mean automatically takes care of the …