ABSTRACT

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 technique for computing the density function of a body, or discontinuity surfaces of this function. Today, tomography is widely used, and has applications in such fields as medicine, engineering, physics, geophysics, and security. The Radon Transform and Local Tomography clearly explains the theoretical, computational, and practical aspects of applied tomography. It includes sufficient background information to make it essentially self-contained for most readers.

chapter Chapter 1|10 pages

Introduction

chapter Chapter 3|31 pages

Range Theorems and Reconstruction Algorithms

chapter Chapter 4|36 pages

Singularities of the Radon Transform

chapter Chapter 5|72 pages

Local Tomography

chapter Chapter 6|42 pages

Pseudolocal Tomography

chapter Chapter 7|11 pages

Geometrical Tomography

chapter Chapter 8|17 pages

Inversion of Incomplete Tomographic Data

chapter Chapter 9|27 pages

Inversion of Cone-Beam Data

chapter Chapter 10|22 pages

Radon Transform of Distributions

chapter Chapter 11|10 pages

Abel-Type Integral Equation

chapter Chapter 13|29 pages

Test of Randomness and its Applications

chapter Chapter 14|66 pages

Auxiliary Results