Mathematical Aspects of Computerized Tomography: Proceedings, Oberwolfach, February 10–16, 1980

Front Matter....Pages i-viii
Early Tomography and Related Topics....Pages 1-6
Finite Versions of the Radon-Transform Based on Finite Geometric Structures....Pages 7-12
Stability of Solutions to Linear Operator Equations of the First and Second Kinds Under Perturbation of the Operator with Rank Change....Pages 13-28
The Problem of Reconstructing Objects from Projections as an Inverse Problem in Scattering Theory of the Linear Transport Operator....Pages 29-35
On the Problem of Well-Posedness for the Radon Transform....Pages 36-44
The Identification Problem in Emission Computed Tomography....Pages 45-56
Generalized Radon Transformations....Pages 57-80
The Radon Transform in ℝ 2 . The Distributions Used as a Tool for its Inversion in Circular Decomposition and Elimination of an Additive Noise. Systematic Tables of Transforms....Pages 81-99
Stability and Consistency for the Divergent Beam X-Ray Transform....Pages 100-111
Reconstruction with Arbitrary Directions: Dimensions Two and Three....Pages 112-126
Approximation of the Radon Transform from Samples in Limited Range....Pages 127-139
Redundancy in 360° Direct Fan-Beam Reconstruction....Pages 140-151
Intervals in Linear and Nonlinear Problems of Image Reconstruction....Pages 152-159
Continuous and Semicontinuous Analogues of Iterative Methods of Cimmino and Kaczmarz with Applications to the Inverse Radon Transform....Pages 160-178
A Minimax Performance Measure for Computed Tomography....Pages 179-188
A New Approach to the Numerical Evaluation of the Inverse Radon Transform with Discrete, Noisy Data....Pages 189-203
Surfaces of Organs in Discrete Three-Dimensional Space....Pages 204-224
On Two Approaches to 3D Reconstruction in NMR Zeugmatography....Pages 225-240
Resolution Improvement to C.T.Systems Using Aperture Function Correction....Pages 241-251
Nonlinearity and Inhomogenity Effects in Computerized Tomography Due to the Exponential Attenuation of Radiation....Pages 252-269
Nonlinear Image Reconstruction from Projections of Ultrasonic Travel Times and Electric Current Densities....Pages 270-291
Sampling and Discretization Problems in X-ray-CT....Pages 292-309