Mathematical Aspects of Computerized Tomography | Proceedings, Oberwolfach, February 10–16, 1980 | ISBN 9783642931574

Mathematical Aspects of Computerized Tomography

Proceedings, Oberwolfach, February 10–16, 1980

herausgegeben von G.T. Herman und F. Natterer
Mitwirkende
Herausgegeben vonG.T. Herman
Herausgegeben vonF. Natterer
Buchcover Mathematical Aspects of Computerized Tomography  | EAN 9783642931574 | ISBN 3-642-93157-X | ISBN 978-3-642-93157-4

Mathematical Aspects of Computerized Tomography

Proceedings, Oberwolfach, February 10–16, 1980

herausgegeben von G.T. Herman und F. Natterer
Mitwirkende
Herausgegeben vonG.T. Herman
Herausgegeben vonF. Natterer

Inhaltsverzeichnis

Early Tomography and Related Topics.- Mathematical Analysis.- Finite Versions of the Radon-Transform Based on Finite Geometric Structures.- Stability of Solutions to Linear Operator Equations of the First and Second Kinds Under Perturbation of the Operator with Rank Change.- The Problem of Reconstructing Objects from Projections as an Inverse Problem in Scattering Theory of the Linear Transport Operator.- On the Problem of Well-Posedness for the Radon Transform.- The Identification Problem in Emission Computed Tomography.- Generalized Radon Transformations.- The Radon Transform in ?2. The Distributions Used as a Tool for its Inversion in Circular Decomposition and Elimination of an Additive Noise. Systematic Tables of Transforms –.- Stability and Consistency for the Divergent Beam X-Ray Transform.- Reconstruction from Limited Data.- Reconstruction with Arbitrary Directions: Dimensions Two and Three.- Approximation of the Radon Transform from Samples in Limited Range.- Redundancy IN 360° Direct Fan-Beam Reconstruction.- Regularization and Optimization.- Intervals in Linear and Nonlinear Problems of Image Reconstruction.- Continuous and Semicontinuous Analogues of Iterative Methods of Cimmino and Kaczmarz with Applications to the Inverse Radon Transform.- A Minimax Performance Measure for Computed Tomography.- A New Approach to the Numerical Evaluation Of The Inverse Radon Transform with Discrete, Noisy Data.- Application Oriented Topics.- Surfaces of Organs in Discrete Three-Dimensional Space.- On Two Approaches to 3D Reconstruction in Nmr Zeugmatography.- Resolution Improvement to C. T. Systems Using Aperture Function Correction.- Nonlinearity and Inhomogenity Effects in Computerized Tomography Due to the Exponential Attenuation of Radiation.- Nonlinear ImageReconstruction from Projections of Ultrasonic Travel Times and Electric Current Densities.- Sampling and Discretization Problems In X-Ray-CT.