Pub. Date:
Springer Berlin Heidelberg
Mathematical Aspects of Computerized Tomography: Proceedings, Oberwolfach, February 10-16, 1980 / Edition 1

Mathematical Aspects of Computerized Tomography: Proceedings, Oberwolfach, February 10-16, 1980 / Edition 1

by G.T. Herman, F. NattererG.T. Herman


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Product Details

ISBN-13: 9783540102779
Publisher: Springer Berlin Heidelberg
Publication date: 03/06/1981
Series: Lecture Notes in Medical Informatics , #8
Edition description: Softcover reprint of the original 1st ed. 1981
Pages: 310
Product dimensions: 6.69(w) x 9.61(h) x 0.03(d)

Table of Contents

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 Image Reconstruction from Projections of Ultrasonic Travel Times and Electric Current Densities.- Sampling and Discretization Problems In X-Ray-CT.

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