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Mathematical Aspects of Computerized Tomography: Proceedings, Oberwolfach, February 10–16, 1980 de G. T. Herman

Mathematical Aspects of Computerized Tomography: Proceedings, Oberwolfach, February 10–16, 1980: Lecture Notes in Medical Informatics, cartea 8

Editat de G. T. Herman, F. Natterer
en Limba Engleză Paperback – 1981

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Specificații

ISBN-13: 9783540102779
ISBN-10: 3540102779
Pagini: 320
Ilustrații: VIII, 310 p.
Dimensiuni: 170 x 244 x 17 mm
Greutate: 0.51 kg
Ediția:Softcover reprint of the original 1st ed. 1981
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Medical Informatics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.