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Titlebook: Mathematical Aspects of Computerized Tomography; Proceedings, Oberwol G. T. Herman,Frank Natterer Conference proceedings 1981 Springer-Verl

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On Two Approaches to 3D Reconstruction in NMR Zeugmatographyn transform (the .-. approach). These two approaches are discussed and compared, both from a theoretical standpoint and through computer results obtained with real NMR data. For the cases studied to date the two methods appear to produce qualitatively similar results.
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Resolution Improvement to C.T.Systems Using Aperture Function Correctione to formulate filtering techniques which attempt to restore the image to its desired form. We derive a frequency domain Wiener filter, which when applied to our C.T. data attempts to restore those frequency components attenuated in the scanning process.
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Stability of Solutions to Linear Operator Equations of the First and Second Kinds Under Perturbatione give sufficient conditions on the perturbations in the operator and the right-hand side that guarantee stability of solutions. With different techniques we treat the cases that the linear operator is a Fredholm operator with index zero and that the linear operator is compact.
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978-3-540-10277-9Springer-Verlag Berlin Heidelberg 1981
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