Mathematics of Computerized Tomography

Name: Mathematics of Computerized Tomography
Availability: OutOfStock
ISBN: 9780471909590

ISBN-10: 0471909599

ISBN-13: 9780471909590

Edition: 1986

Authors: F. Natterer

List price: $298.00

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Book details

List price: $298.00
Copyright year: 1986
Publisher: John Wiley & Sons, Incorporated
Publication date: 10/3/1986
Binding: Hardcover
Pages: 232
Size: 6.22" wide x 9.25" long x 0.72" tall
Weight: 1.034
Language: English



Preface to the Classics Edition


Preface


Glossary of Symbols


Errata



Computerized Tomography



The basic example: transmission computerized tomography



Other applications



Bibliographical notes



The Radon Transform and Related Transforms



Definition and elementary properties of some integral operators



Inversion formulas



Uniqueness



The ranges



Sobolev space estimates



The attenuated Radon transform



Bibliographical notes



Sampling and Resolution



The sampling theorem



Resolution



Some two-dimensional sampling schemes



Bibliographical notes



Ill-posedness and Accuracy



Ill-posed problems



Error estimates



The singular value decomposition of the Radon transform



Bibliographical notes



Reconstruction Algorithms



Filtered backprojection



Fourier reconstruction



Kaczmarz's method



Algebraic reconstruction technique (ART)



Direct algebraic methods



Other reconstruction methods



Bibliographical notes



Incomplete Data



General remarks



The limited angle problem



The exterior problem



The interior problem



The restricted source problem



Reconstruction of homogeneous objects



Bibliographical notes



Mathematical Tools



Fourier analysis



Integration over spheres



Special functions



Sobolev spaces



The discrete Fourier transform


References


Index