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The Radon Transform

✍ Scribed by Sigurdur Helgason (auth.)


Publisher
BirkhΓ€user Boston
Year
1980
Tongue
English
Leaves
203
Series
Progress in Mathematics 5
Category
Library

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✦ Table of Contents


Front Matter....Pages N2-x
The Radon Transform on ℝ n ....Pages 1-75
A Duality in Integral Geometry. Generalized Radon Transforms and Orbital Integrals....Pages 76-92
The Radon Transform on Two-Point Homogeneous Spaces....Pages 93-135
Orbital Integrals and the Wave Operator for Isotropic Lorentz Spaces....Pages 136-166
Back Matter....Pages 167-195

✦ Subjects


Integral Transforms, Operational Calculus; Signal, Image and Speech Processing; Physiological, Cellular and Medical Topics


πŸ“œ SIMILAR VOLUMES


The Radon Transform
✍ Sigurdur Helgason πŸ“‚ Library πŸ“… 1999 πŸ› BirkhΓ€user Boston 🌐 English

The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications, namely to partial differential equations, group r

The Radon Transform
✍ Sigurdur Helgason (auth.) πŸ“‚ Library πŸ“… 1999 πŸ› Springer US 🌐 English

<p>The first edition of this book has been out of print for some time and I have decided to follow the publisher's kind suggestion to prepare a new edition. Many examples with explicit inversion formulas and range theoΒ­ rems have been added, and the group-theoretic viewpoint emphasized. For example,

The Radon Transform
✍ Sigurdur Helgason (auth.) πŸ“‚ Library πŸ“… 1980 πŸ› BirkhΓ€user Boston 🌐 English

The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications, namely to partial differential equations, group repres

The Universality of the Radon Transform
✍ Leon Ehrenpreis πŸ“‚ Library πŸ“… 2003 πŸ› Oxford University Press, USA 🌐 English

Written by a leading scholar in mathematics, this monograph discusses the Radon transform, a field that has wide ranging applications to X-ray technology, partial differential equations, nuclear magnetic resonance scanning and tomography. In this book, Ehrenpreis focuses on recent research and highl

The universality of the Radon transform
✍ Leon Ehrenpreis πŸ“‚ Library πŸ“… 2003 πŸ› Clarendon Press; Oxford University Press 🌐 English

Written by a leading scholar in mathematics, this monograph discusses the Radon transform, a field that has wide ranging applications to X-ray technology, partial differential equations, nuclear magnetic resonance scanning and tomography. In this book, Ehrenpreis focuses on recent research and highl

The Radon Transform and Local Tomography
✍ Alexander G. Ramm (Author); Alex I. Katsevich (Author) πŸ“‚ Library πŸ“… 1996 πŸ› CRC Press

<p>Over the past decade, the field of image processing has made tremendous advances. One type of image processing that is currently of particular interest is "tomographic imaging," a technique for computing the density function of a body, or discontinuity surfaces of this function. Today, tomography