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3 edition of radon transform and some of its applications found in the catalog.

radon transform and some of its applications

Stanley R. Deans

# radon transform and some of its applications

## by Stanley R. Deans

Written in English

Subjects:

• Edition Notes

Classifications The Physical Object Statement Stanley R. Deans. LC Classifications QA649 .D4 1993 Pagination xi, 295 p. : Number of Pages 295 Open Library OL1700643M ISBN 10 0894647180 LC Control Number 92001004

Radon Transform Methods and Their Applications in Mapping Mantle Reﬂectivity Structure Yu Jeffrey Gu Æ Mauricio Sacchi Received: 26 October /Accepted: 1 June Springer Science+Business Media B.V. Abstract This paper reviews the fundamentals of Radon-based methods using examples from global seismic applications. Radon in water originates from the decay of Ra, which is either dissolved in water or localized in rock or soil minerals in contact with water. Most of the radon in water originates from Ra in minerals from where radon gas diffuses into pore spaces and dissolves in soil or ground water. Hence, most of radon in water is unsupported and therefore its concentration in water is often.

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 representations, X-ray technology, nuclear magnetic Brand: Birkhäuser Basel. This result, called the Fourier slice theorem, provides a method of inverting the Radon Fourier-transformed quantity d ˆ k u θ is simply the Fourier-transformed image m ˆ ˆ k x k y evaluated along radial lines in the (k x,k y) plane (Fig. ).If the Radon transform is known for all values of (u,θ), then the Fourier-transformed image is known for all (k x,k y), and since.

The Radon transform and, in particular, the corresponding inversion formula (i.e. the formula recovering from its Radon transform) is of central importance in tomography. References [a1] S.R. Deans, "The Radon transform and some of its applications", Wiley () [a2] S. Helgason, "The Radon transform", Birkhäuser (). Keywords: radon transform, tomography, medical imaging, inverse problems - Hide Description This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic.

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This book discusses the definition of the Radon transform, it's properties, it's relation to other transforms (Fourier, et al.), it's inverse, and so on. It is well documented. (It even contains a translation of Radon's original paper!) This book is the most useful source of such information I've found, so by: Browse and Read The Radon Transform And Some Of Its Applications The Radon Transform And Some Of Its Applications Find loads of the the radon transform and some of its applications book catalogues in this site as the choice of you visiting this page.

You can also join to the website book library that will show you numerous books from any Size: 3KB. Additional Physical Format: Online version: Deans, Stanley R. (Stanley Roderick), Radon transform and some of its applications. New York: Wiley, © Providing basic information about the properties of radon transform, this book contains examples and documents a wide variety of applications.

It offers guidance to literature related to transform, and is aimed at those with a basic undergraduate background in mathematics. Of value to mathematicians, physicists, engineers, and medical imaging scientists this excellent introduction to Radon transform covers both theory and applications.

It also features a rich array of examples and literature that forms a valuable reference. The author, a professor in the Department of Physics at the University of South Florida, wrote this pioneering work in declared its importance to the •eld. Radon was concerned with R2 and R3, but his work was extended to Rn and some more general spaces.

„e Radon transform for Cn is known as the Penrose transform and it is related to integral geometry (the modern approach to integral geometry was largely inspired by integral transforms, speci•cally the File Size: KB. Of value to mathematicians, physicists, and engineers, this excellent introduction to Radon transform covers both theory and applications, with a rich array of examples and literature that forms a valuable reference.

This edition is a revised and updated version by the author of his pioneering work. book The Radon transform and some of its applications Stanley R Deans Published in in New York NY) by Wiley Services. Reference details. More from. Stanley R Deans; More about. Radon transforms The Radon Transform and Some of Its Applications.

New York (N.Y.): Wiley, RIS:Cited by:   The Radon Transform and Some of Its Applications by Stanley R. Deans,available at Book Depository with free delivery worldwide/5(3).

The Radon transform is the mathematical basis of computed tomography and finds application in many other medical imaging modalities as well. In this chapter we present the fundamental mathematics of this transform and its inverse, with emphasis on the central-slice by:   Of value to mathematicians, physicists, engineers, and medical imaging scientists this excellent introduction to Radon transform covers both theory and applications.

It also features a rich array of examples and literature that forms a valuable reference. The author, a professor in the Department of Physics at the University of South Florida, wrote this pioneering work in - Buy The Radon Transform and Some of Its Applications (Dover Books on Mathematics) book online at best prices in India on Read The Radon Transform and Some of Its Applications (Dover Books on Mathematics) book reviews & author details and more at Free delivery on qualified orders/5(4).

In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line.

The transform was introduced in by Johann Radon, who also provided a formula for the inverse transform. Of value to mathematicians, physicists, engineers, and medical imaging scientists this excellent introduction to Radon transform covers both theory and applications.

It also features a rich array of examples and literature that forms a valuable reference. The author, a professor in the Pages: Deans | Mathematics - More >>; Deans S.R., The Radon Transform and Some of Its Applications, Dover Publications It contains more than worked examples and exercises with answers as well as hints to selected exercises.

pages, The Radon Transform and Some of Its Applications. Of the Radon Transform and the Parseval Relation.

Open Library is an open, editable library catalog, building towards a web page for every book ever published. The Radon Transform and Some of Its Applications by Stanley R. Deans,Wiley edition, in EnglishCited by:   The Radon Transform and Some of Its Applications The Fourier Transforms and its Applications - Duration: Stanford Inverse Radon with rotating center of cone beam.

Buy The Radon Transform and Some of Its Applications (Dover Books on Mathematics) by Deans, Stanley R (ISBN: ) from Amazon's Book /5(4). Revised and updated by the author. value to mathematicians, physicists, and engineers, this excellent introduction to Radon transform covers both theory and applications, with a rich array of examples and literature that forms a valuable reference.

Abstract. For a given function f defined in the plane, which may represent, for instance, the attenuation-coefficient function in a cross section of a sample, the fundamental question of image reconstruction calls on us to consider the value of the integral of f along a typical line $$\,\ell_{t,\,\theta }$$.For each pair of values of t and $$\,\theta$$, we will integrate f along a different by: 2.

The rst edition of this book has been out of print for some time and I have {on the Radon transform and its generalizations. (The term \Radon Transform" is adopted from John [].) a short account of some applications (Chapter I, x7), by adding a few cpro-File Size: 1MB.

Buy The Radon Transform and Some of Its Applications by Stanley R. Deans from Waterstones today! Click and Collect from your local Waterstones Pages: adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A.