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Thursday, April 30, 2020 | History

8 edition of The Radon Transform and Some of Its Applications found in the catalog.

# The Radon Transform and Some of Its Applications

Written in English

Subjects:
• Applied,
• Calculus,
• Geometry - Differential,
• Mathematics / Applied,
• Mathematics,
• Science/Mathematics

• The Physical Object
FormatPaperback
Number of Pages304
ID Numbers
Open LibraryOL9761299M
ISBN 100486462412
ISBN 109780486462417

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### The Radon Transform and Some of Its Applications by Stanley R. Deans Download PDF EPUB FB2

This is a classic on Radon Transforms. For those not knowledgeable in the transform, it is the integral of some function across a slice of some geometric surface. Using appropriate coordinates one can relate it to classic Fourier Transforms.

The author presents many by: This is a classic on Radon Transforms. For those not knowledgeable in the transform, it is the integral of some function across a slice of some geometric surface. Using appropriate coordinates one can relate it to classic Fourier Transforms. The author presents many applications/5.

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.

Now, we come to offer you the right catalogues of book to open. the radon transform and some of its applications is one of the literary work in this world in suitable to be reading material.

That's not only this book gives reference,File Size: 3KB. Radon transform and some of its applications. New York: Wiley, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Stanley R Deans.

The Radon transform and some of its applications The Radon transform and some of its applications by Stanley R. Deans Published by Wiley in New by: ISBN: OCLC Number: Notes: "This Dover edition, first published inis an unabridged republication of the edition, published by Krieger Publishing Company, Malabar, Florida, containing corrections and updated references, of the work originally published by John Wiley and Sons, Inc.

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. Introduction to Radon Transforms The Radon transform represents a function on a manifold by its integrals over certain submanifolds.

Integral transformations of this kind have a wide range of applications in modern analysis, integral and convex geometry, medical imaging, and File Size: KB. wavelet transform, ridgelet and curvelet transforms, sine and cosine transforms, Radon transform, etc.

are examples of such image transforms. Some interesting applications of invertible image transforms in pattern recognition are presented in [5, 10, 20, 22, 23]. In [20], discrete Fourier transform (DFT) was used for palm print Size: 5MB.

This is a classic on Radon Transforms. For those not knowledgeable in the transform, it is the integral of some function across a slice of some geometric surface. Using appropriate coordinates one can relate it to classic Fourier Transforms.

The author presents many applications/5(4). 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 Cited by: 2.

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.

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. Read more Read less click to open popover/5(4). 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 far/5(4).

The Radon Transform and Some of Its Applications. Reg. 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 Radon Transform and Some of Its Applications - Stanley R. Deans - Google Books Of value to mathematicians, physicists, engineers, and medical imaging scientists this excellent introduction to.

The exponential Radon transform is represented in terms of Fourier transforms of its domain and range, and this leads to a characterization of the range of the transform.

The exponential Radon transform is a model for some reconstruction problems in radionuclide emission computer by: Thus the measure- THE RADON TRANSFORM AND ITS APPLICATIONS [III, § 5 ment involves a volume integral of some quantity over the volume of the specimen.

More recently, great progress has been made in extracting information about the spatial distribution of spin density and relaxation by: 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: adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A.

Part of the NATO ASI Series book series (volume 39) 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: Chapter 2 ⁄e Radon Transform.

„e Radon Transfrom was originally used for determining a symmetric function on S2. from its great circle integrals and a function of the plane R2 from its line integrals.

„is was also extended by Radon to three Size: KB. Radon, On the determination of functions from their integrals along certain manifolds, in: The Radon Transform and Some of its Applications, Annexe A, Wiley, New York, (translation of Radon's paper by R.

Lohner).Cited 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. For example, parabolic and hyperbolic transforms are the preferred Radon methods if the data after move-out correction are best characterized by a superposition of parabolas and hyperbolas, respectively.

Inverse formulations have also been developed to enhance the ﬂexibility and resolution of Radon solutions. This edition is his revised and updated version.

In addition to presenting background on the properties of the Radon transform itself—complete with examples that demonstrate the more subtle points—this book illustrates numerous applications and offers extensive guidance to related :   To avoid this, we replace by a band-limited function that vanishes for greater than some cut-off value.

Numerous refinements of the techniques for generating CT scans are described in the book of Feeman [Feeman, ]. Further Information. Dean, S. R., The Radon Transform and some of its Applications. Dover, pp. ISBN:   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 and Some of Its Applications Reconstruction from parallel projections and the Radon transform - Duration: The Fourier Transforms and its Applications - Duration. 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. 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.

Further reading. Lokenath Debnath; Dambaru Bhatta (19 April ). Integral Transforms and Their Press. ISBN ; Deans, Stanley R.

(), The Radon Transform and Some of Its Applications, New York: John Wiley & Sons Helgason, Sigurdur (), Geometric analysis on symmetric spaces, Mathematical Surveys and Monographs, 39. The Radon Transform and Some of Its Applications Of value to mathematicians, physicists, and engineers, this excellent introduction covers both theory and Applications, including a rich array of examples and literature.

Revised and updated by the author. edition. Book Description. 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.

Review of Some Applications of the Radon. Buy The Radon Transform and Some of Its Applications by Stanley R. Deans from Waterstones today. Click and Collect from your local Waterstones or get FREE UK delivery on orders over £Pages:   adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86ACited by: Radon Transform and Some of Its Applications close.

Previous. Next. zoom out zoom in. This preview is indicative only. The content shown may differ from the edition of this book sold on Mighty Ape. Toggle navigation Join Now Log In.

Mighty Ape. The Mathematics of Computerized Tomography covers the relevant mathematical theory of the Radon transform and related transforms and also studies more practical questions such as stability, sampling, resolution, and accuracy. Quite a bit of attention is given to the derivation, analysis, and practical examination of reconstruction algorithms.

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 (). What is Radon Transform? It computes the projection of an image matrix along a specific axes.

The image in two-dimension f(x,y) is projected into new axes which can be represent by and θ, where θ measures the counter-clockwise angle of the line from the horizontal axes, and measures the distance of the line from the origin of the (x,y) plane.A projection over.

Succeeding chapters explore the Funk transform. The hemispherical transform, and applications of the Radon transform to hyperbolic and convex geometries. This approach assumes a facility with integration theory from advanced real analysis and often uses some detailed “machinery”.

It also constitutes a fairly encyclopedic rendering of the field.,based mosty on my papers during {on the Radon transform and its generalizations. (The term \Radon Transform" is adopted from John [].) The viewpoint for these generalizations is as follows. The set of points on S2 and the set of great circles on S2 are both ho-mogeneous spaces of the orthoginal group O(3).

Similarly, the set of File Size: 1MB.