The Radon Transform And Some Of Its Applications
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The Radon Transform And Some Of Its Applications
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Author : Stanley R. Deans
language : en
Publisher: Courier Corporation
Release Date : 2007-10-01
The Radon Transform And Some Of Its Applications written by Stanley R. Deans and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-01 with Mathematics categories.
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 1993 edition is a revised and updated version by the author of his pioneering work.
The Radon Transform And Some Of Its Applications
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Author : Stanley Roderick Deans
language : en
Publisher:
Release Date : 1993
The Radon Transform And Some Of Its Applications written by Stanley Roderick Deans and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
The Radon Transform
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Author : Sigurdur Helgason
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
The Radon Transform written by Sigurdur Helgason and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
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 theo rems have been added, and the group-theoretic viewpoint emphasized. For example, the integral geometric viewpoint of the Poisson integral for the disk leads to interesting analogies with the X-ray transform in Euclidean 3-space. To preserve the introductory flavor of the book the short and self-contained Chapter Von Schwartz' distributions has been added. Here §5 provides proofs of the needed results about the Riesz potentials while §§3-4 develop the tools from Fourier analysis following closely the account in Hormander's books (1963] and [1983]. There is some overlap with my books (1984] and [1994b] which however rely heavily on Lie group theory. The present book is much more elementary. I am indebted to Sine Jensen for a critical reading of parts of the manuscript and to Hilgert and Schlichtkrull for concrete contributions men tioned at specific places in the text. Finally I thank Jan Wetzel and Bonnie Friedman for their patient and skillful preparation of the manuscript.
The Radon Transform And Local Tomography
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Author : Alexander G. Ramm
language : en
Publisher: CRC Press
Release Date : 2020-07-16
The Radon Transform And Local Tomography written by Alexander G. Ramm and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-16 with Mathematics categories.
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 is widely used, and has applications in such fields as medicine, engineering, physics, geophysics, and security. The Radon Transform and Local Tomography clearly explains the theoretical, computational, and practical aspects of applied tomography. It includes sufficient background information to make it essentially self-contained for most readers.
Inside Out
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Author : Gunther Uhlmann
language : en
Publisher: Cambridge University Press
Release Date : 2003-11-10
Inside Out written by Gunther Uhlmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-10 with Mathematics categories.
In this book, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics.
The Radon Transform
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Author : Ronny Ramlau
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-06-17
The Radon Transform written by Ronny Ramlau and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-17 with Mathematics categories.
The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board. Managing EditorUlrich Langer, Johannes Kepler University Linz, Austria Editorial BoardHansj rg Albrecher, University of Lausanne, SwitzerlandRonald H. W. Hoppe, University of Houston, USAKarl Kunisch, RICAM, Linz, Austria; University of Graz, AustriaHarald Niederreiter, RICAM, Linz, AustriaChristian Schmeiser, University of Vienna, Austria
Introduction To Radon Transforms
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Author : Boris Rubin
language : en
Publisher: Cambridge University Press
Release Date : 2015-11-12
Introduction To Radon Transforms written by Boris Rubin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-12 with Mathematics categories.
A comprehensive introduction to basic operators of integral geometry and the relevant harmonic analysis for students and researchers.
Integral Geometry And Radon Transforms
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Author : Sigurdur Helgason
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-27
Integral Geometry And Radon Transforms written by Sigurdur Helgason and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-27 with Mathematics categories.
In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds—hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial di erential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation. From the reviews: “Integral Geometry is a fascinating area, where numerous branches of mathematics meet together. the contents of the book is concentrated around the duality and double vibration, which is realized through the masterful treatment of a variety of examples. the book is written by an expert, who has made fundamental contributions to the area.” —Boris Rubin, Louisiana State University
Applied Problems Of Radon Transform
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Author : Semen Grigorʹevich Gindikin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Applied Problems Of Radon Transform written by Semen Grigorʹevich Gindikin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This collection is designed to acquaint readers with advances in Radon transforms carried out in the former Soviet Union. The papers focus on mathematical problems related to applications of Radon transforms. Some of the problems arose from practical tomography, while others are theoretical problems originating in tomography. The book should be of use to mathematicians working in integral geometry and mathematical problems of tomography, as well as scientists who work on inverse problems and their computer realization.
Epr Imaging And In Vivo Epr
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Author : Gareth R. Eaton
language : en
Publisher: CRC Press
Release Date : 2018-01-18
Epr Imaging And In Vivo Epr written by Gareth R. Eaton and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-18 with Science categories.
This volume provides a detailed examination of the physical basis for EPR imaging and in vivo EPR spectroscopy, experimental arrangements, and data analysis. The EPR imaging methods described include continuous wave, spin-echo-detected and ENDOR-detected EPR with constant, stepped, modulated, and pulsed magnetic field gradients. Applications described include inhomogeneous materials, diffusion kinetics, reaction kinetics, orientation of liquid crystals, microwave distributions, magnetic field distributions, superconductors, radiation damage, and defects in solids. The book also covers other topics important to in vivo studies, including in vivo EPR spectroscopy, low-frequency EPR, state-of-the-art low-frequency EPR instruments, achievable sensitivity, and spin labels. The book will be of great interest to graduate students, researchers, and medical instrument developers who use EPR, as well as clinicians and chemists interested in the relationship between in vivo radicals (such as superoxide and diseases).