Tomography Impedance Imaging And Integral Geometry

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Tomography, Impedance Imaging, and Integral Geometry

Author : Eric Todd Quinto
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896990
Total Pages : 300 pages
Book Rating : 4.8/5 (969 download)

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Book Synopsis Tomography, Impedance Imaging, and Integral Geometry by : Eric Todd Quinto

Download or read book Tomography, Impedance Imaging, and Integral Geometry written by Eric Todd Quinto and published by American Mathematical Soc.. This book was released on 1991 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most exciting features of tomography is the strong relationship between high-level pure mathematics (such as harmonic analysis, partial differential equations, microlocal analysis, and group theory) and applications to medical imaging, impedance imaging, radiotherapy, and industrial nondestructive evaluation. This book contains the refereed proceedings of the AMS-SIAM Summer Seminar on Tomography, Impedance Imaging, and Integral Geometry, held at Mount Holyoke College in June 1993. A number of common themes are found among the papers. Group theory is fundamental both to tomographic sampling theorems and to pure Radon transforms. Microlocal and Fourier analysis are important for research in all three fields. Differential equations and integral geometric techniques are useful in impedance imaging. In short, a common body of mathematics can be used to solve dramatically different problems in pure and applied mathematics. Radon transforms can be used to model impedance imaging problems. These proceedings include exciting results in all three fields represented at the conference.

Integral Geometry, Radon Transforms and Complex Analysis

Author : Carlos A. Berenstein
Publisher : Springer
ISBN 13 : 3540697020
Total Pages : 166 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Integral Geometry, Radon Transforms and Complex Analysis by : Carlos A. Berenstein

Download or read book Integral Geometry, Radon Transforms and Complex Analysis written by Carlos A. Berenstein and published by Springer. This book was released on 2006-11-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.

Integral Geometry and Tomography

Author : Andrew Markoe
Publisher : American Mathematical Soc.
ISBN 13 : 0821837559
Total Pages : 176 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Integral Geometry and Tomography by : Andrew Markoe

Download or read book Integral Geometry and Tomography written by Andrew Markoe and published by American Mathematical Soc.. This book was released on 2006 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography. It grew out of the Special Session at a Sectional Meeting of the American Mathematical Society in 2004. The book contains very recent work of some of the top researchers in the field. The articles in the book deal with the determination of properties of functions on a manifold by integral theoretic methods, or by determining the geometricstructure of subsets of a manifold by analytic methods. Of particular concern are ways of reconstructing an unknown function from some of its projections. Radon transforms were developed at the beginning of the twentieth century by researchers who were motivated by problems in differential geometry,mathematical physics, and partial differential equations. Later, medical applications of these transforms produced breakthroughs in imaging technology that resulted in the 1979 Nobel Prize in Physiology and Medicine for the development of computerized tomography. Today the subject boasts substantial cross-disciplinary interactions, both in pure and applied mathematics as well as medicine, engineering, biology, physics, geosciences, and industrial testing. Therefore, this volume should be ofinterest to a wide spectrum of researchers both in mathematics and in other fields.

Integral Methods in Science and Engineering

Author : Barbara S Bertram
Publisher : CRC Press
ISBN 13 : 0429525109
Total Pages : 329 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Integral Methods in Science and Engineering by : Barbara S Bertram

Download or read book Integral Methods in Science and Engineering written by Barbara S Bertram and published by CRC Press. This book was released on 2019-05-20 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells.

Photoacoustic Imaging and Spectroscopy

Author : Lihong V. Wang
Publisher : CRC Press
ISBN 13 : 1351834983
Total Pages : 1027 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Photoacoustic Imaging and Spectroscopy by : Lihong V. Wang

Download or read book Photoacoustic Imaging and Spectroscopy written by Lihong V. Wang and published by CRC Press. This book was released on 2017-12-19 with total page 1027 pages. Available in PDF, EPUB and Kindle. Book excerpt: Photoacoustics promises to revolutionize medical imaging and may well make as dramatic a contribution to modern medicine as the discovery of the x-ray itself once did. Combining electromagnetic and ultrasonic waves synergistically, photoacoustics can provide deep speckle-free imaging with high electromagnetic contrast at high ultrasonic resolution and without any health risk. While photoacoustic imaging is probably the fastest growing biomedical imaging technology, this book is the first comprehensive volume in this emerging field covering both the physics and the remarkable noninvasive applications that are changing diagnostic medicine. Bringing together the leading pioneers in this field to write about their own work, Photoacoustic Imaging and Spectroscopy is the first to provide a full account of the latest research and developing applications in the area of biomedical photoacoustics. Photoacoustics can provide functional sensing of physiological parameters such as the oxygen saturation of hemoglobin. It can also provide high-contrast functional imaging of angiogenesis and hypermetabolism in tumors in vivo. Discussing these remarkable noninvasive applications and so much more, this reference is essential reading for all researchers in medical imaging and those clinicians working at the cutting-edge of modern biotechnology to develop diagnostic techniques that can save many lives and just as importantly do no harm.

Offbeat Integral Geometry on Symmetric Spaces

Author : Valery V. Volchkov
Publisher : Springer Science & Business Media
ISBN 13 : 3034805721
Total Pages : 596 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Offbeat Integral Geometry on Symmetric Spaces by : Valery V. Volchkov

Download or read book Offbeat Integral Geometry on Symmetric Spaces written by Valery V. Volchkov and published by Springer Science & Business Media. This book was released on 2013-01-30 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990. It covers a wide range of topics, including analysis on multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group. The book includes many significant recent results, some of them hitherto unpublished, among which can be pointed out uniqueness theorems for various classes of functions, far-reaching generalizations of the two-radii problem, the modern versions of the Pompeiu problem, and explicit reconstruction formulae in problems of integral geometry. These results are intriguing and useful in various fields of contemporary mathematics. The proofs given are “minimal” in the sense that they involve only those concepts and facts which are indispensable for the essence of the subject. Each chapter provides a historical perspective on the results presented and includes many interesting open problems. Readers will find this book relevant to harmonic analysis on homogeneous spaces, invariant spaces theory, integral transforms on symmetric spaces and the Heisenberg group, integral equations, special functions, and transmutation operators theory.

Voronezh Winter Mathematical Schools

Author : Peter Kuchment
Publisher : American Mathematical Soc.
ISBN 13 : 9780821809761
Total Pages : 308 pages
Book Rating : 4.8/5 (97 download)

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Book Synopsis Voronezh Winter Mathematical Schools by : Peter Kuchment

Download or read book Voronezh Winter Mathematical Schools written by Peter Kuchment and published by American Mathematical Soc.. This book was released on 1998 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Voronezh Winter Mathematical School was an annual event in the scientific life of the former Soviet Union for 25 years. Articles collected here are written by prominent mathematicians and former lecturers and participants of the school, covering a range of subjects in analysis and geometry. Specific topics include global analysis, harmonic analysis, function theory, dynamical systems, operator theory, mathematical physics, spectral theory, homogenization, algebraic geometry, differential geometry, and geometric analysis. For researchers and graduate students in analysis, geometry, and mathematical physics. No index. Annotation copyrighted by Book News, Inc., Portland, OR

The Radon Transform, Inverse Problems, and Tomography

Author : Gestur Ólafsson
Publisher : American Mathematical Soc.
ISBN 13 : 0821839306
Total Pages : 176 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Radon Transform, Inverse Problems, and Tomography by : Gestur Ólafsson

Download or read book The Radon Transform, Inverse Problems, and Tomography written by Gestur Ólafsson and published by American Mathematical Soc.. This book was released on 2006 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their emergence in 1917, tomography and inverse problems remain active and important fields that combine pure and applied mathematics and provide strong interplay between diverse mathematical problems and applications. The applied side is best known for medical and scientific use, in particular, medical imaging, radiotherapy, and industrial non-destructive testing. Doctors use tomography to see the internal structure of the body or to find functional information, such asmetabolic processes, noninvasively. Scientists discover defects in objects, the topography of the ocean floor, and geological information using X-rays, geophysical measurements, sonar, or other data. This volume, based on the lectures in the Short Course The Radon Transform and Applications to InverseProblems at the American Mathematical Society meeting in Atlanta, GA, January 3-4, 2005, brings together articles on mathematical aspects of tomography and related inverse problems. The articles cover introductory material, theoretical problems, and practical issues in 3-D tomography, impedance imaging, local tomography, wavelet methods, regularization and approximate inverse, sampling, and emission tomography. All contributions are written for a general audience, and the authors have includedreferences for further reading.

Convexity from the Geometric Point of View

Author : Vitor Balestro
Publisher : Springer Nature
ISBN 13 : 3031505077
Total Pages : 1195 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Convexity from the Geometric Point of View by : Vitor Balestro

Download or read book Convexity from the Geometric Point of View written by Vitor Balestro and published by Springer Nature. This book was released on with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the International Conference Integral Geometry and Convexity

Author : Eric Grinberg
Publisher : World Scientific
ISBN 13 : 9812565132
Total Pages : 238 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Proceedings of the International Conference Integral Geometry and Convexity by : Eric Grinberg

Download or read book Proceedings of the International Conference Integral Geometry and Convexity written by Eric Grinberg and published by World Scientific. This book was released on 2006 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral geometry, known as geometric probability in the past, originated from Buffon's needle experiment. Remarkable advances have been made in several areas that involve the theory of convex bodies. This volume brings together contributions by leading international researchers in integral geometry, convex geometry, complex geometry, probability, statistics, and other convexity related branches. The articles cover both recent results and exciting directions for future research.

Integral Geometry And Convexity - Proceedings Of The International Conference

Author : Eric L Grinberg
Publisher : World Scientific
ISBN 13 : 9814479276
Total Pages : 238 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Integral Geometry And Convexity - Proceedings Of The International Conference by : Eric L Grinberg

Download or read book Integral Geometry And Convexity - Proceedings Of The International Conference written by Eric L Grinberg and published by World Scientific. This book was released on 2006-04-20 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral geometry, known as geometric probability in the past, originated from Buffon's needle experiment. Remarkable advances have been made in several areas that involve the theory of convex bodies. This volume brings together contributions by leading international researchers in integral geometry, convex geometry, complex geometry, probability, statistics, and other convexity related branches. The articles cover both recent results and exciting directions for future research.

Radon Transforms and Tomography

Author : Eric Todd Quinto
Publisher : American Mathematical Soc.
ISBN 13 : 0821821350
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Radon Transforms and Tomography by : Eric Todd Quinto

Download or read book Radon Transforms and Tomography written by Eric Todd Quinto and published by American Mathematical Soc.. This book was released on 2001 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most exciting features of the fields of Radon transforms and tomography is the strong relationship between high-level pure mathematics and applications to areas such as medical imaging and industrial nondestructive evaluation. The proceedings featured in this volume bring together fundamental research articles in the major areas of Radon transforms and tomography. This volume includes expository papers that are of special interest to beginners as well as advanced researchers. Topics include local tomography and wavelets, Lambda tomography and related methods, tomographic methods in RADAR, ultrasound, Radon transforms and differential equations, and the Pompeiu problem. The major themes in Radon transforms and tomography are represented among the research articles. Pure mathematical themes include vector tomography, microlocal analysis, twistor theory, Lie theory, wavelets, harmonic analysis, and distribution theory. The applied articles employ high-quality pure mathematics to solve important practical problems. Effective scanning geometries are developed and tested for a NASA wind tunnel. Algorithms for limited electromagnetic tomographic data and for impedance imaging are developed and tested. Range theorems are proposed to diagnose problems with tomography scanners. Principles are given for the design of X-ray tomography reconstruction algorithms, and numerical examples are provided. This volume offers readers a comprehensive source of fundamental research useful to both beginners and advanced researchers in the fields.

Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis

Author : Mikhail M. Lavrent'ev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110936526
Total Pages : 216 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis by : Mikhail M. Lavrent'ev

Download or read book Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis written by Mikhail M. Lavrent'ev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings of the international Conference "Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis", held at the Samarkand State University, Uzbekistan in September 2000 bring together fundamental research articles in the major areas of the numerated fields of analysis and mathematical physics. The book covers the following topics: theory of ill-posed problems inverse problems for differential equations boundary value problems for equations of mixed type integral geometry mathematical modelling and numerical methods in natural sciences

Operator Algebras, Toeplitz Operators and Related Topics

Author : Wolfram Bauer
Publisher : Springer Nature
ISBN 13 : 3030446514
Total Pages : 467 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Operator Algebras, Toeplitz Operators and Related Topics by : Wolfram Bauer

Download or read book Operator Algebras, Toeplitz Operators and Related Topics written by Wolfram Bauer and published by Springer Nature. This book was released on 2020-09-01 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Probability Theory and Mathematical Statistics

Author : Ibragimoc
Publisher : CRC Press
ISBN 13 : 9782919875146
Total Pages : 336 pages
Book Rating : 4.8/5 (751 download)

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Book Synopsis Probability Theory and Mathematical Statistics by : Ibragimoc

Download or read book Probability Theory and Mathematical Statistics written by Ibragimoc and published by CRC Press. This book was released on 1996-09-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.

From Fourier Analysis and Number Theory to Radon Transforms and Geometry

Author : Hershel M. Farkas
Publisher : Springer Science & Business Media
ISBN 13 : 1461440750
Total Pages : 563 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis From Fourier Analysis and Number Theory to Radon Transforms and Geometry by : Hershel M. Farkas

Download or read book From Fourier Analysis and Number Theory to Radon Transforms and Geometry written by Hershel M. Farkas and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore.A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.

Mathematics and Physics of Emerging Biomedical Imaging

Author : Committee on the Mathematics and Physics of Emerging Dynamic Biomedical Imaging
Publisher : National Academies Press
ISBN 13 : 0309552923
Total Pages : 261 pages
Book Rating : 4.3/5 (95 download)

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Book Synopsis Mathematics and Physics of Emerging Biomedical Imaging by : Committee on the Mathematics and Physics of Emerging Dynamic Biomedical Imaging

Download or read book Mathematics and Physics of Emerging Biomedical Imaging written by Committee on the Mathematics and Physics of Emerging Dynamic Biomedical Imaging and published by National Academies Press. This book was released on 1996-03-13 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This cross-disciplinary book documents the key research challenges in the mathematical sciences and physics that could enable the economical development of novel biomedical imaging devices. It is hoped that the infusion of new insights from mathematical scientists and physicists will accelerate progress in imaging. Incorporating input from dozens of biomedical researchers who described what they perceived as key open problems of imaging that are amenable to attack by mathematical scientists and physicists, this book introduces the frontiers of biomedical imaging, especially the imaging of dynamic physiological functions, to the educated nonspecialist. Ten imaging modalities are covered, from the well-established (e.g., CAT scanning, MRI) to the more speculative (e.g., electrical and magnetic source imaging). For each modality, mathematics and physics research challenges are identified and a short list of suggested reading offered. Two additional chapters offer visions of the next generation of surgical and interventional techniques and of image processing. A final chapter provides an overview of mathematical issues that cut across the various modalities.