Full Read and Download Reference eBook
Microlocal Analysis And Inverse Problems In Tomography Geometry And Nonlinear Pdes Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Microlocal Analysis And Inverse Problems In Tomography Geometry And Nonlinear Pdes book. This book definitely worth reading, it is an incredibly well-written.
Author : Eric Todd Quinto
Publisher :
Page : 0 pages
File Size : 44,78 MB
Release : 2024
Category :
ISBN : 9783111336831
Author : Eric Todd Quinto
Publisher : Walter de Gruyter GmbH & Co KG
Page : 252 pages
File Size : 23,41 MB
Release : 2024-09-23
Category : Mathematics
ISBN : 3111338010
Microlocal Analysis has proven to be a powerful tool for analyzing and solving inverse problems; including answering questions about stability, uniqueness, recovery of singularities, etc. This volume, presents several studies on microlocal methods in problems in tomography, integral geometry, geodesic transforms, travel time tomography, thermoacoustic tomography, Compton CT, cosmology, nonlinear inverse problems, and others.
Author : Gestur Ólafsson
Publisher : American Mathematical Soc.
Page : 176 pages
File Size : 22,83 MB
Release : 2006
Category : Mathematics
ISBN : 0821839306
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.
Author : Peter Kuchment
Publisher : SIAM
Page : 238 pages
File Size : 23,98 MB
Release : 2014-03-20
Category : Computers
ISBN : 1611973287
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 tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study.
Author : Guillaume Bal
Publisher : American Mathematical Soc.
Page : 194 pages
File Size : 30,98 MB
Release : 2011
Category : Mathematics
ISBN : 0821853015
This volume contains research and review articles written by participants of two related international workshops ``Mathematical Methods in Emerging Modalities of Medical Imaging'' (October 2009) and ``Inverse Transport Theory and Tomography'' (May 2010), which were held at the Banff International Research Station in Banff, Canada. These workshops brought together mathematicians, physicists, engineers, and medical researchers working at the cutting edge of medical imaging research and addressed the demanding mathematical problems arising in this area. The articles, written by leading experts, address important analytic, numerical, and physical issues of the newly developing imaging modalities (e.g., photoacoustics, current impedance imaging, hybrid imaging techniques, elasticity imaging), as well as the recent progress in resolving outstanding problems of more traditional modalities, such as SPECT, ultrasound imaging, and inverse transport theory. Related topics of invisibility cloaking are also addressed.
Author : Sigurdur Helgason
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 18,63 MB
Release : 1999-08-01
Category : Mathematics
ISBN : 9780817641092
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 resonance scanning, and tomography. This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980. Aimed at beginning graduate students, this monograph will be useful in the classroom or as a resource for self-study. Readers will find here an accessible introduction to Radon transform theory, an elegant topic in integral geometry.
Author : Alexander H. Barnett
Publisher : Cambridge University Press
Page : 321 pages
File Size : 47,68 MB
Release : 2022-05-05
Category : Mathematics
ISBN : 1009007785
Recovering the phase of the Fourier transform is a ubiquitous problem in imaging applications from astronomy to nanoscale X-ray diffraction imaging. Despite the efforts of a multitude of scientists, from astronomers to mathematicians, there is, as yet, no satisfactory theoretical or algorithmic solution to this class of problems. Written for mathematicians, physicists and engineers working in image analysis and reconstruction, this book introduces a conceptual, geometric framework for the analysis of these problems, leading to a deeper understanding of the essential, algorithmically independent, difficulty of their solutions. Using this framework, the book studies standard algorithms and a range of theoretical issues in phase retrieval and provides several new algorithms and approaches to this problem with the potential to improve the reconstructed images. The book is lavishly illustrated with the results of numerous numerical experiments that motivate the theoretical development and place it in the context of practical applications.
Author : Maciej Zworski
Publisher : American Mathematical Soc.
Page : 448 pages
File Size : 10,4 MB
Release : 2012
Category : Mathematics
ISBN : 0821883208
"...A graduate level text introducing readers to semiclassical and microlocal methods in PDE." -- from xi.
Author : Gabor T. Herman
Publisher : CRC Press
Page : 671 pages
File Size : 14,63 MB
Release : 1987-01-01
Category : Mathematics
ISBN : 9780852744758
This book is based on lectures given to graduate students of physics & applied mathematics & engineers at a numerical analysis Summer School on inverse problems sponsored by the French Atomic Energy Commission, Electricite de France & the National Resarch Institute for Computer Science & Automation. The material covered is tutorial & aimed at explaining the basic mathematical methods with reference to applications in optics, medical sciences, geophysics, astronomy, radar acoustics, NDT, communications & signal processing.
Author : Kristine K. Fowler
Publisher : CRC Press
Page : 412 pages
File Size : 50,93 MB
Release : 2004-05-25
Category : Language Arts & Disciplines
ISBN : 9780824750350
This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.