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Author : Samuli Siltanen
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (318 download)
Download or read book Electrical Impedance Tomography and Faddeev Green's Functions written by Samuli Siltanen and published by . This book was released on 1999 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jennifer L. Mueller
Publisher : SIAM
ISBN 13 : 1611972337
Total Pages : 349 pages
Book Rating : 4.6/5 (119 download)
Download or read book Linear and Nonlinear Inverse Problems with Practical Applications written by Jennifer L. Mueller and published by SIAM. This book was released on 2012-11-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.
Author : Christopher W. Curtis
Publisher : American Mathematical Soc.
ISBN 13 : 1470410508
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)
Download or read book Nonlinear Wave Equations written by Christopher W. Curtis and published by American Mathematical Soc.. This book was released on 2015-03-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado. The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids. This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.
Download or read book An Approximation Method for Electrical Impedance Tomography written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Electrical impedance tomography is an imaging method with applications to geophysics and medical imaging. A new approximation is presented based on Nachman's 2-dimensional construction for closed domains. It improves upon existing approximations by extending the range of application from resolving 2 times the surface conductivity to imaging perfect conductors and insulators. With perfect knowledge of boundary data, this approximation exactly resolves a single conductive disc embedded in a homogenous domain. The problem, however, is ill-posed, and imaging performance degrades quickly as the distance from the boundary increases. The key to the approximation lies in (a) approximating Fadeev's Green's function (b) pre-processing measured voltages based on a boundary-integral equation (c) solving a linearized inverse problem (d) solving a d-bar equation, and (e) scaling the resulting image based on analytical results for a disc. In the development of the approximation, a new formula for Fadeev's Green's function is presented in terms of the Exponential Integral function. Also, new comparisons are made between reconstructions with and without solving the d-bar equation, showing that the added computational expense of solving the d-bar equation is not justified for radial problems. There is no discernible improvement in image quality. As a result, the approximation converts the inverse conductivity problem into a novel one-step linear problem with pre-conditioning of boundary data and scaling of the resulting image. Several extensions to this work are possible. The approximation is implemented for a circular domain with unit conductivity near the boundary, and extensions to other domains, bounded and unbounded should be possible, with non-constant conductivity near the boundary requiring further approximation. Ultimately, further research is required to ascertain whether it is possible to extend these techniques to imaging problems in three dimensions.
Author : Andy Adler
Publisher : CRC Press
ISBN 13 : 0429680872
Total Pages : 686 pages
Book Rating : 4.4/5 (296 download)
Download or read book Electrical Impedance Tomography written by Andy Adler and published by CRC Press. This book was released on 2021-12-19 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from leading international researchers, this second edition of Electrical Impedance Tomography: Methods, History and Applications has been fully updated throughout and contains new developments in the field, including sections on image interpretation and image reconstruction. Providing a thorough review of the progress of EIT, the present state of knowledge, and a look at future advances and applications, this accessible reference will be invaluable for mathematicians, physicists dealing with bioimpedance, electronic engineers involved in developing and extending its applications, and clinicians wishing to take advantage of this powerful imaging method. Key Features: Fully updated throughout, with new sections on image interpretation and image reconstruction Overview of the current state of experimental and clinical use of EIT as well as active research developments Overview of related research in geophysics, industrial process tomography, magnetic-resonance and magnetic-induction impedance imaging
Author : Ville Ramula
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.3/5 ( download)
Download or read book Asymptotical Behaviour of a Semilinear Diffusion Equation written by Ville Ramula and published by . This book was released on 2006 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Habib Ammari
Publisher : American Mathematical Soc.
ISBN 13 : 0821847457
Total Pages : 209 pages
Book Rating : 4.8/5 (218 download)
Download or read book Imaging Microstructures written by Habib Ammari and published by American Mathematical Soc.. This book was released on 2009-09-03 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the research conference, ``Imaging Microstructures: Mathematical and Computational Challenges'', held at the Institut Henri Poincare, on June 18-20, 2008. The problems that appear in imaging microstructures pose significant challenges to our community. The methods involved come from a wide range of areas of pure and applied mathematics. The main purpose of this volume is to review the state-of the-art developments from analytic, numerical, and physics perspectives.
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Author : Timo Tossavainen
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (318 download)
Download or read book On the Connectivity Properties of the [rho]-boundary of the Unit Ball written by Timo Tossavainen and published by . This book was released on 2000 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ilia Itenberg
Publisher : Springer Science & Business Media
ISBN 13 : 0817682767
Total Pages : 487 pages
Book Rating : 4.8/5 (176 download)
Download or read book Perspectives in Analysis, Geometry, and Topology written by Ilia Itenberg and published by Springer Science & Business Media. This book was released on 2011-12-13 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap between analysis, geometry, and topology. The encounters between these three fields are widespread and often provide impetus for major breakthroughs in applications. Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds; Perelman's spectacular proof of the Poincare conjecture; and the recent advances made in algebraic, complex, symplectic, and tropical geometry.
Author : Janne Heittokangas
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (318 download)
Download or read book On Complex Differential Equations in the Unit Disc written by Janne Heittokangas and published by . This book was released on 2000 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Juha Rissanen
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (318 download)
Download or read book Wavelets on Self-similar Sets and the Structure of the Spaces M1,p(E, Mu) written by Juha Rissanen and published by . This book was released on 2002 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jouni Rättyä
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (318 download)
Download or read book On Some Complex Function Spaces and Classes written by Jouni Rättyä and published by . This book was released on 2001 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heli Silvennoinen
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (318 download)
Download or read book Meromorphic Solutions of Some Composite Functional Equations written by Heli Silvennoinen and published by . This book was released on 2003 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger Vogeler
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (318 download)
Download or read book Combinatorics of Curves on Hurwitz Surfaces written by Roger Vogeler and published by . This book was released on 2004 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mika Koskenoja
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (318 download)
Download or read book Pluripotential Theory and Capacity Inequalities written by Mika Koskenoja and published by . This book was released on 2002 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Risto Korhonen
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (318 download)
Download or read book Meromorphic Solutions of Differential and Difference Equations with Deficiencies written by Risto Korhonen and published by . This book was released on 2002 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Markku Ekonen
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (318 download)
Download or read book Generalizations of the Beckenbach-Radó Theorem written by Markku Ekonen and published by . This book was released on 2002 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
