Inverse Problems, Tomography, and Image Processing - Softcover

Softcover

ISBN 10: 1489919007 ISBN 13: 9781489919007

Verlag: Springer, 2013

Inhaltsangabe

In this volume selected papers delivered at the special sessions on "Inverse problems" and "Tomography and image processing" are published. These sessions were organized by A. G. Ramm at the first international congress ofISAAC (International Society for Analysis, Appli­ cations and Computing) which was held at the University of Delaware, June 3-7, 1997. The papers in this volume deal with a wide variety of problems including some theoretical and nu­ merical problems arising in various inverse problems of interest in applications (Athanasiadis, Ramm and Stratis, Crosta, Gutman, Kamimura, Kochikov, Kuramshina and Yagola, Ramm, Yakhno, Yamamoto), in tomography (Faridani, Katsevich, Sharafutdinov), and in image pro­ cessing (Lina, Schempp, Lobel, Pichot, Feraud and Barlaud, Weaver) These papers will be of interest to a wide audience including mathematicians, physicists, persons working in medical imaging, and theoretically oriented engineers. A.G.Ramm Manhattan, KS v CONTENTS 1. Inverse Acoustic Scattering by a Layered Obstacle C. Athanasiadis, A. G. Rarnrn, and I. G. Stratis 2. Scalar and Vector Backpropagation Applied to Shape Identification from Experimental Data: Recent Results and Open Problems .............. 9 Giovanni F. Crosta 3. Sampling in Parallel-Beam Tomography 33 Adel Faridani 4. Multidimensional Inverse Scattering Problem with Non-Reflecting Boundary Conditions ....................................... 55 Semion Gutman 5. Local Tomography with Nonsmooth Attenuation II 73 Alexander Katsevich 6. Inverse Problems of Determining Nonlinear Terms in Ordinary Differential Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . 87 . . . . . . . . Yutaka Kamimura 7. Complex Daubechies Wavelets: Filters Design and Applications 95 J.-M. Lina 8. Edge-Preserving Regularization for Quantitative Reconstruction Algorithms in Microwave Imaging . . . . . . . . . . . . . . . . . . . . . . . . .. . . 113 . . . . . . .

Über diesen Titel

Reseña del editor

Proceedings of Sessions from the First Congress of the International Society for Analysis, Applications, and Computind held in Newark, Delaware, June 2-6, 1997

Reseña del editor

The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, in all areas of today's Physical Sciences and Engineering, is well established. The purpose of the sets of volumes, the present one being the first in a planned series of sequential sets, is to make available authoritative, up to date, and self-contained accounts of some of the most important and useful of these analytical approaches and techniques. Each volume in each set will provide a detailed introduction to a specific subject area of current importance, and then goes beyond this by reviewing recent contributions, thereby serving as a valuable reference source. The progress in applicable mathematics has been brought about by the extension and development of many important analytical approaches and techniques, in areas both old and new, frequently aided by the use of computers without which the solution of realistic problems in modern Physical Sciences and Engineering would otherwise have been impossible. A case in point is the analytical technique of singular perturbation theory (Volume 3), which has a long history. In recent years it has been used in many different ways, and its importance has been enhanced by its having been used in various fields to derive sequences of asymptotic approximations, each with a higher order of accuracy than its predecessor. These approximations have, in turn, provided a better understanding of the subject and stimulated the development of new methods for the numerical solution of the higher order approximations. A typical example of this type is to be found in the general study of nonlinear wave propagation phenomena as typified by the study of water waves. Elsewhere, as with the identification and emergence of the study of inverse problems (volumes 1 and 2), new analytical approaches have stimulated the development of numerical techniques for the solution of this major class of problems. Such work divides naturally into two parts, the first being the identification and formulation of inverse problems, the theory of ill-posed problems and the class of one-dimensional inverse problems, and the second being the study and theory of multidimensional inverse problems. Volume 1: Inverse Problems 1 Volume 2: Inverse Problems 2 Alexander G. Ramm, Author These volumes present the theory of inverse spectral and scattering problems and of many other inverse problems for differential equations in an essentially self-contained way. Highlights of these volumes include novel presentation of the classical theories (Gel'fand-Levitan's and Marchenko's), analysis of the invertibility of the inversion steps in these theories, study of some new inverse problems in one-and multi-dimensional cases; I-function and applications to classical and new inverse scattering and spectral problems, study of inverse problems with "incomplete data", study of some new inverse problems for parabolic and hyperbolic equations, discussion of some non-overdetermined inverse problems, a study of inverse problems arising in the theory of ground-penetrating radars, development of DSM (dynamical systems method) for solving ill-posed nonlinear operator equations, comparison of the Ramm's inversion method for solving fixed-energy inverse scattering

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2013
• Sprache: Englisch
• ISBN 10: 1489919007
• ISBN 13: 9781489919007
• Einband: Tapa blanda
• Anzahl der Seiten: 272
• Herausgeber: Ramm Alexander G.
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland