Poorly Visible Media in X-Ray Tomography PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Poorly Visible Media in X-Ray Tomography PDF full book. Access full book title Poorly Visible Media in X-Ray Tomography by V. G. Nazarov. Download full books in PDF and EPUB format.
Author: V. G. Nazarov
Publisher: VSP
ISBN: 9789067643740
Category : Science
Languages : en
Pages : 312
Get Book Here
Book Description
The tomography problem considered in this volume of the Inverse and Ill-Posed Problems Series consists of finding an essential part of information about the internal structure of an unknown medium. More particularly, the contact boundaries between various materials in the medium are sought. This investigation is implemented by studying an appropriate mathematical model, which is represented as a transport equation (linear Boltzmann's equation) together with certain boundary conditions. Both theoretical and numerical methods have been used and the results consist of proved theorems, computer testing of the corresponding algorithms, together with a number of tables. This book may be considered as a continuation and application of Transport Equation and Tomography by D.S. Anikonov, A.E. Kovtanyuk and I.V. Prokhorov, previously published in this series.
Author: V. G. Nazarov
Publisher: VSP
ISBN: 9789067643740
Category : Science
Languages : en
Pages : 312
Get Book Here
Book Description
The tomography problem considered in this volume of the Inverse and Ill-Posed Problems Series consists of finding an essential part of information about the internal structure of an unknown medium. More particularly, the contact boundaries between various materials in the medium are sought. This investigation is implemented by studying an appropriate mathematical model, which is represented as a transport equation (linear Boltzmann's equation) together with certain boundary conditions. Both theoretical and numerical methods have been used and the results consist of proved theorems, computer testing of the corresponding algorithms, together with a number of tables. This book may be considered as a continuation and application of Transport Equation and Tomography by D.S. Anikonov, A.E. Kovtanyuk and I.V. Prokhorov, previously published in this series.
Author: Andreas Maier
Publisher: Springer
ISBN: 3319965204
Category : Computers
Languages : en
Pages : 263
Get Book Here
Book Description
This open access book gives a complete and comprehensive introduction to the fields of medical imaging systems, as designed for a broad range of applications. The authors of the book first explain the foundations of system theory and image processing, before highlighting several modalities in a dedicated chapter. The initial focus is on modalities that are closely related to traditional camera systems such as endoscopy and microscopy. This is followed by more complex image formation processes: magnetic resonance imaging, X-ray projection imaging, computed tomography, X-ray phase-contrast imaging, nuclear imaging, ultrasound, and optical coherence tomography.
Author: Petrov Yuri P.
Publisher: Walter de Gruyter
ISBN: 3110195305
Category : Mathematics
Languages : en
Pages : 245
Get Book Here
Book Description
This book deals with one of the key problems in applied mathematics, namely the investigation into and providing for solution stability in solving equations with due allowance for inaccuracies in set initial data, parameters and coefficients of a mathematical model for an object under study, instrumental function, initial conditions, etc., and also with allowance for miscalculations, including roundoff errors. Until recently, all problems in mathematics, physics and engineering were divided into two classes: well-posed problems and ill-posed problems. The authors introduce a third class of problems: intermediate ones, which are problems that change their property of being well- or ill-posed on equivalent transformations of governing equations, and also problems that display the property of being either well- or ill-posed depending on the type of the functional space used. The book is divided into two parts: Part one deals with general properties of all three classes of mathematical, physical and engineering problems with approaches to solve them; Part two deals with several stable models for solving inverse ill-posed problems, illustrated with numerical examples.
Author: Serikkali E. Temirbolat
Publisher: Walter de Gruyter
ISBN: 3110915510
Category : Mathematics
Languages : en
Pages : 152
Get Book Here
Book Description
This monograph extends well-known facts to new classes of problems and works out novel approaches to the solution of these problems. It is devoted to the questions of ill-posed boundary-value problems for systems of various types of the first-order differential equations with constant coefficients and the methods for their solution.
Author: Mikhail M. Lavrent'ev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110936526
Category : Mathematics
Languages : en
Pages : 216
Get Book Here
Book Description
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
Author: Mikhail M. Lavrent'ev
Publisher: Walter de Gruyter
ISBN: 3110960729
Category : Mathematics
Languages : en
Pages : 697
Get Book Here
Book Description
This book consists of three major parts. The first two parts deal with general mathematical concepts and certain areas of operator theory. The third part is devoted to ill-posed problems. It can be read independently of the first two parts and presents a good example of applying the methods of calculus and functional analysis. The first part "Basic Concepts" briefly introduces the language of set theory and concepts of abstract, linear and multilinear algebra. Also introduced are the language of topology and fundamental concepts of calculus: the limit, the differential, and the integral. A special section is devoted to analysis on manifolds. The second part "Operators" describes the most important function spaces and operator classes for both linear and nonlinear operators. Different kinds of generalized functions and their transformations are considered. Elements of the theory of linear operators are presented. Spectral theory is given a special focus. The third part "Ill-Posed Problems" is devoted to problems of mathematical physics, integral and operator equations, evolution equations and problems of integral geometry. It also deals with problems of analytic continuation. Detailed coverage of the subjects and numerous examples and exercises make it possible to use the book as a textbook on some areas of calculus and functional analysis. It can also be used as a reference textbook because of the extensive scope and detailed references with comments.
Author: Sergey I. Kabanikhin
Publisher: Walter de Gruyter
ISBN: 3110224011
Category : Mathematics
Languages : en
Pages : 476
Get Book Here
Book Description
The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a subject in which its creator takes a keen interest. The concept of ill-posed problems was introduced by Hadamard with the comment that these problems are physically meaningless and not worthy of the attention of serious researchers. Despite Hadamard's pessimistic forecasts, however, his unloved "child" has turned into a powerful theory whose results are used in many fields of pure and applied mathematics. What is the secret of its success? The answer is clear. Ill-posed problems occur everywhere and it is unreasonable to ignore them. Unlike ill-posed problems, inverse problems have no strict mathematical definition. In general, they can be described as the task of recovering a part of the data of a corresponding direct (well-posed) problem from information about its solution. Inverse problems were first encountered in practice and are mostly ill-posed. The urgent need for their solution, especially in geological exploration and medical diagnostics, has given powerful impetus to the development of the theory of ill-posed problems. Nowadays, the terms "inverse problem" and "ill-posed problem" are inextricably linked to each other. Inverse and ill-posed problems are currently attracting great interest. A vast literature is devoted to these problems, making it necessary to systematize the accumulated material. This book is the first small step in that direction. We propose a classification of inverse problems according to the type of equation, unknowns and additional information. We consider specific problems from a single position and indicate relationships between them. The problems relate to different areas of mathematics, such as linear algebra, theory of integral equations, integral geometry, spectral theory and mathematical physics. We give examples of applied problems that can be studied using the techniques we describe. This book was conceived as a textbook on the foundations of the theory of inverse and ill-posed problems for university students. The author's intention was to explain this complex material in the most accessible way possible. The monograph is aimed primarily at those who are just beginning to get to grips with inverse and ill-posed problems but we hope that it will be useful to anyone who is interested in the subject.
Author: Christopher Clarke
Publisher:
ISBN: 9781999988524
Category :
Languages : en
Pages : 320
Get Book Here
Book Description
Comprehensive medical imaging physics notes aimed at those sitting the first FRCR physics exam in the UK and covering the scope of the Royal College of Radiologists syllabus. Written by Radiologists, the notes are concise and clearly organised with 100's of beautiful diagrams to aid understanding. The notes cover all of radiology physics, including basic science, x-ray imaging, CT, ultrasound, MRI, molecular imaging, and radiation dosimetry, protection and legislation. Although aimed at UK radiology trainees, it is also suitable for international residents taking similar examinations, postgraduate medical physics students and radiographers. The notes provide an excellent overview for anyone interested in the physics of radiology or just refreshing their knowledge. This third edition includes updates to reflect new legislation and many new illustrations, added sections, and removal of content no longer relevent to the FRCR physics exam. This edition has gone through strict critique and evaluation by physicists and other specialists to provide an accurate, understandable and up-to-date resource. The book summarises and pulls together content from the FRCR Physics Notes at Radiology Cafe and delivers it as a paperback or eBook for you to keep and read anytime. There are 7 main chapters, which are further subdivided into 60 sub-chapters so topics are easy to find. There is a comprehensive appendix and index at the back of the book.
Author: Sergey I. Kabanikhin
Publisher: Walter de Gruyter
ISBN: 3110960710
Category : Mathematics
Languages : en
Pages : 188
Get Book Here
Book Description
The authors consider dynamic types of inverse problems in which the additional information is given by the trace of the direct problem on a (usually time-like) surface of the domain. They discuss theoretical and numerical background of the finite-difference scheme inversion, the linearization method, the method of Gel'fand-Levitan-Krein, the boundary control method, and the projection method and prove theorems of convergence, conditional stability, and other properties of the mentioned methods.
Author: M. Amiel
Publisher: Springer Science & Business Media
ISBN: 3642685846
Category : Medical
Languages : en
Pages : 557
Get Book Here
Book Description
Journalists, always very direct and in search of sensation, essentially asked me two questions on the occasion of this workshop: What were the goals of the meeting? With the improvement of diagnosis through the development of image techniques, didn't the contrast media already have their future behind them? Many answers were provided during the course of the workshop, and in order to best answer the journalists I proposed the following synopsis. 1. Since the 1979 Colorado Springs workshop organized by E. Lasser, progress has been so rapid and the newly available works so numerous that another meeting on an international level for the purpose of pre senting and discussing these advances appeared indispensable. Why not then in Europe and why not in Lyon? To expand on this progress, by 1981 the new contrast media with less-hyperosmolar molecules, still in the trial stage in 1979, were al most all available commercially for angiography, albeit at prohibitive prices. The advantages of these various media are becoming better known; moreover, in the wake of Lasser's work, our understanding of the pathophysiology of their noxious effects is also advancing rapidly owing to the use of models (for the target organs: heart, vessel wall, nervous system, kidney; and for the more general reactions: blood cells, coagulation, complement system, circulating enzymatic systems). In addition, further new molecules are currently being studied in re search laboratories. 2.
