The Radon Transform and Medical Imaging

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Publisher : SIAM
ISBN 13 : 1611973287
Total Pages : 238 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis The Radon Transform and Medical Imaging by : Peter Kuchment

Download or read book The Radon Transform and Medical Imaging written by Peter Kuchment and published by SIAM. This book was released on 2014-03-20 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Radon Transform Image Processing System

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Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.:/5 (33 download)

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Book Synopsis A Radon Transform Image Processing System by : William Brooks Baringer

Download or read book A Radon Transform Image Processing System written by William Brooks Baringer and published by . This book was released on 1990 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Radon Transforms and Imaging by Scattered Particles: Broken Rays, Cones, and Stars in Tomography

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Publisher : Contemporary Mathematics and I
ISBN 13 : 9789811242434
Total Pages : 0 pages
Book Rating : 4.2/5 (424 download)

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Book Synopsis Generalized Radon Transforms and Imaging by Scattered Particles: Broken Rays, Cones, and Stars in Tomography by : Gaik Ambartsoumian

Download or read book Generalized Radon Transforms and Imaging by Scattered Particles: Broken Rays, Cones, and Stars in Tomography written by Gaik Ambartsoumian and published by Contemporary Mathematics and I. This book was released on 2023-04-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This solutions manual is a companion to the workbook, Practical Numerical Mathematics with MATLAB: A workbook. It is intended for use by individual students independently studying the workbook and provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders.

The Radon Transform and Some of Its Applications

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Publisher : Courier Corporation
ISBN 13 : 0486462412
Total Pages : 306 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis The Radon Transform and Some of Its Applications by : Stanley R. Deans

Download or read book The Radon Transform and Some of Its Applications written by Stanley R. Deans and published by Courier Corporation. This book was released on 2007-10-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of value to mathematicians, physicists, and engineers, this excellent introduction to Radon transform covers both theory and applications, with a rich array of examples and literature that forms a valuable reference. This 1993 edition is a revised and updated version by the author of his pioneering work.

Image Processing

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Publisher : CRC Press
ISBN 13 : 1351832379
Total Pages : 468 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Image Processing by : Artyom M. Grigoryan

Download or read book Image Processing written by Artyom M. Grigoryan and published by CRC Press. This book was released on 2018-09-03 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on mathematical methods in computer tomography, Image Processing: Tensor Transform and Discrete Tomography with MATLAB® introduces novel approaches to help in solving the problem of image reconstruction on the Cartesian lattice. Specifically, it discusses methods of image processing along parallel rays to more quickly and accurately reconstruct images from a finite number of projections, thereby avoiding overradiation of the body during a computed tomography (CT) scan. The book presents several new ideas, concepts, and methods, many of which have not been published elsewhere. New concepts include methods of transferring the geometry of rays from the plane to the Cartesian lattice, the point map of projections, the particle and its field function, and the statistical model of averaging. The authors supply numerous examples, MATLAB®-based programs, end-of-chapter problems, and experimental results of implementation. The main approach for image reconstruction proposed by the authors differs from existing methods of back-projection, iterative reconstruction, and Fourier and Radon filtering. In this book, the authors explain how to process each projection by a system of linear equations, or linear convolutions, to calculate the corresponding part of the 2-D tensor or paired transform of the discrete image. They then describe how to calculate the inverse transform to obtain the reconstruction. The proposed models for image reconstruction from projections are simple and result in more accurate reconstructions. Introducing a new theory and methods of image reconstruction, this book provides a solid grounding for those interested in further research and in obtaining new results. It encourages readers to develop effective applications of these methods in CT.

The Radon Transform

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817641092
Total Pages : 214 pages
Book Rating : 4.6/5 (41 download)

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Book Synopsis The Radon Transform by : Sigurdur Helgason

Download or read book The Radon Transform written by Sigurdur Helgason and published by Springer Science & Business Media. This book was released on 1999-08-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ridgelets

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Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.:/5 (74 download)

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Book Synopsis Ridgelets by : Emmanuel Jean Candes

Download or read book Ridgelets written by Emmanuel Jean Candes and published by . This book was released on 1998 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Single hidden-layer feedforward neural networks have been proposed as an approach to bypass the curse of dimensionality and are now becoming widely applied to approximation or prediction in applied sciences. In that approach, one approximates a multivariate target function by a sum of ridge functions; this is similar to projection pursuit in the literature of statistics. This approach poses new and challenging questions both at a practical and theorectical level, ranging from the construction of neural networks to their efficiency and capability. The topic of this thesis is to show that ridgelets, a new set of functions, provide an elegant tool to answer some of these fundamental questions ...

The Radon Transform

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Publisher : de Gruyter
ISBN 13 : 9783110559415
Total Pages : 0 pages
Book Rating : 4.5/5 (594 download)

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Book Synopsis The Radon Transform by : Ronny Ramlau

Download or read book The Radon Transform written by Ronny Ramlau and published by de Gruyter. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1917, Johann Radon published his fundamental work, where he introduced what is now called the Radon transform. Including important contributions by several experts, this book reports on ground-breaking developments related to the Radon transform

Image Processing and Transputers

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Publisher : IOS Press
ISBN 13 : 9789051990713
Total Pages : 202 pages
Book Rating : 4.9/5 (97 download)

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Book Synopsis Image Processing and Transputers by : Hugh C. Webber

Download or read book Image Processing and Transputers written by Hugh C. Webber and published by IOS Press. This book was released on 1992 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fourier Methods in Imaging

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Publisher : John Wiley & Sons
ISBN 13 : 1119991862
Total Pages : 1005 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Fourier Methods in Imaging by : Roger L. Easton Jr.

Download or read book Fourier Methods in Imaging written by Roger L. Easton Jr. and published by John Wiley & Sons. This book was released on 2010-11-18 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Methods in Imaging introduces the mathematical tools for modeling linear imaging systems to predict the action of the system or for solving for the input. The chapters are grouped into five sections, the first introduces the imaging “tasks” (direct, inverse, and system analysis), the basic concepts of linear algebra for vectors and functions, including complex-valued vectors, and inner products of vectors and functions. The second section defines "special" functions, mathematical operations, and transformations that are useful for describing imaging systems. Among these are the Fourier transforms of 1-D and 2-D function, and the Hankel and Radon transforms. This section also considers approximations of the Fourier transform. The third and fourth sections examine the discrete Fourier transform and the description of imaging systems as linear "filters", including the inverse, matched, Wiener and Wiener-Helstrom filters. The final section examines applications of linear system models to optical imaging systems, including holography. Provides a unified mathematical description of imaging systems. Develops a consistent mathematical formalism for characterizing imaging systems. Helps the reader develop an intuitive grasp of the most common mathematical methods, useful for describing the action of general linear systems on signals of one or more spatial dimensions. Offers parallel descriptions of continuous and discrete cases. Includes many graphical and pictorial examples to illustrate the concepts. This book helps students develop an understanding of mathematical tools for describing general one- and two-dimensional linear imaging systems, and will also serve as a reference for engineers and scientists

Biosignal and Medical Image Processing

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Publisher : CRC Press
ISBN 13 : 1439878064
Total Pages : 470 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Biosignal and Medical Image Processing by : John L. Semmlow

Download or read book Biosignal and Medical Image Processing written by John L. Semmlow and published by CRC Press. This book was released on 2011-03-23 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relying heavily on MATLAB® problems and examples, as well as simulated data, this text/reference surveys a vast array of signal and image processing tools for biomedical applications, providing a working knowledge of the technologies addressed while showcasing valuable implementation procedures, common pitfalls, and essential application concepts. The first and only textbook to supply a hands-on tutorial in biomedical signal and image processing, it offers a unique and proven approach to signal processing instruction, unlike any other competing source on the topic. The text is accompanied by a CD with support data files and software including all MATLAB examples and figures found in the text.

Handbook of Research on Intelligent Data Processing and Information Security Systems

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Publisher : IGI Global
ISBN 13 : 1799812928
Total Pages : 434 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Intelligent Data Processing and Information Security Systems by : Bilan, Stepan Mykolayovych

Download or read book Handbook of Research on Intelligent Data Processing and Information Security Systems written by Bilan, Stepan Mykolayovych and published by IGI Global. This book was released on 2019-11-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intelligent technologies have emerged as imperative tools in computer science and information security. However, advanced computing practices have preceded new methods of attacks on the storage and transmission of data. Developing approaches such as image processing and pattern recognition are susceptible to breaches in security. Modern protection methods for these innovative techniques require additional research. The Handbook of Research on Intelligent Data Processing and Information Security Systems provides emerging research exploring the theoretical and practical aspects of cyber protection and applications within computer science and telecommunications. Special attention is paid to data encryption, steganography, image processing, and recognition, and it targets professionals who want to improve their knowledge in order to increase strategic capabilities and organizational effectiveness. As such, this book is ideal for analysts, programmers, computer engineers, software engineers, mathematicians, data scientists, developers, IT specialists, academicians, researchers, and students within fields of information technology, information security, robotics, artificial intelligence, image processing, computer science, and telecommunications.

Transforms and Applications Handbook

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Publisher : CRC Press
ISBN 13 : 1420066536
Total Pages : 911 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Transforms and Applications Handbook by : Alexander D. Poularikas

Download or read book Transforms and Applications Handbook written by Alexander D. Poularikas and published by CRC Press. This book was released on 2018-09-03 with total page 911 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.

Introduction to Subsurface Imaging

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Publisher : Cambridge University Press
ISBN 13 : 1139495348
Total Pages : 455 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Introduction to Subsurface Imaging by : Bahaa Saleh

Download or read book Introduction to Subsurface Imaging written by Bahaa Saleh and published by Cambridge University Press. This book was released on 2011-03-17 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing and evaluating the basic principles and methods of subsurface sensing and imaging, Introduction to Subsurface Imaging is a clear and comprehensive treatment that links theory to a wide range of real-world applications in medicine, biology, security and geophysical/environmental exploration. It integrates the different sensing techniques (acoustic, electric, electromagnetic, optical, x-ray or particle beams) by unifying the underlying physical and mathematical similarities, and computational and algorithmic methods. Time-domain, spectral and multisensor methods are also covered, whilst all the necessary mathematical, statistical and linear systems tools are given in useful appendices to make the book self-contained. Featuring a logical blend of theory and applications, a wealth of color illustrations, homework problems and numerous case studies, this is suitable for use as both a course text and as a professional reference.

Digital Signal Processing for Medical Imaging Using Matlab

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Publisher : Springer Science & Business Media
ISBN 13 : 1461431395
Total Pages : 116 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Digital Signal Processing for Medical Imaging Using Matlab by : E.S. Gopi

Download or read book Digital Signal Processing for Medical Imaging Using Matlab written by E.S. Gopi and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes medical imaging systems, such as X-ray, Computed tomography, MRI, etc. from the point of view of digital signal processing. Readers will see techniques applied to medical imaging such as Radon transformation, image reconstruction, image rendering, image enhancement and restoration, and more. This book also outlines the physics behind medical imaging required to understand the techniques being described. The presentation is designed to be accessible to beginners who are doing research in DSP for medical imaging. Matlab programs and illustrations are used wherever possible to reinforce the concepts being discussed.

New Approaches to Image Processing based Failure Analysis of Nano-Scale ULSI Devices

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Publisher : William Andrew
ISBN 13 : 0128000171
Total Pages : 110 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis New Approaches to Image Processing based Failure Analysis of Nano-Scale ULSI Devices by : Zeev Zalevsky

Download or read book New Approaches to Image Processing based Failure Analysis of Nano-Scale ULSI Devices written by Zeev Zalevsky and published by William Andrew. This book was released on 2013-11-13 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Approaches to Image Processing Based Failure Analysis of Nano-Scale ULSI Devices introduces the reader to transmission and scanning microscope image processing for metal and non-metallic microstructures. Engineers and scientists face the pressing problem in ULSI development and quality assurance: microscopy methods can't keep pace with the continuous shrinking of feature size in microelectronics. Nanometer scale sizes are below the resolution of light, and imaging these features is nearly impossible even with electron microscopes, due to image noise. This book presents novel "smart" image processing methods, applications, and case studies concerning quality improvement of microscope images of microelectronic chips and process optimization. It explains an approach for high-resolution imaging of advanced metallization for micro- and nanoelectronics. This approach obviates the time-consuming preparation and selection of microscope measurement and sample conditions, enabling not only better electron-microscopic resolution, but also more efficient testing and quality control. This in turn leads to productivity gains in design and development of nano-scale ULSI chips. The authors also present several approaches for super-resolving low-resolution images to improve failure analysis of microelectronic chips. - Acquaints users with new software-based approaches to enhance high-resolution microscope imaging of microchip structures - Demonstrates how these methods lead to productivity gains in the development of ULSI chips - Presents several techniques for the superresolution of images, enabling engineers and scientists to improve their results in failure analysis of microelectronic chips

Mathematical Methods in Image Reconstruction

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Publisher : SIAM
ISBN 13 : 0898716225
Total Pages : 226 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Methods in Image Reconstruction by : Frank Natterer

Download or read book Mathematical Methods in Image Reconstruction written by Frank Natterer and published by SIAM. This book was released on 2001-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with a superior understanding of the mathematical principles behind imaging.