Handbook of Mathematical Methods in Imaging

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387929193
Total Pages : 1626 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Handbook of Mathematical Methods in Imaging by : Otmar Scherzer

Download or read book Handbook of Mathematical Methods in Imaging written by Otmar Scherzer and published by Springer Science & Business Media. This book was released on 2010-11-23 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

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.

The Mathematics of Medical Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 0387927115
Total Pages : 150 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis The Mathematics of Medical Imaging by : Timothy G. Feeman

Download or read book The Mathematics of Medical Imaging written by Timothy G. Feeman and published by Springer Science & Business Media. This book was released on 2010 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medical imaging is a major part of twenty-first century health care. This introduction explores the mathematical aspects of imaging in medicine to explain approximation methods in addition to computer implementation of inversion algorithms.

Introduction to the Mathematics of Medical Imaging

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Publisher : SIAM
ISBN 13 : 9780898717792
Total Pages : 794 pages
Book Rating : 4.7/5 (177 download)

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Book Synopsis Introduction to the Mathematics of Medical Imaging by : Charles L. Epstein

Download or read book Introduction to the Mathematics of Medical Imaging written by Charles L. Epstein and published by SIAM. This book was released on 2008-01-01 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most of these modalities. The text uses X-ray computed tomography (X-ray CT) as a 'pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in MR-imaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises.

Mathematical Methods in Medical Imaging III

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Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Methods in Medical Imaging III by : Fred L. Bookstein

Download or read book Mathematical Methods in Medical Imaging III written by Fred L. Bookstein and published by . This book was released on 1994 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamental Mathematics and Physics of Medical Imaging

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Publisher : CRC Press
ISBN 13 : 1498751644
Total Pages : 361 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Fundamental Mathematics and Physics of Medical Imaging by : Jack Lancaster

Download or read book Fundamental Mathematics and Physics of Medical Imaging written by Jack Lancaster and published by CRC Press. This book was released on 2016-10-14 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by a leading educator, this book teaches the fundamental mathematics and physics concepts associated with medical imaging systems. Going beyond mere description of imaging modalities, this book delves into the mechanisms of image formation and image quality common to all imaging systems: contrast mechanisms, noise, and spatial and temporal resolution, making it an important reference for medical physicists and biomedical engineering students. This is an extensively revised new edition of The Physics of Medical X-Ray Imaging by Bruce Hasegawa (Medical Physics Publishing, 1991), and includes a wide range of modalities such as X-ray CT, MRI and SPECT.

Patch-Based Techniques in Medical Imaging

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Publisher : Springer
ISBN 13 : 3319281941
Total Pages : 225 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Patch-Based Techniques in Medical Imaging by : Guorong Wu

Download or read book Patch-Based Techniques in Medical Imaging written by Guorong Wu and published by Springer. This book was released on 2016-01-07 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the First International Workshop on Patch-based Techniques in Medical Images, Patch-MI 2015, which was held in conjunction with MICCAI 2015, in Munich, Germany, in October 2015. The 25 full papers presented in this volume were carefully reviewed and selected from 35 submissions. The topics covered are such as image segmentation of anatomical structures or lesions; image enhancement; computer-aided prognostic and diagnostic; multi-modality fusion; mono and multi modal image synthesis; image retrieval; dynamic, functional physiologic and anatomic imaging; super-pixel/voxel in medical image analysis; sparse dictionary learning and sparse coding; analysis of 2D, 2D+t, 3D, 3D+t, 4D, and 4D+t data.

An Introduction to Mathematics of Emerging Biomedical Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 3540795537
Total Pages : 198 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis An Introduction to Mathematics of Emerging Biomedical Imaging by : Habib Ammari

Download or read book An Introduction to Mathematics of Emerging Biomedical Imaging written by Habib Ammari and published by Springer Science & Business Media. This book was released on 2008-05-21 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so. The volume is suitable for a graduate-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging.

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.

Mathematics and Computer Science in Medical Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 3642833063
Total Pages : 535 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Mathematics and Computer Science in Medical Imaging by : Max A. Viergever

Download or read book Mathematics and Computer Science in Medical Imaging written by Max A. Viergever and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medical imaging is an important and rapidly expanding area in medical science. Many of the methods employed are essentially digital, for example computerized tomography, and the subject has become increasingly influenced by develop ments in both mathematics and computer science. The mathematical problems have been the concern of a relatively small group of scientists, consisting mainly of applied mathematicians and theoretical physicists. Their efforts have led to workable algorithms for most imaging modalities. However, neither the fundamentals, nor the limitations and disadvantages of these algorithms are known to a sufficient degree to the physicists, engineers and physicians trying to implement these methods. It seems both timely and important to try to bridge this gap. This book summarizes the proceedings of a NATO Advanced Study Institute, on these topics, that was held in the mountains of Tuscany for two weeks in the late summer of 1986. At another (quite different) earlier meeting on medical imaging, the authors noted that each of the speakers had given, there, a long introduction in their general area, stated that they did not have time to discuss the details of the new work, but proceeded to show lots of clinical results, while excluding any mathematics associated with the area.

Mathematical Methods for Signal and Image Analysis and Representation

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Publisher : Springer Science & Business Media
ISBN 13 : 1447123530
Total Pages : 321 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Mathematical Methods for Signal and Image Analysis and Representation by : Luc Florack

Download or read book Mathematical Methods for Signal and Image Analysis and Representation written by Luc Florack and published by Springer Science & Business Media. This book was released on 2012-01-12 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods for Signal and Image Analysis and Representation presents the mathematical methodology for generic image analysis tasks. In the context of this book an image may be any m-dimensional empirical signal living on an n-dimensional smooth manifold (typically, but not necessarily, a subset of spacetime). The existing literature on image methodology is rather scattered and often limited to either a deterministic or a statistical point of view. In contrast, this book brings together these seemingly different points of view in order to stress their conceptual relations and formal analogies. Furthermore, it does not focus on specific applications, although some are detailed for the sake of illustration, but on the methodological frameworks on which such applications are built, making it an ideal companion for those seeking a rigorous methodological basis for specific algorithms as well as for those interested in the fundamental methodology per se. Covering many topics at the forefront of current research, including anisotropic diffusion filtering of tensor fields, this book will be of particular interest to graduate and postgraduate students and researchers in the fields of computer vision, medical imaging and visual perception.

The Physics and Mathematics of MRI

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681740680
Total Pages : 188 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis The Physics and Mathematics of MRI by : Richard Ansorge

Download or read book The Physics and Mathematics of MRI written by Richard Ansorge and published by Morgan & Claypool Publishers. This book was released on 2016-11-01 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magnetic Resonance Imaging is a very important clinical imaging tool. It combines different fields of physics and engineering in a uniquely complex way. MRI is also surprisingly versatile, 'pulse sequences' can be designed to yield many different types of contrast. This versatility is unique to MRI. This short book gives both an in depth account of the methods used for the operation and construction of modern MRI systems and also the principles of sequence design and many examples of applications. An important additional feature of this book is the detailed discussion of the mathematical principles used in building optimal MRI systems and for sequence design. The mathematical discussion is very suitable for undergraduates attending medical physics courses. It is also more complete than usually found in alternative books for physical scientists or more clinically orientated works.

The Essential Physics of Medical Imaging

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Publisher : Lippincott Williams & Wilkins
ISBN 13 : 1975103246
Total Pages : 1688 pages
Book Rating : 4.9/5 (751 download)

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Book Synopsis The Essential Physics of Medical Imaging by : Jerold T. Bushberg

Download or read book The Essential Physics of Medical Imaging written by Jerold T. Bushberg and published by Lippincott Williams & Wilkins. This book was released on 2020-11-24 with total page 1688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Widely regarded as the cornerstone text in the field, the successful series of editions continues to follow the tradition of a clear and comprehensive presentation of the physical principles and operational aspects of medical imaging. The Essential Physics of Medical Imaging, 4th Edition, is a coherent and thorough compendium of the fundamental principles of the physics, radiation protection, and radiation biology that underlie the practice and profession of medical imaging. Distinguished scientists and educators from the University of California, Davis, provide up-to-date, readable information on the production, characteristics, and interactions of non-ionizing and ionizing radiation, magnetic fields and ultrasound used in medical imaging and the imaging modalities in which they are used, including radiography, mammography, fluoroscopy, computed tomography, magnetic resonance, ultrasound, and nuclear medicine. This vibrant, full-color text is enhanced by more than 1,000 images, charts, and graphs, including hundreds of new illustrations. This text is a must-have resource for medical imaging professionals, radiology residents who are preparing for Core Exams, and teachers and students in medical physics and biomedical engineering.

Variational Methods in Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 0387692770
Total Pages : 323 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Variational Methods in Imaging by : Otmar Scherzer

Download or read book Variational Methods in Imaging written by Otmar Scherzer and published by Springer Science & Business Media. This book was released on 2008-09-26 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of variational methods in imaging. The presentation is mathematically rigorous and covers a detailed treatment of the approach from an inverse problems point of view. Many numerical examples accompany the theory throughout the text. It is geared towards graduate students and researchers in applied mathematics. Researchers in the area of imaging science will also find this book appealing. It can serve as a main text in courses in image processing or as a supplemental text for courses on regularization and inverse problems at the graduate level.

Handbook of Mathematical Methods in Imaging

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Author :
Publisher : Springer
ISBN 13 : 9781493907892
Total Pages : 0 pages
Book Rating : 4.9/5 (78 download)

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Book Synopsis Handbook of Mathematical Methods in Imaging by : Otmar Scherzer

Download or read book Handbook of Mathematical Methods in Imaging written by Otmar Scherzer and published by Springer. This book was released on 2015-05-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. This expanded and revised second edition contains updates to existing chapters and 16 additional entries on important mathematical methods such as graph cuts, morphology, discrete geometry, PDEs, conformal methods, to name a few. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 200 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Mathematical Methods in Image Processing and Inverse Problems

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Author :
Publisher : Springer Nature
ISBN 13 : 9811627010
Total Pages : 226 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Mathematical Methods in Image Processing and Inverse Problems by : Xue-Cheng Tai

Download or read book Mathematical Methods in Image Processing and Inverse Problems written by Xue-Cheng Tai and published by Springer Nature. This book was released on 2021-09-25 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21–24, 2018. The book was dedicated to Professor Raymond Chan on the occasion of his 60th birthday. The contents of the book cover topics including image reconstruction, image segmentation, image registration, inverse problems and so on. Deep learning, PDE, statistical theory based research methods and techniques were discussed. The state-of-the-art developments on mathematical analysis, advanced modeling, efficient algorithm and applications were presented. The collected papers in this book also give new research trends in deep learning and optimization for imaging science. It should be a good reference for researchers working on related problems, as well as for researchers working on computer vision and visualization, inverse problems, image processing and medical imaging.

Mathematical Methods in Medical Imaging

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Author :
Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematical Methods in Medical Imaging by :

Download or read book Mathematical Methods in Medical Imaging written by and published by . This book was released on 1994 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: