Advertisement
| introduction to the mathematics of medical imaging: Introduction to the Mathematics of Medical Imaging Charles L. Epstein, 2008-01-01 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. |
| introduction to the mathematics of medical imaging: The Mathematics of Medical Imaging Timothy G. Feeman, 2010 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: Introduction to Medical Imaging Nadine Barrie Smith, Andrew Webb, 2010-11-18 Covering the basics of X-rays, CT, PET, nuclear medicine, ultrasound, and MRI, this textbook provides senior undergraduate and beginning graduate students with a broad introduction to medical imaging. Over 130 end-of-chapter exercises are included, in addition to solved example problems, which enable students to master the theory as well as providing them with the tools needed to solve more difficult problems. The basic theory, instrumentation and state-of-the-art techniques and applications are covered, bringing students immediately up-to-date with recent developments, such as combined computed tomography/positron emission tomography, multi-slice CT, four-dimensional ultrasound, and parallel imaging MR technology. Clinical examples provide practical applications of physics and engineering knowledge to medicine. Finally, helpful references to specialised texts, recent review articles, and relevant scientific journals are provided at the end of each chapter, making this an ideal textbook for a one-semester course in medical imaging. |
| introduction to the mathematics of medical imaging: Fundamentals of Medical Imaging Paul Suetens, 2009-08-06 Fundamentals of Medical Imaging, second edition, is an invaluable technical introduction to each imaging modality, explaining the mathematical and physical principles and giving a clear understanding of how images are obtained and interpreted. Individual chapters cover each imaging modality – radiography, CT, MRI, nuclear medicine and ultrasound – reviewing the physics of the signal and its interaction with tissue, the image formation or reconstruction process, a discussion of image quality and equipment, clinical applications and biological effects and safety issues. Subsequent chapters review image analysis and visualization for diagnosis, treatment and surgery. New to this edition: • Appendix of questions and answers • New chapter on 3D image visualization • Advanced mathematical formulae in separate text boxes • Ancillary website containing 3D animations: www.cambridge.org/suetens • Full colour illustrations throughout Engineers, clinicians, mathematicians and physicists will find this an invaluable aid in understanding the physical principles of imaging and their clinical applications. |
| introduction to the mathematics of medical imaging: The Radon Transform and Medical Imaging Peter Kuchment, 2014-03-20 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. |
| introduction to the mathematics of medical imaging: Mathematics and Computer Science in Medical Imaging Max A. Viergever, Andrew Todd-Pokropek, 2012-12-06 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. |
| introduction to the mathematics of medical imaging: An Introduction to Mathematics of Emerging Biomedical Imaging Habib Ammari, 2009-08-29 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. |
| introduction to the mathematics of medical imaging: Introduction to the Mathematics of Medical Imaging Charles L. Epstein, 2008-01-01 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 imaging modalities in current use. In the process, it also covers many important analytic concepts and techniques used in Fourier analysis, integral equations, sampling theory, and noise analysis.This text uses X-ray computed tomography as a pedagogical machine to illustrate important ideas and incorporates extensive discussions of background material making the more advanced mathematical topics accessible to readers with a less formal mathematical education. The mathematical concepts are illuminated with over 200 illustrations and numerous exercises.New to the second edition are a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, a new section on Grangreat's formula, an improved description of the gridding method, and a new section on noise analysis in MRI. Audience The book is appropriate for one- or two-semester courses at the advanced undergraduate or beginning graduate level on the mathematical foundations of modern medical imaging technologies. The text assumes an understanding of calculus, linear algebra, and basic mathematical analysis. Contents Preface to the Second Edition; Preface; How to Use This Book; Notational Conventions; Chapter 1: Measurements and Modeling; Chapter 2: Linear Models and Linear Equations; Chapter 3: A Basic Model for Tomography; Chapter 4: Introduction to the Fourier Transform; Chapter 5: Convolution; Chapter 6: The Radon Transform; Chapter 7: Introduction to Fourier Series; Chapter 8: Sampling; Chapter 9: Filters; Chapter 10: Implementing Shift Invariant Filters; Chapter 11: Reconstruction in X-Ray Tomography; Chapter 12: Imaging Artifacts in X-Ray Tomography; Chapter 13: Algebraic Reconstruction Techniques; Chapter 14: Magnetic Resonance Imaging; Chapter 15: Probability and Random Variables; Chapter 16: Applications of Probability; Chapter 17: Random Processes; Appendix A: Background Material; Appendix B: Basic Analysis; Index. |
| introduction to the mathematics of medical imaging: Introduction to Inverse Problems in Imaging M. Bertero, P. Boccacci, 2020-08-30 This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercises throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems. |
| introduction to the mathematics of medical imaging: Introduction to Biomedical Imaging Andrew Webb, 2022-10-25 Introduction to BiomedicalImaging A state-of-the-art exploration of the foundations and latest developments in biomedical imaging technology In the newly revised second edition of Introduction to Biomedical Imaging, distinguished researcher Dr. Andrew Webb delivers a comprehensive description of the fundamentals and applications of the most important current medical imaging techniques: X-ray and computed tomography, nuclear medicine, ultrasound, magnetic resonance imaging, and various optical-based methods. Each chapter explains the physical principles, instrument design, data acquisition, image reconstruction, and clinical applications of its respective modality. This latest edition incorporates descriptions of recent developments in photon counting CT, total body PET, superresolution-based ultrasound, phased-array MRI technology, optical coherence tomography, and iterative and model-based image reconstruction techniques. The final chapter discusses the increasing role of artificial intelligence/deep learning in biomedical imaging. The text also includes a thorough introduction to general image characteristics, including discussions of signal-to-noise and contrast-to-noise. Perfect for graduate and senior undergraduate students of biomedical engineering, Introduction to Biomedical Imaging, 2nd Edition will also earn a place in the libraries of medical imaging professionals with an interest in medical imaging techniques. |
| introduction to the mathematics of medical imaging: Introduction to Medical Image Analysis Rasmus R. Paulsen, Thomas B. Moeslund, 2020-05-26 This easy-to-follow textbook presents an engaging introduction to the fascinating world of medical image analysis. Avoiding an overly mathematical treatment, the text focuses on intuitive explanations, illustrating the key algorithms and concepts in a way which will make sense to students from a broad range of different backgrounds. Topics and features: explains what light is, and how it can be captured by a camera and converted into an image, as well as how images can be compressed and stored; describes basic image manipulation methods for understanding and improving image quality, and a useful segmentation algorithm; reviews the basic image processing methods for segmenting or enhancing certain features in an image, with a focus on morphology methods for binary images; examines how to detect, describe, and recognize objects in an image, and how the nature of color can be used for segmenting objects; introduces a statistical method to determine what class of object the pixels in an image represent; describes how to change the geometry within an image, how to align two images so that they are as similar as possible, and how to detect lines and paths in images; provides further exercises and other supplementary material at an associated website. This concise and accessible textbook will be invaluable to undergraduate students of computer science, engineering, medicine, and any multi-disciplinary courses that combine topics on health with data science. Medical practitioners working with medical imaging devices will also appreciate this easy-to-understand explanation of the technology. |
| introduction to the mathematics of medical imaging: Medical Imaging Technology Victor I. Mikla, Victor V. Mikla, 2013-08-23 Medical Imaging Technology reveals the physical and materials principles of medical imaging and image processing, from how images are obtained to how they are used. It covers all aspects of image formation in modern imaging modalities and addresses the techniques, instrumentation, and advanced materials used in this rapidly changing field. Covering conventional and modern medical imaging techniques, this book encompasses radiography, fluoroscopy, computed tomography, magnetic resonance imaging, ultrasound, and Raman spectroscopy in medicine. In addition to the physical principles of imaging techniques, the book also familiarizes you with the equipment and procedures used in diagnostic imaging. - Addresses the techniques, instrumentation, and advanced materials used in medical imaging - Provides practical insight into the skills, tools, and procedures used in diagnostic imaging - Focuses on selenium imagers and chalcogenide glasses |
| introduction to the mathematics of medical imaging: Mathematics and Physics of Emerging Biomedical Imaging Committee on the Mathematics and Physics of Emerging Dynamic Biomedical Imaging, Commission on Physical Sciences, Mathematics, and Applications, Division on Engineering and Physical Sciences, National Research Council, 1996-03-13 This cross-disciplinary book documents the key research challenges in the mathematical sciences and physics that could enable the economical development of novel biomedical imaging devices. It is hoped that the infusion of new insights from mathematical scientists and physicists will accelerate progress in imaging. Incorporating input from dozens of biomedical researchers who described what they perceived as key open problems of imaging that are amenable to attack by mathematical scientists and physicists, this book introduces the frontiers of biomedical imaging, especially the imaging of dynamic physiological functions, to the educated nonspecialist. Ten imaging modalities are covered, from the well-established (e.g., CAT scanning, MRI) to the more speculative (e.g., electrical and magnetic source imaging). For each modality, mathematics and physics research challenges are identified and a short list of suggested reading offered. Two additional chapters offer visions of the next generation of surgical and interventional techniques and of image processing. A final chapter provides an overview of mathematical issues that cut across the various modalities. |
| introduction to the mathematics of medical imaging: Medical Imaging Physics William R. Hendee, E. Russell Ritenour, 2002 William Hendee and Russell Ritenour's comprehensive text provides the tools necessary to be comfortable with the physical principles, technology concepts, equiment, and procedures used in diagnostic imaging, as well as to appreciate the technological capabilities and limitations of the discipline. Readers need not possess a background in physics. Broadly accessible, Medical Imaging Physics covers all aspects of image formation in modern medical imaging modalities, such as radiography, ultrasonography, computed tomopgraphy(CT), nuclear imaging, and magnetic resonance. Other topics covered include; Digital x-ray imaging Doppler ultrasound Helical CT scanning Accumulation and analysis of nuclear data Experimental radiobiology Radiation protection and safety |
| introduction to the mathematics of medical imaging: Principles of Computerized Tomographic Imaging Avinash C. Kak, Malcolm Slaney, 1988-01-01 Principles of Computerized Tomographic Imaging provides a comprehensive, tutorial-style introduction to the algorithms for reconstructing cross-sectional images from projection data and contains a complete overview of the engineering and signal processing algorithms necessary for tomographic imaging. In addition to the purely mathematical and algorithmic aspects of these algorithms, the book also discusses the artifacts caused by the nature of the various forms of energy sources that can be used for generating the projection data. Since the fundamental aspects of tomographic reconstruction algorithms have remained virtually the same since this book was originally published, it is just as useful today as it was in 1987. It explains, among other things, what happens when there is excessive noise in the projection data; when images are formed from insufficient projection data; and when refracting or diffracting energy sources are used for imaging. Audience: beginning graduate students or practitioners wishing to see the development of the algorithm from the ground up, as well as anyone interested in cross-sectional imaging for a wide variety of applications. |
| introduction to the mathematics of medical imaging: Mathematics and Computation in Imaging Science and Information Processing Say Song Goh, Amos Ron, Zuowei Shen, 2007 The explosion of data arising from rapid advances in communication, sensing and computational power has concentrated research effort on more advanced techniques for the representation, processing, analysis and interpretation of data sets. In view of these exciting developments, the program OC Mathematics and Computation in Imaging Science and Information ProcessingOCO was held at the Institute for Mathematical Sciences, National University of Singapore, from July to December 2003 and in August 2004 to promote and facilitate multidisciplinary research in the area. As part of the program, a series of tutorial lectures were conducted by international experts on a wide variety of topics in mathematical image, signal and information processing. This compiled volume contains survey articles by the tutorial speakers, all specialists in their respective areas. They collectively provide graduate students and researchers new to the field a unique and valuable introduction to a range of important topics at the frontiers of current research. Sample Chapter(s). Foreword (46 KB). Chapter 1: Subdivision on Arbitrary Meshes: Algorithms and Theory (771 KB). Contents: Subdivision on Arbitrary Meshes: Algorithms and Theory (D Zorin); High Order Numerical Methods for Time Dependent Hamilton-Jacobi Equations (C-W Shu); Theory and Computation of Variational Image Deblurring (T F Chan & J Shen); Data Hiding OCo Theory and Algorithms (P Moulin & R Koetter); Image Steganography and Steganalysis: Concepts and Practice (M Kharrazi et al.); The Apriori Algorithm OCo A Tutorial (M Hegland). Readership: Graduate students and researchers in mathematical image, signal and information processing. |
| introduction to the mathematics of medical imaging: The Mathematics of Computerized Tomography Frank Natterer, 2001-06-01 This book provides a unified view of tomographic techniques and an in-depth treatment of reconstruction algorithms. |
| introduction to the mathematics of medical imaging: Machine Learning and Medical Imaging Guorong Wu, Dinggang Shen, Mert Sabuncu, 2016-08-11 Machine Learning and Medical Imaging presents state-of- the-art machine learning methods in medical image analysis. It first summarizes cutting-edge machine learning algorithms in medical imaging, including not only classical probabilistic modeling and learning methods, but also recent breakthroughs in deep learning, sparse representation/coding, and big data hashing. In the second part leading research groups around the world present a wide spectrum of machine learning methods with application to different medical imaging modalities, clinical domains, and organs. The biomedical imaging modalities include ultrasound, magnetic resonance imaging (MRI), computed tomography (CT), histology, and microscopy images. The targeted organs span the lung, liver, brain, and prostate, while there is also a treatment of examining genetic associations. Machine Learning and Medical Imaging is an ideal reference for medical imaging researchers, industry scientists and engineers, advanced undergraduate and graduate students, and clinicians. - Demonstrates the application of cutting-edge machine learning techniques to medical imaging problems - Covers an array of medical imaging applications including computer assisted diagnosis, image guided radiation therapy, landmark detection, imaging genomics, and brain connectomics - Features self-contained chapters with a thorough literature review - Assesses the development of future machine learning techniques and the further application of existing techniques |
| introduction to the mathematics of medical imaging: Fundamentals of Digital Imaging in Medicine Roger Bourne, 2010-01-18 In general, image processing texts are intended for students of engineering and computer science, and there is little written at all on the specific requirements of medical image processing. Students of medical radiation science (Diagnostic radiography, Nuclear medicine, Radiation therapy) usually have minimal mathematical and computer science training and find the available texts incomprehensible. A text that explains the principles of image processing in minimally-mathematical language is needed for these students. Contrary to the claims of some textbook authors, the vast majority of technologists that process images do not need to understand the mathematics involved, but would nevertheless benefit from a thorough understanding of the general process. |
| introduction to the mathematics of medical imaging: Medical Imaging Signals and Systems Prince, 2008-09 |
| introduction to the mathematics of medical imaging: The Physics of Medical Imaging S. Webb, 1988-01-01 The Physics of Medical Imaging reviews the scientific basis and physical principles underpinning imaging in medicine. It covers the major imaging methods of x-radiology, nuclear medicine, ultrasound, and nuclear magnetic resonance, and considers promising new techniques. Following these reviews are several thematic chapters that cover the mathematics of medical imaging, image perception, computational requirements, and techniques. Throughout the book, the author encourages readers to consider key questions concerning imaging. This profusely illustrated and extensively indexed text is accessible to graduate physical scientists, advanced undergraduates, and research students. It logically complements books on applications of imaging techniques in medicine, making it useful for clinicians as well. |
| introduction to the mathematics of medical imaging: Biomedical Image Processing Thomas Martin Deserno, 2011-03-01 In modern medicine, imaging is the most effective tool for diagnostics, treatment planning and therapy. Almost all modalities have went to directly digital acquisition techniques and processing of this image data have become an important option for health care in future. This book is written by a team of internationally recognized experts from all over the world. It provides a brief but complete overview on medical image processing and analysis highlighting recent advances that have been made in academics. Color figures are used extensively to illustrate the methods and help the reader to understand the complex topics. |
| introduction to the mathematics of medical imaging: Mathematical Foundations of Imaging, Tomography and Wavefield Inversion Anthony J. Devaney, 2012-06-21 A systematic presentation of the foundations of imaging and wavefield inversion that bridges the gap between mathematics and physics. |
| introduction to the mathematics of medical imaging: Introduction to Functional Analysis Christian Clason, 2020-11-30 Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence. |
| introduction to the mathematics of medical imaging: Numerical Methods for Image Registration Jan Modersitzki, 2004 This text provides an introduction to image registration with particular emphasis on numerical methods in medical imaging. Designed for researchers in industry and academia, it should also be a suitable study guide for graduate mathematicians, computer scientists and medical physicists. |
| introduction to the mathematics of medical imaging: Mathematical Methods in Image Reconstruction Frank Natterer, Frank Wuebbeling, 2001-01-01 This book provides readers with a superior understanding of the mathematical principles behind imaging. |
| introduction to the mathematics of medical imaging: Computational Radiology and Imaging Christoph Börgers, Frank Natterer, 2012-12-06 The articles collected in this volume are based on lectures given at the IMA Workshop, Computational Radiology and Imaging: Therapy and Diagnostics, March 17-21, 1997. Introductory articles by the editors have been added. The focus is on inverse problems involving electromagnetic radiation and particle beams, with applications to X-ray tomography, nuclear medicine, near-infrared imaging, microwave imaging, electron microscopy, and radiation therapy planning. Mathematical and computational tools and models which play important roles in this volume include the X-ray transform and other integral transforms, the linear Boltzmann equation and, for near-infrared imaging, its diffusion approximation, iterative methods for large linear and non-linear least-squares problems, iterative methods for linear feasibility problems, and optimization methods. The volume is intended not only for mathematical scientists and engineers working on these and related problems, but also for non-specialists. It contains much introductory expository material, and a large number of references. Many unsolved computational and mathematical problems of substantial practical importance are pointed out. |
| introduction to the mathematics of medical imaging: Medical Imaging Anthony B. Wolbarst, Patrizio Capasso, Andrew R. Wyant, 2013-04-02 An excellent primer on medical imaging for all members of the medical profession . . . including non-radiological specialists. It is technically solid and filled with diagrams and clinical images illustrating important points, but it is also easily readable . . . So many outstanding chapters . . . The book uses little mathematics beyond simple algebra [and] presents complex ideas in very understandable terms. —Melvin E. Clouse, MD, Vice Chairman Emeritus, Department of Radiology, Beth Israel Deaconess Medical Center and Deaconess Professor of Radiology, Harvard Medical School A well-known medical physicist and author, an interventional radiologist, and an emergency room physician with no special training in radiology have collaborated to write, in the language familiar to physicians, an introduction to the technology and clinical applications of medical imaging. It is intentionally brief and not overly detailed, intended to help clinicians with very little free time rapidly gain enough command of the critically important imaging tools of their trade to be able to discuss them confidently with medical and technical colleagues; to explain the general ideas accurately to students, nurses, and technologists; and to describe them effectively to concerned patients and loved ones. Chapter coverage includes: Introduction: Dr. Doe's Headaches Sketches of the Standard Imaging Modalities Image Quality and Dose Creating Subject Contrast in the Primary X-Ray Image Twentieth-Century (Analog) Radiography and Fluoroscopy Radiation Dose and Radiogenic Cancer Risk Twenty-First-Century (Digital) Imaging Digital Planar Imaging Computed Tomography Nuclear Medicine (Including SPECT and PET) Diagnostic Ultrasound (Including Doppler) MRI in One Dimension and with No Relaxation Mapping T1 and T2 Proton Spin Relaxation in 3D Evolving and Experimental Modalities |
| introduction to the mathematics of medical imaging: Digital Image Processing for Medical Applications Geoff Dougherty, 2009-04-09 Image processing is a hands-on discipline, and the best way to learn is by doing. This text takes its motivation from medical applications and uses real medical images and situations to illustrate and clarify concepts and to build intuition, insight and understanding. Designed for advanced undergraduates and graduate students who will become end-users of digital image processing, it covers the basics of the major clinical imaging modalities, explaining how the images are produced and acquired. It then presents the standard image processing operations, focusing on practical issues and problem solving. Crucially, the book explains when and why particular operations are done, and practical computer-based activities show how these operations affect real images. All images, links to the public-domain software ImageJ and custom plug-ins, and selected solutions are available from www.cambridge.org/books/dougherty. |
| introduction to the mathematics of medical imaging: Introduction to Diffusion Tensor Imaging Susumu Mori, J-Donald Tournier, 2013-08-02 The concepts behind diffusion tensor imaging (DTI) are commonly difficult to grasp, even for magnetic resonance physicists. To make matters worse, a many more complex higher-order methods have been proposed over the last few years to overcome the now well-known deficiencies of DTI. In Introduction to Diffusion Tensor Imaging: And Higher Order Models, these concepts are explained through extensive use of illustrations rather than equations to help readers gain a more intuitive understanding of the inner workings of these techniques. Emphasis is placed on the interpretation of DTI images and tractography results, the design of experiments, and the types of application studies that can be undertaken. Diffusion MRI is a very active field of research, and theories and techniques are constantly evolving. To make sense of this constantly shifting landscape, there is a need for a textbook that explains the concepts behind how these techniques work in a way that is easy and intuitive to understand—Introduction to Diffusion Tensor Imaging fills this gap. - Extensive use of illustrations to explain the concepts of diffusion tensor imaging and related methods - Easy to understand, even without a background in physics - Includes sections on image interpretation, experimental design, and applications - Up-to-date information on more recent higher-order models, which are increasingly being used for clinical applications |
| introduction to the mathematics of medical imaging: Medical Imaging for Health Professionals Raymond M. Reilly, 2019-01-22 Describes the most common imaging technologies and their diagnostic applications so that pharmacists and other health professionals, as well as imaging researchers, can understand and interpret medical imaging science This book guides pharmacists and other health professionals and researchers to understand and interpret medical imaging. Divided into two sections, it covers both fundamental principles and clinical applications. It describes the most common imaging technologies and their use to diagnose diseases. In addition, the authors introduce the emerging role of molecular imaging including PET in the diagnosis of cancer and to assess the effectiveness of cancer treatments. The book features many illustrations and discusses many patient case examples. Medical Imaging for Health Professionals: Technologies and Clinical Applications offers in-depth chapters explaining the basic principles of: X-Ray, CT, and Mammography Technology; Nuclear Medicine Imaging Technology; Radionuclide Production and Radiopharmaceuticals; Magnetic Resonance Imaging (MRI) Technology; and Ultrasound Imaging Technology. It also provides chapters written by expert radiologists in well-explained terminology discussing clinical applications including: Cardiac Imaging; Lung Imaging; Breast Imaging; Endocrine Gland Imaging; Abdominal Imaging; Genitourinary Tract Imaging; Imaging of the Head, Neck, Spine and Brain; Musculoskeletal Imaging; and Molecular Imaging with Positron Emission Tomography (PET). Teaches pharmacists, health professionals, and researchers the basics of medical imaging technology Introduces all of the customary imaging tools—X-ray, CT, ultrasound, MRI, SPECT, and PET—and describes their diagnostic applications Explains how molecular imaging aids in cancer diagnosis and in assessing the effectiveness of cancer treatments Includes many case examples of imaging applications for diagnosing common diseases Medical Imaging for Health Professionals: Technologies and Clinical Applications is an important resource for pharmacists, nurses, physiotherapists, respiratory therapists, occupational therapists, radiological or nuclear medicine technologists, health physicists, radiotherapists, as well as researchers in the imaging field. |
| introduction to the mathematics of medical imaging: The Transparent Body Jose Van Dijck, 2011-05-01 From the potent properties of X rays evoked in Thomas Mann's Magic Mountain to the miniaturized surgical team of the classic science fiction film Fantastic Voyage, the possibility of peering into the inner reaches of the body has engaged the twentieth-century popular and scientific imagination. Drawing on examples that are international in scope, The Transparent Body examines the dissemination of medical images to a popular audience, advancing the argument that medical imaging technologies are the material embodiment of collective desires and fantasies--the most pervasive of which is the ideal of transparency itself. The Transparent Body traces the cultural context and wider social impact of such medical imaging practices as X ray and endoscopy, ultrasound imaging of fetuses, the filming and broadcasting of surgical operations, the creation of plastinated corpses for display as art objects, and the use of digitized cadavers in anatomical study. In the early twenty-first century, the interior of the body has become a pervasive cultural presence - as accessible to the public eye as to the physician's gaze. Jose van Dijck explores the multifaceted interactions between medical images and cultural ideologies that have brought about this situation. The Transparent Body unfolds the complexities involved in medical images and their making, illuminating their uses and meanings both within and outside of medicine. Van Dijck demonstrates the ways in which the ability to render the inner regions of the human body visible - and the proliferation of images of the body's interior in popular media - affect our view of corporeality and our understanding of health and disease. Written in an engaging style that brings thought-provoking cultural intersections vividly to life, The Transparent Body will be of special interest to those in media studies, cultural studies, science and technology studies, medical humanities, and the history of medicine. |
| introduction to the mathematics of medical imaging: Computed Tomography Thorsten M. Buzug, 2008-05-20 This volume provides an overview of X-ray technology and the historical development of modern CT systems. The main focus of the book is a detailed derivation of reconstruction algorithms in 2D and modern 3D cone-beam systems. A thorough analysis of CT artifacts and a discussion of practical issues such as dose considerations give further insight into current CT systems. Although written mainly for graduate students, practitioners will also benefit from this book. |
| introduction to the mathematics of medical imaging: Computed Radiation Imaging Esam M A Hussein, 2011-06-01 Computer-assisted imaging with radiation (x- and gamma rays) is an integral part of modern medical-diagnostic practice. This imaging technology is also slowly finding its way into industrial applications. Although the technology is well developed, there is a need for further improvement to enhance image quality, reduce artifacts, minimize patient radiation exposure, compete with and complement other imaging methods (such as magnetic resonance imaging and ultrasonics), and accommodate dense and large objects encountered in industrial applications.Scientists and engineers, attempting to progress this technology, are faced with an enormous amount of literature, addressing the imaging problem from various view points. This book provides a single source that addresses both the physical and mathematical aspects of the imaging problem in a consistent and comprehensive manner. - Discusses the inherent physical and numerical capabilities and limitations of the methods presented for both the forward and inverse problems - Provides information on available Internet resources and software - Written in a manner that makes it readable by physicists, mathematicians, engineers and computer scientists – avoids, as much as possible, the use of specialized terminology without clear introduction and definition |
| introduction to the mathematics of medical imaging: MRI from Picture to Proton Donald W. McRobbie, 2003 Presents the basics of MR practice and theory as the practitioner first meets them. |
| introduction to the mathematics of medical imaging: Applied Medical Image Processing Wolfgang Birkfellner, 2016-04-19 A widely used, classroom-tested text, Applied Medical Image Processing: A Basic Course delivers an ideal introduction to image processing in medicine, emphasizing the clinical relevance and special requirements of the field. Avoiding excessive mathematical formalisms, the book presents key principles by implementing algorithms from scratch and usin |
| introduction to the mathematics of medical imaging: The Science of Imaging Graham Saxby, 2016-04-19 Edited and expanded to keep pace with the digital revolution, the new edition of this highly popular and critically acclaimed work provides a comprehensive exploration of imaging science. Brilliantly written and extensively illustrated, The Science of Imaging: An Introduction, Second Edition covers the fundamental laws of physics as well as the cut |
| introduction to the mathematics of medical imaging: Essential Medical Imaging Robert N. Gibson, 2008-12-18 Essential Medical Imaging is a concise introductory text covering the clinical role of radiology in adult and paediatric medicine and surgery. The emphasis is on placing radiology in a clinical context and guiding the reader to apply imaging modalities to specific clinical problems. An introductory section outlines the principles of image generation and image interpretation, as well as risks, benefits and costs. Subsequent sections review key clinical considerations and illustrate important radiology findings for each common clinical condition and patient population. A library of annotated normal radiological images and a terminology and abbreviations section are also included. A companion CD containing more detailed text and an extensive collection of clinical images accompanies the text. Highly visual and practical, Essential Medical Imaging is an invaluable resource for medical students, trainees in radiology, medicine & surgery, and for radiographers and all allied health professionals. |
| introduction to the mathematics of medical imaging: Inverse Imaging with Poisson Data Mario Bertero, Patrizia Boccacci, Valeria Ruggiero, 2018 Inverse Imaging with Poisson Data is an invaluable resource for graduate students, postdocs and researchers interested in the application of inverse problems to the domains of applied sciences, such as microscopy, medical imaging and astronomy. |
| introduction to the mathematics of medical imaging: Carvers' Medical Imaging Elizabeth Carver, Barry Carver, Karen Knapp, 2021-08-11 |
INTRODUCTION Definition & Meaning - Merriam-Webster
The meaning of INTRODUCTION is something that introduces. How to use introduction in a sentence.
How to Write an Introduction, With Examples | Grammarly
Oct 20, 2022 · An introduction should include three things: a hook to interest the reader, some background on the topic so the reader can understand it, and a thesis statement that clearly …
INTRODUCTION | English meaning - Cambridge Dictionary
INTRODUCTION definition: 1. an occasion when something is put into use or brought to a place for the first time: 2. the act…. Learn more.
What Is an Introduction? Definition & 25+ Examples - Enlightio
Nov 5, 2023 · An introduction is the initial section of a piece of writing, speech, or presentation wherein the author presents the topic and purpose of the material. It serves as a gateway for …
Introduction - definition of introduction by The Free Dictionary
Something spoken, written, or otherwise presented in beginning or introducing something, especially: a. A preface, as to a book. b. Music A short preliminary passage in a larger …
INTRODUCTION Definition & Meaning - Merriam-Webster
The meaning of INTRODUCTION is something that introduces. How to use introduction in a sentence.
How to Write an Introduction, With Examples …
Oct 20, 2022 · An introduction should include three things: a hook to interest the reader, some background on the topic so the reader can understand …
INTRODUCTION | English meaning - Cambridge Diction…
INTRODUCTION definition: 1. an occasion when something is put into use or brought to a place for the …
What Is an Introduction? Definition & 25+ Examples - E…
Nov 5, 2023 · An introduction is the initial section of a piece of writing, speech, or presentation wherein the author presents the topic and …
Introduction - definition of introduction by The Free Dict…
Something spoken, written, or otherwise presented in beginning or introducing something, especially: a. A preface, as to a book. b. Music A …
