Multi Wave Medical Imaging Mathematical Modelling And Imaging Reconstruction
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| Author | : Hyeonbae Kang |
| Publisher | : World Scientific |
| Total Pages | : 687 |
| Release | : 2017-03-03 |
| Genre | : Medical |
| ISBN | : 178634226X |
Super-Resolution imaging refers to modern techniques of achieving resolution below conventional limits. This book gives a comprehensive overview of mathematical and computational techniques used to achieve this, providing a solid foundation on which to develop the knowledge and skills needed for practical application of techniques. Split into five parts, the first looks at the mathematical and probabilistic tools needed, before moving on to description of different types of imaging; single-wave, anomaly, multi-wave and spectroscopic and nanoparticle.As an important contribution to the understanding of super-resolution techniques in biomedical imaging, this book is a useful resource for scientists and engineers in the fields of biomedical imaging and super-resolution, and is self-contained reference for any newcomers to these fields.
| Author | : Habib Ammari |
| Publisher | : Wspc (Europe) |
| Total Pages | : 666 |
| Release | : 2017 |
| Genre | : Medical |
| ISBN | : 9781786342249 |
Super-Resolution imaging refers to modern techniques of achieving resolution below conventional limits. This book gives a comprehensive overview of mathematical and computational techniques used to achieve this, providing a solid foundation on which to develop the knowledge and skills needed for practical application of techniques. Split into five parts, the first looks at the mathematical and probabilistic tools needed, before moving on to description of different types of imaging; single-wave, anomaly, multi-wave and spectroscopic and nanoparticle. As an important contribution to the understanding of super-resolution techniques in biomedical imaging, this book is a useful resource for scientists and engineers in the fields of biomedical imaging and super-resolution, and is self-contained reference for any newcomers to these fields.
| Author | : Charles L. Epstein |
| Publisher | : SIAM |
| Total Pages | : 794 |
| Release | : 2008-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898717792 |
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.
| Author | : Otmar Scherzer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 1626 |
| Release | : 2010-11-23 |
| Genre | : Mathematics |
| ISBN | : 0387929193 |
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.
| Author | : Andreas Maier |
| Publisher | : Springer |
| Total Pages | : 263 |
| Release | : 2018-08-02 |
| Genre | : Computers |
| ISBN | : 3319965204 |
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 | : Pammy Manchanda |
| Publisher | : Springer Nature |
| Total Pages | : 431 |
| Release | : 2020-02-04 |
| Genre | : Mathematics |
| ISBN | : 981150928X |
This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru Nanak Dev University, Amritsar, India, on 2–4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy problem associated with Korteweg–de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers in the fields of industrial and applied mathematics.
| Author | : Vladimir Voevodin |
| Publisher | : Springer |
| Total Pages | : 714 |
| Release | : 2018-12-31 |
| Genre | : Computers |
| ISBN | : 3030058077 |
This book constitutes the refereed proceedings of the 4th Russian Supercomputing Days, RuSCDays 2018, held in Moscow, Russia, in September 2018. The 59 revised full papers and one revised short paper presented were carefully reviewed and selected from 136 submissions. The papers are organized in topical sections on parallel algorithms; supercomputer simulation; high performance architectures, tools and technologies.
| Author | : Habib Ammari |
| Publisher | : Springer |
| Total Pages | : 244 |
| Release | : 2009-09-18 |
| Genre | : Mathematics |
| ISBN | : 3642034446 |
This volume details promising analytical and numerical techniques for solving challenging biomedical imaging problems, which trigger the investigation of interesting issues in various branches of mathematics.
| Author | : M S Beck |
| Publisher | : Butterworth-Heinemann |
| Total Pages | : 609 |
| Release | : 2012-12-02 |
| Genre | : Computers |
| ISBN | : 0080938019 |
Written by international experts in this field, the book describes the principles of, and presents case studies for, the wide range of tomographic imaging techniques that can be used in the process industries. It includes sufficient introductory materialto this multi-disciplinary subject in order that readers from a variety of backgrounds will be able to fully understand the fundamental principles and features of the sensors and image reconstruction techniques needed for process tomography.
| Author | : Jin Keun Seo |
| Publisher | : World Scientific |
| Total Pages | : 294 |
| Release | : 2014-03-19 |
| Genre | : Medical |
| ISBN | : 1783263415 |
This is the first book that presents a comprehensive introduction to and overview of electro-magnetic tissue property imaging techniques using MRI, focusing on Magnetic Resonance Electrical Impedance Tomography (MREIT), Electrical Properties Tomography (EPT) and Quantitative Susceptibility Mapping (QSM). The contrast information from these novel imaging modalities is unique since there is currently no other method to reconstruct high-resolution images of the electro-magnetic tissue properties including electrical conductivity, permittivity, and magnetic susceptibility. These three imaging modalities are based on Maxwell's equations and MRI data acquisition techniques. They are expanding MRI's ability to provide new contrast information on tissue structures and functions.To facilitate further technical progress, the book provides in-depth descriptions of the most updated research outcomes, including underlying physics, mathematical theories and models, measurement techniques, computation issues, and other challenging problems.
