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Mathematical Modeling In Biomedical Imaging

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Mathematical Modeling In Biomedical Imaging I

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Author : Habib Ammari
language : en
Publisher: Springer
Release Date : 2009-09-18

Mathematical Modeling In Biomedical Imaging I written by Habib Ammari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-18 with Mathematics categories.

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.

Mathematical Modeling In Biomedical Imaging I

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Author : Habib Ammari
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-21

Mathematical Modeling In Biomedical Imaging I written by Habib Ammari and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-21 with Mathematics categories.

This volume gives an introduction to a fascinating research area to applied mathematicians. It is devoted to providing the exposition of promising analytical and numerical techniques for solving challenging biomedical imaging problems, which trigger the investigation of interesting issues in various branches of mathematics.

Mathematical Modeling In Biomedical Imaging Ii

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Author : Habib Ammari
language : en
Publisher: Springer
Release Date : 2011-09-15

Mathematical Modeling In Biomedical Imaging Ii written by Habib Ammari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-15 with Mathematics categories.

This volume reports on recent mathematical and computational advances in optical, ultrasound, and opto-acoustic tomographies. It outlines the state-of-the-art and future directions in these fields and provides readers with the most recently developed mathematical and computational tools. It is particularly suitable for researchers and graduate students in applied mathematics and biomedical engineering.

Mathematical Modeling In Biomedical Imaging I

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Author : Habib Ammari
language : en
Publisher: Springer
Release Date : 2009-10-21

Introduction To The Mathematics Of Medical Imaging

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Author : Charles L. Epstein
language : en
Publisher: SIAM
Release Date : 2008-01-01

Introduction To The Mathematics Of Medical Imaging written by Charles L. Epstein and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.

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 Modeling In Biomedical Imaging I

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Author : Habib Ammari
language : en
Publisher: Springer
Release Date : 2010-04-29

An Introduction To Mathematics Of Emerging Biomedical Imaging

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Author : Habib Ammari
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-21

An Introduction To Mathematics Of Emerging Biomedical Imaging written by Habib Ammari and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-21 with Medical categories.

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.

Mathematical Modeling In Biomedical Imaging I

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Author : Habib Ammari
language : en
Publisher:
Release Date : 2009

Mathematical Modeling In Biomedical Imaging I written by Habib Ammari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Biomedical engineering categories.

Mathematical Models For Registration And Applications To Medical Imaging

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Author : Otmar Scherzer
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-03

Mathematical Models For Registration And Applications To Medical Imaging written by Otmar Scherzer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-03 with Mathematics categories.

Image registration is an emerging topic in image processing with many applications in medical imaging, picture and movie processing. The classical problem of image registration is concerned with ?nding an appropriate transformation between two data sets. This fuzzy de?nition of registration requires a mathematical modeling and in particular a mathematical speci?cation of the terms appropriate transformations and correlation between data sets. Depending on the type of application, typically Euler, rigid, plastic, elastic deformations are considered. The variety of similarity p measures ranges from a simpleL distance between the pixel values of the data to mutual information or entropy distances. This goal of this book is to highlight by some experts in industry and medicine relevant and emerging image registration applications and to show new emerging mathematical technologies in these areas. Currently, many registration application are solved based on variational prin- ple requiring sophisticated analysis, such as calculus of variations and the theory of partial differential equations, to name but a few. Due to the numerical compl- ity of registration problems ef?cient numerical realization are required. Concepts like multi-level solver for partial differential equations, non-convex optimization, and so on play an important role. Mathematical and numerical issues in the area of registration are discussed by some of the experts in this volume. Moreover, the importance of registration for industry and medical imaging is discussed from a medical doctor and from a manufacturer point of view.

Multi Wave Medical Imaging Mathematical Modelling And Imaging Reconstruction

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Author : Hyeonbae Kang
language : en
Publisher: World Scientific
Release Date : 2017-03-03

Multi Wave Medical Imaging Mathematical Modelling And Imaging Reconstruction written by Hyeonbae Kang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-03 with Medical categories.

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.

Mathematical Modeling In Biomedical Imaging

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