Authors:
- First book about emerging techniques such as multi-scales and multi-physics approaches
- Moreover, most recent mathematical and numerical results are described in readable and informative manner
- Contains also recent results on time-reversal, electrical impedance tomography, and brain imaging
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathématiques et Applications (MATHAPPLIC, volume 62)
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Table of contents (11 chapters)
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Front Matter
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Mathematical Tools
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General Reconstruction Algorithms
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Anomaly Detection Algorithms
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Hybrid Imaging Techniques
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Back Matter
About this book
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.
Reviews
From the reviews:
“This book consists of an introductive chapter, four parts, a bibliography, and an index. … The book may be useful for non-specialists … . Students may use this book … .” (Alexander G. Ramm, Zentralblatt MATH, Vol. 1181, 2010)
“This monograph presents an overview of medical imaging techniques based on many different modalities (X-rays, magnetic fields, ultrasound, microwaves, elasticity and others). The treatment is fairly concise … . The book can be used as a basis of a graduate course, or read as a survey of cutting-edge research in biomedical imaging.” (Fritz Keinert, Mathematical Reviews, Issue 2010 j)
Authors and Affiliations
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Centre de Mathématiques Appliquées, École Polytechnique, 91128, France
Habib Ammari
About the author
Habib Ammari (born in June 1969) received the B.S., M.S., and Ph.D. degrees in mathematics from École Polytechnique Palaiseau in 1992, 1993, and 1995, respectively, and the Habilitation Degree from Université Pierre et Marie Curie (Paris 6), in 1999. He is currently Director of Research at the French Center of Scientific Research (CNRS). His current research interests include biomedical imaging, electrical impedance tomography, inverse problems, and electromagnetic modelling. He has contributed over 100 peer-reviewed articles and book chapters, authored four books and edited three others. He is serving as an editor of several mathematical journals. Habib Ammari has been invited to more than 30 international conferences. He produced 10 Ph.D. students and served as adviser for 10 post-docs.
Bibliographic Information
Book Title: An Introduction to Mathematics of Emerging Biomedical Imaging
Authors: Habib Ammari
Series Title: Mathématiques et Applications
DOI: https://doi.org/10.1007/978-3-540-79553-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-79552-0Published: 06 June 2008
eBook ISBN: 978-3-540-79553-7Published: 21 May 2008
Series ISSN: 1154-483X
Series E-ISSN: 2198-3275
Edition Number: 1
Number of Pages: X, 198
Number of Illustrations: 16 b/w illustrations
Topics: Internal Medicine, Mathematical and Computational Biology, Potential Theory, Partial Differential Equations, Ordinary Differential Equations