An Introduction to Mathematics of Emerging Biomedical Imaging by Habib AmmariAn Introduction to Mathematics of Emerging Biomedical Imaging by Habib Ammari

An Introduction to Mathematics of Emerging Biomedical Imaging

byHabib Ammari

Paperback | June 6, 2008

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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.

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...
Title:An Introduction to Mathematics of Emerging Biomedical ImagingFormat:PaperbackDimensions:198 pagesPublished:June 6, 2008Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540795529

ISBN - 13:9783540795520


Table of Contents

Mathematical Tools.- Biomedical Imaging Modalities.- Preliminaries.- Layer Potential Techniques.- General Reconstruction Algorithms.- Tomographic Imaging with Non-Diffracting Sources.- Tomographic Imaging with Diffracting Sources.- Biomagnetic Source Imaging.- Anomaly Detection Algorithms.- Small Volume Expansions.- Imaging Techniques.- Hybrid Imaging Techniques.- Magnetic Resonance Electrical Impedance Tomography.- Impediography.- Magnetic Resonance Elastography.

Editorial 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)