An Introduction to Mathematics of Emerging Biomedical Imaging: 62 2008th Edition

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)

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.