An Introduction to Mathematics of Emerging Biomedical Imaging

  • Habib Ammari

Part of the MathéMatiques & Applications book series (MATHAPPLIC, volume 62)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Mathematical Tools

  3. General Reconstruction Algorithms

  4. Anomaly Detection Algorithms

    1. Pages 127-149
    2. Pages 151-166
  5. Hybrid Imaging Techniques

  6. Back Matter
    Pages 189-198

About this book

Introduction

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.

Keywords

algorithms anomaly detection biomedical imaging image reconstruction inverse problems linear optimization reconstruction algorithms

Authors and affiliations

  • Habib Ammari
    • 1
  1. 1.Centre de Mathématiques AppliquéesÉcole Polytechnique91128France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-79553-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-79552-0
  • Online ISBN 978-3-540-79553-7
  • Series Print ISSN 1154-483X
  • About this book
Industry Sectors
Biotechnology
Pharma