An Introduction to Mathematics of Emerging Biomedical Imaging

• Main Author: Ammari, Habib (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: MathéMatiques & Applications, 62
• Subjects: Medicine.; Internal medicine.; Differential equations.; Partial differential equations.; Potential theory (Mathematics).; Biomathematics.; Medicine & Public Health.; Internal Medicine.; Mathematical and Computational Biology.; Potential Theory.; Partial Differential Equations.; Ordinary Differential Equations.

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 emergi...

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.