E-Book Overview
Since the advent of computerized tomography in radiology, many imaging techniques have been introduced in medicine, science, and technology. This book describes the state of the art of the mathematical theory and numerical analysis of imaging. The authors survey and provide a unified view of imaging techniques, provide the necessary mathematical background and common framework, and give a detailed analysis of the numerical algorithms. This book not only reflects the theoretical progress and the growth of the field in the last 10 years but also serves as an excellent reference. It will provide readers with a superior understanding of the mathematical principles behind imaging and will enable them to write state-of-the-art software as a result. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.
E-Book Content
Mathematical Methods in Image Reconstruction S1AM Monographs on Mathematical Modeling and Computation Editor-in-Chief Joseph E. Flaherty Rensselaer Polytechnic Institute About the Series Editorial Board In 1997, SIAM began a new series on mathematical modeling and computation. Books in the series develop a focused topic from its genesis to the current state of the art; these books Ivo Babuska University of Texas at Austin • present modern mathematical developments with direct applications in science and engineering; • describe mathematical issues arising in modern applications; • develop mathematical models of topical physical, chemical, or biological systems; • present new and efficient computational tools and techniques that have direct applications in science and engineering; and • illustrate th