Publisher's Synopsis
Since the advent of computerized tomography in radiology, many imaging techniques have been introduced in medicine, science, and technology. This book describes state-of-the-art mathematical theory and numerical analysis in 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, both two-dimensional and three-dimensional. For three-dimensional algorithms, the authors derive exact and approximate inversion formulas for specific imaging devices and describe their algorithmic implementation. Integral geometry is surveyed in terms of imaging purposes; imaging techniques based on or related to integral geometry are briefly described in the tomography section. This book not only reflects the theoretical progress and the growth of the field but also serves as an excellent reference. Readers will have a superior understanding of the mathematical principles behind imaging and be enabled to write up-to-date software as a result.
