Introduction to the Mathematics of Medical Imaging

Introduction to the Mathematics of Medical Imaging, Second Edition, Volume 1, provides a comprehensive foundation in the mathematical tools required for modern diagnostic imaging. This academic text focuses on the measurement processes and reconstruction algorithms used across various imaging modalities. By utilizing X-ray computed tomography as a primary pedagogical tool, the book explains complex concepts in Fourier analysis, sampling theory, and integral equations.

This medical physics and mathematics resource is designed for advanced undergraduate and beginning graduate students. The second edition introduces new material on magnetic resonance imaging, noise analysis, and the gridding method. Through theoretical models and over 200 illustrations, the text bridges the gap between basic calculus and linear algebra and the sophisticated mathematics of imaging systems in medicine.