Mathematics of X-ray Imaging

Catalog description

ln this course we introduce the mathematical techniques used to model measurements and reconstruct images. As a simple representative case we study transmission X-ray tomography (CT).I n this context we will cover the basic principles of mathematical analysis, the Fourier transform¿Interpolation and approximation of functions, sampling theory, digital filtering and noise analysis. Since imaging is done with computers, there will be a programming part to each homework assignment in Mathematica to complement theoretical ideas with numerical implementation. Prerequisite Course(s): Prerequisites: MATH 260, MATH 310, MATH 320 Classroom Hours - Laboratory and/or Studio Hours – Course Credits: 3-0-3