About the course/Course objectives: In this course we will provide mathematical foundations used to derive reconstruction algorithms used in most medical imaging modalities including computed tomography (CT) and magnetic resonance imaging (MRI). We will see the details during the course planning.
Text books:
[1]. Feeman, Timothy G. The mathematics of medical imaging. Springer, (2010).
[2]. Epstein, Charles L., ed. Introduction to the mathematics of medical imaging. Society for Industrial and Applied Mathematics, (2007).
Course outline: (Still subject to change, and specifics still to be added)
1. Introduction: Mathematical model for attenuation function (Beer's Law), formulate the basic CT reconstruction problem.
2. Radon transform: Line in the plane, definition and basic properties.
3. Back projection: Definition and basic properties.
Lecture Notes: Coming Soon
Grading: Grades will be based on homework assignments, counting 30% towards the final grade, on two midterm exams counting 40% towards the final grade, and one final project counting 30%.