Med Physics / BME 573 Medical Image Science: Mathematical and Conceptual Foundations

Instructor: Diego Hernando, PhD
Offered: Fall Semester
New name starting in 2023: Mathematical Methods in Medical Physics

This course covers mathematical fundamentals required for medical physics. The first half of the course covers fundamentals of signal analysis with an emphasis on Fourier transforms in one and multiple dimensions. The second half introduces mathematical optimization, with applications in medical imaging and therapy. This is a hands-on course with a combination of theoretical foundations (on the white board) and computational exercises (using a language such as Python or Matlab) on real and simulated datasets. Mathematical concepts are presented in the context of real-world clinical and research challenges.

Below I share the course materials, including lecture notes, Jupiter notebooks, and mybinder links to directly run these notebooks (thank you for the tip, Kristy Wendt!).

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Part I: Multidimensional Signal Analysis

Part II: Introduction to Optimization in Imaging and Therapy