Medical Image Science: Mathematical and Conceptual Foundations

(Medical Physics/Biomedical Engineering 573)

Instructor: Diego Hernando, PhD
Offered: Fall Semester

This course covers the mathematical fundamentals required for medical imaging science. 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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Materials for the first half of Med Physics/BME 573 (Signal analysis)