Topics in Mathematical Data Science

Graduate course on the foundations of computational imaging.

Course Information

Instructor: Ulugbek S. Kamilov
Institution: University of Wisconsin–Madison
Term: Fall 2026

Course Description

Computational imaging studies how computation and mathematical modeling can be used to form images from indirect, incomplete, or noisy measurements. This course introduces the mathematical and computational foundations of modern computational imaging, with an emphasis on inverse problems and reconstruction algorithms.

Lecture Topics

  1. Intro to Computational Imaging
  2. Images as Functions and Vectors
  3. Image Restoration (Denoising and Inpainting)
  4. Image Restoration (Deblurring and Super-resolution)
  5. Image Reconstruction (CT)
  6. Image Reconstruction (MRI)
  7. Ill-Posedness and Regularization