Rick Chartrand

• B.Sc.(Hons.) Mathematics, University of Manitoba, 1993
• M.A. Mathematics, University of California, Berkeley, 1994
• Ph.D. Mathematics, University of California, Berkeley, 1999

Compressed sensing, inverse problems, image processing, novel forms of image reconstruction, geometric analysis, regularization using prior knowledge, image metrics and warping, modelling high-dimensional data, kernel methods and machine learning.

• Exact reconstructions from surprisingly little data
• Numerical differentiation of noisy data
• Denoising images with Poisson noise statistics
• Detecting nuclear materials from muon-scattering data
• Abel inversion using total-variation regularization
• A simple algorithm for Monge-Kantorovich optimal transport