Since its introduction in the 1970s, magnetic resonance imaging (MRI) has become an invaluable (and non-invasive) diagnostic tool in medicine. MR imaging incorporates several fascinating ideas from physics, engineering, statistics and computer science. In this REU, we will explore the mathematical underpinnings of MR image reconstruction.
Specifically, we investigate methods of improving the accuracy of MR image reconstructions using edge information. Over the course of the program, we will explore