The aim of this project is to understand the effect of continuous-domain Lp-norm regularization (when 1 < p < 2). To that end, we study the Lp-regularized generalized interpolation problem. In order to numerically solve this continuous-domain problem, we propose a spline-based discretization scheme which leads to an exact discretization. The resulting discrete problem can be solved efficiently by using existing optimization methods. We then present some numerical results which help us in understanding the behaviour of the Lp-regularized solution.
Inner-Loop-Free ADMM for Cryo-EM15 Jan 2019
Fast PET reconstruction: the home stretch11 Dec 2018
Self-Supervised Deep Active Accelerated MRI27 Nov 2018
Minimum Support Multi-Splines20 Nov 2018
Steer&Detect on Images 14 Nov 2017