Stability of Image-Reconstruction Algorithms

Abstract

Robustness and stability of image-reconstruction algorithms have recently come under scrutiny. Their importance to medical imaging cannot be overstated. We review the known results for the topical variational regularization strategies (_2 and _1 regularization) and present novel stability results for _p-regularized linear inverse problems for p(1,). Our results guarantee Lipschitz continuity for small p and H\"older continuity for larger p. They generalize well to the L_p() function spaces.

Tasks

Reproductions