Stability of Image-Reconstruction Algorithms

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 topical variational regularization strategies ( $\ell _{2}$ _{1}$ regularization) present novel _{p}$ -regularized linear inverse problems notation="LaTeX">$p\in (1,\infty)$ . Our guarantee Lipschitz continuity small notation="LaTeX">$p$ Hölder larger They generalize well notation="LaTeX">$L_{p}(\Omega)$ function spaces.