Splitting with Near-Circulant Linear Systems: Applications to Total Variation CT and PET
Splitting with Near-Circulant Linear Systems: Applications to Total Variation CT and PET
Many imaging problems, such as total variation reconstruction of X-ray computed tomography (CT) and positron-emission tomography (PET), are solved via a convex optimization problem with near-circulant, but not actually circulant, linear systems. The popular methods to solve these problems, alternating direction method of multipliers (ADMM) and primal-dual hybrid gradient (PDHG), …