Splitting with Near-Circulant Linear Systems: Applications to Total Variation CT and PET

31 Oct 2018Ernest K. RyuSeyoon KoJoong-Ho Won

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), do not directly utilize this structure... (read more)

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