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A Preconditioned Alternating Minimization Framework for Nonconvex and Half Quadratic Optimization
Shengxiang Deng, Ismail Ben Ayed, Hongpeng Sun
For some typical and widely used non-convex half-quadratic regularization models and the Ambrosio-Tortorelli approximate Mumford-Shah model, based on the Kurdyka-Łojasiewicz analys…
Variational Image Motion Estimation by Accelerated Dual Optimization
Hongpeng Sun, Xue-Cheng Tai, Jing Yuan
Estimating optical flows is one of the most interesting problems in computer vision, which estimates the essential information about pixel-wise displacements between two consecutiv…
Efficient ADMM and Splitting Methods for Continuous Min-cut and Max-flow Problems
Hongpeng Sun, Xuecheng Tai, Jing Yuan
The Potts model has many applications. It is equivalent to some min-cut and max-flow models. Primal-dual algorithms have been used to solve these problems. Due to the special struc…
Accelerated Douglas-Rachford methods for the solution of convex-concave saddle-point problems
Kristian Bredies, Hongpeng Sun
We study acceleration and preconditioning strategies for a class of Douglas-Rachford methods aiming at the solution of convex-concave saddle-point problems associated with Fenchel-…