Browsing by Author "Jiang, Hong"
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Item An Efficient Augmented Lagrangian Method with Applications to Total Variation Minimization(2012-07) Li, Chengbo; Yin, Wotao; Jiang, Hong; Zhang, YinBased on the classic augmented Lagrangian multiplier method, we propose, analyze and test an algorithm for solving a class of equality-constrained non-smooth optimization problems (chiefly but not necessarily convex programs) with a particular structure. The algorithm effectively combines an alternating direction technique with a nonmonotone line search to minimize the augmented Lagrangian function at each iteration. We establish convergence for this algorithm, and apply it to solving problems in image reconstruction with total variation regularization. We present numerical results showing that the resulting solver, called TVAL3, is competitive with, and often outperforms, other state-of-the-art solvers in the field.Item A New Compressive Video Sensing Framework for Mobile Broadcast(IEEE, 2013-03) Li, Chengbo; Jiang, Hong; Wilford, Paul; Zhang, Yin; Scheutzow, MikeA new video coding method based on compressive sampling is proposed. In this method, a video is coded using compressive measurements on video cubes. Video reconstruction is performed by minimization of total variation (TV) of the pixelwise discrete cosine transform coefficients along the temporal direction. A new reconstruction algorithm is developed from TVAL3, an efficient TV minimization algorithm based on the alternating minimization and augmented Lagrangian methods. Video coding with this method is inherently scalable, and has applications in mobile broadcast.