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An efficient algorithm for total variation regularization with applications to the single pixel camera and compressive sensing

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Title: An efficient algorithm for total variation regularization with applications to the single pixel camera and compressive sensing
Author: Li, Chengbo
Advisor: Zhang, Yin
Degree: Master of Arts thesis
Abstract: In this thesis, I propose and study an efficient algorithm for solving a class of compressive sensing problems with total variation regularization. This research is motivated by the need for efficient solvers capable of restoring images to a high quality captured by the single pixel camera developed in the ECE department of Rice University. Based on the ideas of the augmented Lagrangian method and alternating minimization to solve subproblems, I develop an efficient and robust algorithm called TVAL3. TVAL3 is compared favorably with other widely used algorithms in terms of reconstruction speed and quality. Convincing numerical results are presented to show that TVAL3 is suitable for the single pixel camera as well as many other applications.
Citation: Li, Chengbo. (2010) "An efficient algorithm for total variation regularization with applications to the single pixel camera and compressive sensing." Masters Thesis, Rice University. http://hdl.handle.net/1911/62229.
URI: http://hdl.handle.net/1911/62229
Date: 2010

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