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RASL: Robust Alignment by Sparse and Low-rank Decomposition for Linearly Correlated Images

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RASL: Robust Alignment by Sparse and Low-rank Decomposition for Linearly Correlated Images
This paper studies the problem of simultaneously aligning a batch of linearly correlated images despite gross corruption (such as occlusion). Our method seeks an optimal set of image domain transformations such that the matrix of transformed images can be decomposed as the sum of a sparse matrix of errors and a low-rank matrix of recovered aligned images. We reduce this extremely challenging optimization problem to a sequence of convex programs that minimize the sum of 1 -norm and nuclear norm of the two component matrices, which can be efficiently solved by scalable convex optimization techniques with guaranteed fast convergence. We verify the efficacy of the proposed robust alignment algorithm with extensive experiments with both controlled and uncontrolled real data, demonstrating higher accuracy and efficiency than existing methods over a wide range of realistic misalignments and corruptions.
Yigang Peng, Arvind Balasubramanian, John Wright,
Added 29 Mar 2010
Updated 14 May 2010
Type Conference
Year 2010
Where CVPR
Authors Yigang Peng, Arvind Balasubramanian, John Wright, Ma Yi
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