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RASL: Robust Alignment by Sparse and Low-rank Decomposition for Linearly Correlated Images (2010)
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BibTeX
@MISC{Peng10rasl:robust,
author = {Yigang Peng and Arvind Ganesh and John Wright and Wenli Xu and Yi Ma},
title = {RASL: Robust Alignment by Sparse and Low-rank Decomposition for Linearly Correlated Images},
year = {2010}
}
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Abstract
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 ℓ1-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.
Keyphrases
low-rank decomposition robust alignment linearly correlated image recovered aligned image uncontrolled real data realistic misalignment scalable convex optimization technique sparse matrix robust alignment algorithm component matrix low-rank matrix wide range transformed image gross corruption nuclear norm paper study convex program extensive experiment image domain transformation optimal set challenging optimization problem fast convergence
