The DOI matches its Crossref record; 47 of the 47 references it cites were found in a registry or an index.
RASL: Robust Alignment by Sparse and Low-Rank Decomposition for Linearly Correlated Images
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. We verify the efficacy of the proposed robust alignment algorithm with extensive experiments on both controlled and uncontrolled real data, demonstrating higher accuracy and efficiency than existing methods over a wide range of realistic misalignments and corruptions.
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Cites
Robust Real-Time Face Detection
Viola, P., & Jones, M. J. (2004) · International Journal of Computer Vision · doi:10.1023/b:visi.0000013087.49260.fb · Cited by 14,097
Robust Face Recognition via Sparse Representation
Wright, J., Yang, A. Y., Ganesh, A., Sastry, S. S., & Ma, Y. (2009) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2008.79 · Cited by 9,388
Self-citationRobust principal component analysis?
Candès, E. J., Li, X., Ma, Y., & Wright, J. (2011) · Journal of the ACM · doi:10.1145/1970392.1970395 · Cited by 6,921
Self-citationA Singular Value Thresholding Algorithm for Matrix Completion
Cai, J.-F., Candès, E. J., & Shen, Z. (2010) · SIAM Journal on Optimization · doi:10.1137/080738970 · Cited by 5,809
Labeled Faces in the Wild: A Database forStudying Face Recognition in Unconstrained Environments
Huang, G. B., Mattar, M., Berg, T. L., & Miller, E. G. (2008) · HAL · Cited by 4,445
A survey of image registration techniques
Brown, L. G. (1992) · ACM Computing Surveys · doi:10.1145/146370.146374 · Cited by 4,057
Halko, N., Martinsson, P. G., & Tropp, J. A. (2011) · SIAM Review · doi:10.1137/090771806 · Cited by 4,002
A survey of medical image registration
Maintz, J. B. A., & Viergever, M. A. (1998) · Medical Image Analysis · doi:10.1016/s1361-8415(01)80026-8 · Cited by 3,327
Lucas-Kanade 20 Years On: A Unifying Framework
Baker, S., & Matthews, I. (2004) · International Journal of Computer Vision · doi:10.1023/b:visi.0000011205.11775.fd · Cited by 3,155
Mutual-information-based registration of medical images: a survey
Pluim, J. P. W., Maintz, J. B. A., & Viergever, M. A. (2003) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2003.815867 · Cited by 2,890
Cited by
Fast and Accurate Matrix Completion via Truncated Nuclear Norm Regularization
Hu, Y., Zhang, D., Ye, J., Li, X., & He, X. (2013) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2012.271 · Cited by 829
Otazo, R., Candès, E., & Sodickson, D. K. (2015) · Magnetic Resonance in Medicine · doi:10.1002/mrm.25240 · Cited by 697
Nonlocal Image Restoration With Bilateral Variance Estimation: A Low-Rank Approach
Dong, W., Shi, G., & Li, X. (2013) · IEEE Transactions on Image Processing · doi:10.1109/tip.2012.2221729 · Cited by 655
Rank Minimization for Snapshot Compressive Imaging
Liu, Y., Yuan, X., Suo, J., Brady, D. J., & Dai, Q. (2019) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2018.2873587 · Cited by 466
Parallel Multi-Block ADMM with o(1 / k) Convergence
Deng, W., Lai, M.-J., Peng, Z., & Yin, W. (2017) · Journal of Scientific Computing · doi:10.1007/s10915-016-0318-2 · Cited by 455
Metadata
- Authors
- Peng, Y., Ganesh, A., Wright, J., Xu, W., & Ma, Y.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 2012-11
- Volume
- 34
- Issue
- 11
- Pages
- 2233-2246
- ISSN
- 0162-8828 (ISSN-L)
- 2160-9292
- OpenAlex
- W1974042113
- Cited by
- 817
- References
- 47
- FWCI
- 84.19
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: RASL: Robust Alignment by Sparse and Low-Rank Decomposition for Linearly Correlated Images. https://app.cochat.ai/papers/10.1109/tpami.2011.282
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- Peng, Y., Ganesh, A., Wright, J., Xu, W., & Ma, Y. (2012). RASL: Robust Alignment by Sparse and Low-Rank Decomposition for Linearly Correlated Images. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/tpami.2011.282
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
