Robust synchronization in SO(3) and SE(3) via low-rank and sparse matrix decomposition.

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Title: Robust synchronization in SO(3) and SE(3) via low-rank and sparse matrix decomposition.
Authors: Arrigoni, Federica1, Rossi, Beatrice2, Fragneto, Pasqualina2, Fusiello, Andrea1 andrea.fusiello@uniud.it
Source: Computer Vision & Image Understanding. Sep2018, Vol. 174, p95-113. 19p.
Subjects: Sparse matrix software, Synchronization software, Algorithms, Outlier detection, Decomposition method
Abstract: Highlights • Synchronization in SO(3) and SE(3) is formulated as a low-rank and sparse matrix decomposition problem. • Any low-rank and sparse matrix decomposition algorithm can be used in this framework. • Good trade-off between resistance to outliers and speed. Abstract This paper deals with the synchronization problem, which arises in multiple 3D point-set registration and in structure-from-motion. The problem is formulated as a low-rank and sparse matrix decomposition that caters for missing data, outliers and noise, and it benefits from a wealth of available decomposition algorithms that can be plugged-in. A minimization strategy, dubbed R-GoDec , is also proposed. Experimental results on simulated and real data show that this approach offers a good trade-off between resistance to outliers and speed. [ABSTRACT FROM AUTHOR]
Copyright of Computer Vision & Image Understanding is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Robust synchronization in SO(3) and SE(3) via low-rank and sparse matrix decomposition.
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  Data: <searchLink fieldCode="JN" term="%22Computer+Vision+%26+Image+Understanding%22">Computer Vision & Image Understanding</searchLink>. Sep2018, Vol. 174, p95-113. 19p.
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  Data: Highlights • Synchronization in SO(3) and SE(3) is formulated as a low-rank and sparse matrix decomposition problem. • Any low-rank and sparse matrix decomposition algorithm can be used in this framework. • Good trade-off between resistance to outliers and speed. Abstract This paper deals with the synchronization problem, which arises in multiple 3D point-set registration and in structure-from-motion. The problem is formulated as a low-rank and sparse matrix decomposition that caters for missing data, outliers and noise, and it benefits from a wealth of available decomposition algorithms that can be plugged-in. A minimization strategy, dubbed R-GoDec , is also proposed. Experimental results on simulated and real data show that this approach offers a good trade-off between resistance to outliers and speed. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Computer Vision & Image Understanding is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.cviu.2018.08.001
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      – Code: eng
        Text: English
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        PageCount: 19
        StartPage: 95
    Subjects:
      – SubjectFull: Sparse matrix software
        Type: general
      – SubjectFull: Synchronization software
        Type: general
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Outlier detection
        Type: general
      – SubjectFull: Decomposition method
        Type: general
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      – TitleFull: Robust synchronization in SO(3) and SE(3) via low-rank and sparse matrix decomposition.
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            – D: 01
              M: 09
              Text: Sep2018
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              Y: 2018
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