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• W3134006559 endingPage "3649" @default.
• W3134006559 startingPage "3637" @default.
• W3134006559 abstract "Sparse representation has achieved great success across various fields including signal processing, machine learning and computer vision. However, most existing sparse representation methods are confined to the real valued data. This largely limit their applicability to the quaternion valued data, which has been widely used in numerous applications such as color image processing. Another critical issue is that their performance may be severely hampered due to the data noise or outliers in practice. To tackle the problems above, in this work we propose a robust quaternion valued sparse representation (RQVSR) method in a fully quaternion valued setting. To handle the quaternion noises, we first define a new robust estimator referred as quaternion Welsch estimator to measure the quaternion residual error. Compared to the conventional quaternion mean square error, it can largely suppress the impact of large data corruption and outliers. To implement RQVSR, we have overcome the difficulties raised by the noncommutativity of quaternion multiplication and developed an effective algorithm by leveraging the half-quadratic theory and the alternating direction method of multipliers framework. The experimental results show the effectiveness and robustness of the proposed method for quaternion sparse signal recovery and color image reconstruction." @default.
• W3134006559 created "2021-03-15" @default.
• W3134006559 creator A5016962594 @default.
• W3134006559 creator A5038842758 @default.
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• W3134006559 date "2021-01-01" @default.
• W3134006559 modified "2023-10-16" @default.
• W3134006559 title "Robust Sparse Representation in Quaternion Space" @default.
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• W3134006559 doi "https://doi.org/10.1109/tip.2021.3064193" @default.
• W3134006559 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33705312" @default.
• W3134006559 hasPublicationYear "2021" @default.
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