Wishart distance-based joint collaborative representation for polarimetric SAR image classification

Inspired by collaborative representation classifier (CRC), a Wishart distance-based joint CRC (W-JCRC) is proposed for polarimetric synthetic aperture radar (PolSAR) image classification. Since that neighbouring pixels usually belong to the same category with high probability, they can be simultaneo...

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Published inIET radar, sonar & navigation Vol. 11; no. 11; pp. 1620 - 1628
Main Authors Geng, Jie, Wang, Hongyu, Fan, Jianchao, Ma, Xiaorui, Wang, Bing
Format Journal Article
LanguageEnglish
Published The Institution of Engineering and Technology 01.11.2017
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ISSN1751-8784
1751-8792
DOI10.1049/iet-rsn.2017.0056

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Abstract Inspired by collaborative representation classifier (CRC), a Wishart distance-based joint CRC (W-JCRC) is proposed for polarimetric synthetic aperture radar (PolSAR) image classification. Since that neighbouring pixels usually belong to the same category with high probability, they can be simultaneously represented via a joint representation model of linear combinations of labelled samples. The joint collaborative representation of neighbouring pixels can overcome the influence of speckle noise at the same time. Considering the statistical property of PolSAR data, a weighted regularisation term with revised Wishart distance is designed to contain the correlations between unlabelled and labelled samples. The coefficients of representation are estimated by an $l_2$l2-norm minimisation derived closed-form solution. In the experiments, three real PolSAR images are applied to evaluate the performance, and the experimental results demonstrate that the proposed method is able to improve classification accuracies compared with other state-of-the-art methods.
AbstractList Inspired by collaborative representation classifier (CRC), a Wishart distance‐based joint CRC (W‐JCRC) is proposed for polarimetric synthetic aperture radar (PolSAR) image classification. Since that neighbouring pixels usually belong to the same category with high probability, they can be simultaneously represented via a joint representation model of linear combinations of labelled samples. The joint collaborative representation of neighbouring pixels can overcome the influence of speckle noise at the same time. Considering the statistical property of PolSAR data, a weighted regularisation term with revised Wishart distance is designed to contain the correlations between unlabelled and labelled samples. The coefficients of representation are estimated by an ‐norm minimisation derived closed‐form solution. In the experiments, three real PolSAR images are applied to evaluate the performance, and the experimental results demonstrate that the proposed method is able to improve classification accuracies compared with other state‐of‐the‐art methods.
Inspired by collaborative representation classifier (CRC), a Wishart distance-based joint CRC (W-JCRC) is proposed for polarimetric synthetic aperture radar (PolSAR) image classification. Since that neighbouring pixels usually belong to the same category with high probability, they can be simultaneously represented via a joint representation model of linear combinations of labelled samples. The joint collaborative representation of neighbouring pixels can overcome the influence of speckle noise at the same time. Considering the statistical property of PolSAR data, a weighted regularisation term with revised Wishart distance is designed to contain the correlations between unlabelled and labelled samples. The coefficients of representation are estimated by an $l_2$l2-norm minimisation derived closed-form solution. In the experiments, three real PolSAR images are applied to evaluate the performance, and the experimental results demonstrate that the proposed method is able to improve classification accuracies compared with other state-of-the-art methods.
Inspired by collaborative representation classifier (CRC), a Wishart distance‐based joint CRC (W‐JCRC) is proposed for polarimetric synthetic aperture radar (PolSAR) image classification. Since that neighbouring pixels usually belong to the same category with high probability, they can be simultaneously represented via a joint representation model of linear combinations of labelled samples. The joint collaborative representation of neighbouring pixels can overcome the influence of speckle noise at the same time. Considering the statistical property of PolSAR data, a weighted regularisation term with revised Wishart distance is designed to contain the correlations between unlabelled and labelled samples. The coefficients of representation are estimated by an l2‐norm minimisation derived closed‐form solution. In the experiments, three real PolSAR images are applied to evaluate the performance, and the experimental results demonstrate that the proposed method is able to improve classification accuracies compared with other state‐of‐the‐art methods.
Author Wang, Bing
Fan, Jianchao
Wang, Hongyu
Ma, Xiaorui
Geng, Jie
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Keywords synthetic aperture radar
polarimetric synthetic aperture radar
collaborative representation classifier
image classification
PolSAR
Wishart distance-based joint collaborative representation
radar imaging
statistical analysis
radar polarimetry
polarimetric SAR image classification
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Snippet Inspired by collaborative representation classifier (CRC), a Wishart distance-based joint CRC (W-JCRC) is proposed for polarimetric synthetic aperture radar...
Inspired by collaborative representation classifier (CRC), a Wishart distance‐based joint CRC (W‐JCRC) is proposed for polarimetric synthetic aperture radar...
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iet
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SubjectTerms collaborative representation classifier
image classification
polarimetric SAR image classification
polarimetric synthetic aperture radar
PolSAR
radar imaging
radar polarimetry
Research Article
statistical analysis
synthetic aperture radar
Wishart distance‐based joint collaborative representation
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Title Wishart distance-based joint collaborative representation for polarimetric SAR image classification
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