2015
DOI: 10.3390/rs70708469
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Multi-Frequency Polarimetric SAR Classification Based on Riemannian Manifold and Simultaneous Sparse Representation

Abstract: Normally, polarimetric SAR classification is a high-dimensional nonlinear mapping problem. In the realm of pattern recognition, sparse representation is a very efficacious and powerful approach. As classical descriptors of polarimetric SAR, covariance and coherency matrices are Hermitian semidefinite and form a Riemannian manifold. Conventional Euclidean metrics are not suitable for a Riemannian manifold, and hence, normal sparse representation classification cannot be applied to polarimetric SAR directly. Thi… Show more

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Cited by 22 publications
(22 citation statements)
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References 34 publications
(47 reference statements)
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“…The underlying datasets were acquired with high temporal and spatial correlation (see Table 1, Figure 1). One common method to classify a generic SAR image (not only for sea ice) based on polarimetric features is the unsupervised Wishart classification ( [41,42]), a more recent method ( [43]) uses Riemannian manifold classification, that does not rely on particular parametric assumptions on the distributions. In addition to quad polarimetric SAR, compact polarimetry has been found to offer a good compromise between the number of polarization channels and coverage (see [44]).…”
Section: Introductionmentioning
confidence: 99%
“…The underlying datasets were acquired with high temporal and spatial correlation (see Table 1, Figure 1). One common method to classify a generic SAR image (not only for sea ice) based on polarimetric features is the unsupervised Wishart classification ( [41,42]), a more recent method ( [43]) uses Riemannian manifold classification, that does not rely on particular parametric assumptions on the distributions. In addition to quad polarimetric SAR, compact polarimetry has been found to offer a good compromise between the number of polarization channels and coverage (see [44]).…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, Wishart classifier (middle part of Figure 1) was also employed as an independent method to assess the efficiency of the proposed procedure. This classifier has been widely used as a baseline for performance evaluation of the developed algorithms for PolSAR data classification in many researches (Haddadi et al, 2011;Maghsoudi et al, 2012;Salehi et al, 2014;Yang, Gao, Xu, & Yang, 2015).…”
Section: Methodsmentioning
confidence: 99%
“…The resurgent development of many theoretical analysis frameworks [22,23] and effective algorithms [24] has been witnessed. The applications of the sparse signal representation technique mainly include radar imaging [25,26], image restoration [27], image classification [28,29], and pattern recognition [15,30]. The key of sparse signal model is based on the fact that a certain signal can be represented by an overcomplete basis set (dictionary).…”
Section: Srcmentioning
confidence: 99%