2016
DOI: 10.1109/tip.2016.2552402
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A Nonlocal TV-Based Variational Method for PolSAR Data Speckle Reduction

Abstract: In this paper, we propose a nonlocal total variation (NLTV)-based variational model for polarimetric synthetic aperture radar (PolSAR) data speckle reduction. This model, named WisNLTV, is obtained based on the Wishart fidelity term and the NLTV regularization defined for the complex-valued fourth-order tensor data. Since the proposed model is non-convex, an equivalent bi-convex model is obtained using the property of conjugate functions. Then, an efficient iteration algorithm is developed to solve the equival… Show more

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Cited by 49 publications
(28 citation statements)
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“…ormance of the filter results can be quantitatively evaluated according to image. As mentioned in [35,40], the preservation of the polarimetric and alyzed, and the evaluation of the suppression was measured. Specifically, of the pixel were denoted by the complex correlation parameters (Ca, eter was corresponding to the power information (P).…”
Section: Datamentioning
confidence: 99%
See 1 more Smart Citation
“…ormance of the filter results can be quantitatively evaluated according to image. As mentioned in [35,40], the preservation of the polarimetric and alyzed, and the evaluation of the suppression was measured. Specifically, of the pixel were denoted by the complex correlation parameters (Ca, eter was corresponding to the power information (P).…”
Section: Datamentioning
confidence: 99%
“…The value edge preservation. The equivalent number of looks (ENL) was applied to ression, which was defined as the square ratio of the mean to the standard geneous region [40][41][42]. The larger the ENL was, the better the quality of .…”
Section: Datamentioning
confidence: 99%
“…Direct formulation of the objective function on the full covariance matrices raises several problems: (i) computational complexity due to the nonconvexity of the data-fitting term; (ii) difficulty to express regularity properties of the complex-valued terms of the covariance matrices; (iii) non-stationary variance of speckle that leads to over/under-smoothing in some areas. These difficulties explain that very few works were conducted in this direction, with the exception of recent works on multi-channel TV regularizations [52], [53], [54]. Finally, while the homomorphic transform approach is well understood on intensity images, no variance stabilization transform is known for multi-channel images.…”
Section: Introductionmentioning
confidence: 99%
“…During a plenty of times, many approaches for the purpose have been discovered in scientific literature. However, the image smoothing problems significantly come into the notice are reported in many research articles including local filtering-based image smoothing [1,2], nonlocal-based methods [3][4][5][6] are also noted in literature. Nonlocal wavelet-based method [7,8], nonlocal-based sparse coding strategy [9], nonlocal lowrank [10], the sparse representation techniques [11], shearlet-based model [12], curvelet-based method [13], dictionary-based approaches [14,15], soft-thresholding method [16], image deblurring technique using regularization [17], the radial basis function (RBF)-based method [18] and image retrieval with color and angle representation [19] are also remarkable in applications.…”
Section: Introductionmentioning
confidence: 99%