Nearest Regularized Joint Sparse Representation for Hyperspectral Image Classification

By means of a sparse collaborative representation mechanism, sparse-representation-based classifiers show a superior performance in hyperspectral image (HSI) classification. Exploiting the similarity and distinctiveness of HSI neighboring pixels, we propose a new nearest regularized joint sparse representation (NRJSR) classification method in this letter. In the classification process of the central test pixel, the weights of different neighboring pixels and the sparse representation coefficients of different training samples are optimized simultaneously within a regularized sparsity model, which can obtain adaptive weights with good joint sparse representation ability. An alternative iteration strategy is used to solve the regularized joint sparsity model. The proposed NRJSR algorithm is tested on two benchmark HSI data sets. Experimental results demonstrate that the proposed algorithm performs better than other sparsity-based algorithms and spectral and spectral-spatial support vector machine classifiers.

[1]  Trac D. Tran,et al.  Hyperspectral Image Classification Using Dictionary-Based Sparse Representation , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[2]  Yicong Zhou,et al.  Region-Kernel-Based Support Vector Machines for Hyperspectral Image Classification , 2015, IEEE Transactions on Geoscience and Remote Sensing.

[3]  Yuan Yan Tang,et al.  Sparse Representation Based on Set-to-Set Distance for Hyperspectral Image Classification , 2015, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[4]  Fuchun Sun,et al.  A Fast and Robust Sparse Approach for Hyperspectral Data Classification Using a Few Labeled Samples , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[5]  Lorenzo Bruzzone,et al.  Classification of hyperspectral remote sensing images with support vector machines , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[6]  James E. Fowler,et al.  Nearest Regularized Subspace for Hyperspectral Classification , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[8]  Qian Du,et al.  Classification of hyperspectral urban data using adaptive simultaneous orthogonal matching pursuit , 2014 .

[9]  Qian Du,et al.  Joint Within-Class Collaborative Representation for Hyperspectral Image Classification , 2014, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[10]  Pierre Soille,et al.  Beyond self-duality in morphological image analysis , 2005, Image Vis. Comput..

[11]  Asok Ray,et al.  Quality-Based Multimodal Classification Using Tree-Structured Sparsity , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[12]  Rama Chellappa,et al.  Joint Sparse Representation for Robust Multimodal Biometrics Recognition , 2014, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[13]  Gustavo Camps-Valls,et al.  Composite kernels for hyperspectral image classification , 2006, IEEE Geoscience and Remote Sensing Letters.

[14]  Trac D. Tran,et al.  Robust multi-sensor classification via joint sparse representation , 2011, 14th International Conference on Information Fusion.

[15]  Allen Y. Yang,et al.  Robust Face Recognition via Sparse Representation , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[16]  Jon Atli Benediktsson,et al.  A spatial-spectral kernel-based approach for the classification of remote-sensing images , 2012, Pattern Recognit..

[17]  Lorenzo Bruzzone,et al.  Kernel-based methods for hyperspectral image classification , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[18]  Liangpei Zhang,et al.  A Nonlocal Weighted Joint Sparse Representation Classification Method for Hyperspectral Imagery , 2014, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.