Gabor feature-based collaborative representation for hyperspectral imagery classification

Sen Jia, Linlin Shen, Qingquan Li

Research output: Journal PublicationArticlepeer-review

116 Citations (Scopus)

Abstract

Sparse-representation-based classification (SRC) assigns a test sample to the class with minimum representation error via a sparse linear combination of all the training samples, which has successfully been applied to several pattern recognition problems. According to compressive sensing theory, the l 1-norm minimization could yield the same sparse solution as the l0 norm under certain conditions. However, the computational complexity of the l1-norm optimization process is often too high for large-scale high-dimensional data, such as hyperspectral imagery (HSI). To make matter worse, a large number of training data are required to cover the whole sample space, which is difficult to obtain for hyperspectral data in practice. Recent advances have revealed that it is the collaborative representation but not the l1-norm sparsity that makes the SRC scheme powerful. Therefore, in this paper, a 3-D Gabor feature-based collaborative representation (3GCR) approach is proposed for HSI classification. When 3-D Gabor transformation could significantly increase the discrimination power of material features, a nonparametric and effective l2-norm collaborative representation method is developed to calculate the coefficients. Due to the simplicity of the method, the computational cost has been substantially reduced; thus, all the extracted Gabor features can be directly utilized to code the test sample, which conversely makes the l2-norm collaborative representation robust to noise and greatly improves the classification accuracy. The extensive experiments on two real hyperspectral data sets have shown higher performance of the proposed 3GCR over the state-of-the-art methods in the literature, in terms of both the classifier complexity and generalization ability from very small training sets.

Original languageEnglish
Article number6866884
Pages (from-to)1118-1129
Number of pages12
JournalIEEE Transactions on Geoscience and Remote Sensing
Volume53
Issue number2
DOIs
Publication statusPublished - Feb 2015
Externally publishedYes

Keywords

  • Collaborative representation
  • feature extraction
  • hyperspectral imagery (HSI) classification

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Earth and Planetary Sciences (all)

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