期刊名称: |
IEEE Transactions on Geoscience and Remote Sensing |
全部作者: |
Sen Jia,Linlin Shen,Qingquan Li |
出版年份: |
2015 |
卷 号: |
53 |
期 号: |
2 |
页 码: |
1118-1129 |
查看全本: |
|
—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 l1-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.