A l¹<i>-minimization </i>Based Approach for Hyperspectral Data Classification

Abstract

Most of classification methods require model learning procedure or optimal parameters selection using large number of training samples. In this paper, we propose a novel classification approach using l1-minimization based sparse representation which does not need any learning procedure or parameters selection. The proposed approach is based on l1minimization because l0-minimization is generally NP-hard and is not a convex optimization problem. Sparse based solutions have been proposed in other areas like signal processing but to the best of our knowledge, this is the first time that sparse based classification is being proposed for the classification of hyperspectral data. l1-minimization based sparse representation is calculated for each of the test samples using few training samples directly. In remote sensing, usually it is extremely difficult and expensive to identify and label the samples due to which we often lack sufficient training samples for classification. We tested the proposed approach for difficult classification problem i.e high dimensional spaces and few training samples. We also analyzed the cases in which the sparse based classification may and may not work. Our extensive experiments on real hyperspectral dataset (AVIRIS 1992 Indiana’s Indian Pines image), prove that the proposed technique offers more classification accuracy and more efficient than state-of-the-art SVM and semi-supervised methods as it does not need any model selection.

Sparse representation based multi-threshold segmentation for hyperspectral target detection

“…With the orthogonal bases, such as the fourier basis, the wavelet basis and discrete cosine basis etc., the method can isolate the noise and reduce the calculation while retaining the signal characteristics to be used in the following processing [5] . In the hyperspectral image p rocessing, the spectral dimension of hyperspectral images has been proven to satisfy the sparse conditions, and the SR model has been used to solve the problem o f hyperspectral classification [6][7][8] . SUN et al [9] proposed a spatial-sparse-coding-bag-of-words(SSCBOW)-model-based detection framework for targets with co mp lex shapes in h igh-resolution remote sensing images.…”