Dimensionality reduction and classification based on lower rank tensor analysis for hyperspectral imagery

作者：Chen Zhao^*; Wang Bin; Zhang Li-Ming

来源：Journal of Infrared and Millimeter Waves, 2013, 32(6): 569-575.

DOI：10.3724/SP.J.1010.2013.00569

• hyperspectral imagery
• lower rank tensor analysis
• sub-tensor
• spatial correlation
• subspace dimension
• dimensionality reduction
• classification

Sub-tensor based lower rank tensor analysis used for dimensionality reduction and classification in hyperspectral imagery was proposed. The method aims at raising classification accuracy by representing the hyperspectral image as a tensor. The tensor is divided into sub-tensors, wherein, dimensionality reduction and pixel classification were performed. Benefiting from the sub-tensors, the method capitalizes on local spatial correlation, exploits interaction between spatial and spectral dimensions, and maintains hyperspectral data structure with 3D tensor. Compared with existing theories based on tensor analysis, the proposed method eliminates the negative impacts of poor subspace dimension estimation and low global spatial correlation, which might seriously degrade performances of dimensionality reduction. Moreover, as long as subspace dimensions are smaller than sub-tensor dimensions, the method with sub-tensors achieves much higher classification accuracy than the method without sub-tensors. Therefore, for the proposed method, it is not necessary to estimate the subspace dimension. Experimental results of both simulated and real hyperspectral data, demonstrated that sub-tensor based lower rank tensor analysis gives better performance in dimensionality reduction and brings higher classification accuracy than existing methods do.

• 出版日期2013-12
• 单位复旦大学