Title
Exploiting Block-Sparsity For Hyperspectral Kronecker Compressive Sensing: A Tensor-Based Bayesian Method
Abstract
Bayesian methods are attracting increasing attention in the field of compressive sensing (CS), as they are applicable to recover signals from random measurements. However, these methods have limited use in many tensor-based cases such as hyperspectral Kronecker compressive sensing (HKCS), because they exploit the sparsity in only one dimension. In this paper, we propose a novel Bayesian model for HKCS in an attempt to overcome the above limitation. The model exploits multi-dimensional block-sparsity such that the information redundancies in all dimensions are eliminated. Laplace prior distributions are employed for sparse coefficients in each dimension, and their coupling is consistent with the multi-dimensional block-sparsity model. Based on the proposed model, we develop a tensor-based Bayesian reconstruction algorithm, which decouples the hyperparameters for each dimension via a low-complexity technique. Experimental results demonstrate that the proposed method is able to provide more accurate reconstruction than existing Bayesian methods at a satisfactory speed. Additionally, the proposed method can not only be used for HKCS, it also has the potential to be extended to other multi-dimensional CS applications and to multi-dimensional block-sparse-based data recovery.
Year
DOI
Venue
2020
10.1109/TIP.2019.2944722
IEEE TRANSACTIONS ON IMAGE PROCESSING
Keywords
DocType
Volume
Compressive sensing, hyperspectral image, bayesian model, block-sparse
Journal
29
Issue
ISSN
Citations 
1
1057-7149
0
PageRank 
References 
Authors
0.34
7
4
Name
Order
Citations
PageRank
Rongqiang Zhao102.03
Qiang Wang260184.65
Jun Fu301.35
Luquan Ren424.76