Block compressed sensing of natural images

被引:0
作者
Gan, Lu [1 ]
机构
[1] Univ Liverpool, Dept Elect & Elect Engn, Liverpool L69 3GJ, Merseyside, England
来源
PROCEEDINGS OF THE 2007 15TH INTERNATIONAL CONFERENCE ON DIGITAL SIGNAL PROCESSING | 2007年
关键词
compressed sensing; random projections; non-linear reconstruction; sparsity;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Compressed sensing (CS) is a new technique for simultaneous data sampling and compression. In this paper, we propose and study block compressed sensing for natural images. where image acquisition is conducted in a block-by-block manner through the same operator. While simpler and more efficient than other CS techniques, the proposed scheme call sufficiently capture the complicated geometric of natural images. Our image reconstruction algorithm involves both linear and nonlinear operations such as wiener filtering, projection onto the convex set and hard thresholding in the transform domain. Several numerical experiments demonstrate that the proposed block CS compare; favorably with existing schemes, at a much lower implementation cost.
引用
收藏
页码:403 / 406
页数:4
相关论文
共 17 条
[1]  
Candes E., 2005, PRACTICAL SIGNAL REC
[2]   Robust uncertainty principles:: Exact signal reconstruction from highly incomplete frequency information [J].
Candès, EJ ;
Romberg, J ;
Tao, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (02) :489-509
[3]   The curvelet representation of wave propagators is optimally sparse [J].
Candès, EJ ;
Demanet, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2005, 58 (11) :1472-1528
[4]  
CHEN S, 1999, SIAM J SCI COMP, V220
[5]   An iterative thresholding algorithm for linear inverse problems with a sparsity constraint [J].
Daubechies, I ;
Defrise, M ;
De Mol, C .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (11) :1413-1457
[6]  
DAUBECHIES I, 1992, CMBS C SER
[7]  
Donoho D. L., 2006, SPARSE SOLUTION UNDE
[8]   Compressed sensing [J].
Donoho, DL .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (04) :1289-1306
[9]   IDEAL SPATIAL ADAPTATION BY WAVELET SHRINKAGE [J].
DONOHO, DL ;
JOHNSTONE, IM .
BIOMETRIKA, 1994, 81 (03) :425-455
[10]  
Haykin SS., 2008, ADAPTIVE FILTER THEO