Signal and Information Processing

Block Compressed Sensing Sampling and Reconstruction Using Spectral Prediction for Hyperspectral Images

Expand
  • School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710129, China  

Received date: 2012-04-06

  Revised date: 2012-11-28

  Online published: 2012-11-28

Abstract

Compressed sensing (CS) provides a new method for data acquisition. Ahyperspectral images CS
methodology is proposed in this paper. In the proposed framework, hyperspectral images are divided into
several groups, and each group consists of a reference band followed by some common bands. Random measurements of the individual spectral bands are obtained using block CS independently. In image reconstruction,the reference bands are reconstructed with the smoothed projected Landweber algorithm, and the common bands with a new reconstruction algorithm. The algorithm is implemented as follows: 1) Obtain predicted values of the common bands using the spectral bidirectional prediction. 2) Calculate measurement differences using block observation on the predicted values. 3) Reconstruct the images and their corresponding prediction differences in an iterative fashion. This method can improve reconstruction quality as it has fully considered the spectral and spatial correlations. Experimental results reveal that reconstruction performance of the proposed method is substantially superior to that by applying 2-D image reconstruction independently and that of a multiple-vector CS variant method.  

Cite this article

JIA Ying-biao, FENG Yan, YUAN Xiao-ling, WEI Jiang . Block Compressed Sensing Sampling and Reconstruction Using Spectral Prediction for Hyperspectral Images[J]. Journal of Applied Sciences, 2014 , 32(3) : 281 -286 . DOI: 10.3969/j.issn.0255-8297.2014.03.009

References

[1] DONOHO D L. Compressed sensing[J]. IEEE Transaction on Information Theory, 2006, 52 (4): 1289-1306.

[2] CANDÈS E, ROMBERG J, TAO T. Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information [J]. IEEE Transactions on Information Theory, 2006, 52(2): 489-509.

[3] BARANIUK R G. Compressive sensing[J]. IEEE on Signal Processing Magazine, 2007, 24(4): 118-121.

[4]  WAGADARIKAR A, JOHN R, WILLETT R, et al. Single disperser design for coded aperture snapshot spectral imaging [J]. Applied Optics, 2008, 47: B44-B51.

[5]  KITTLE D, CHOI K, WAGADARIKAR A, et al. Multi-frame image estimation for coded aperture snapshot spectral imagers [J]. Applied Optics, 2010, 49: 6824-6833.

[6] SHU Xian Biao, AHUJA Narendra. Imaging via three-dimensional compressive sampling (3DCS) [C]//13th International Con-ference on Computer Vision (ICCV), 2011:439-446.

[7] DUARTE M F, Richard G. BARANIUK R G. Kronecker compressive sensing[J]. IEEE Transactions on Image Processing, 2012,21(2): 494-504.

[8] 刘海英,李云松,吴成柯,吕沛.一种高重构质量低复杂度的高光谱图像压缩感知[J]. 西安电子科技大学学报,2011, 38(3): 37-41.

     LIU Haiying, LI Yunsong, WU Chengke , Lv Pei. Compressed hyperspectral image sensing based on inter-band prediction [J]. Journal OF Xidian University, 2011, 38(3): 37- 41. (in Chinese).

[9] JI S, DUNSON D, CARIN L. Multitask compressive sensing[J]. IEEE Transaction on Signal Process, 2009, 57(1):  92-106.

[10] GAN L. Block compressed sensing of natural images [C]//15th International Conference on Digital Signal Processing, 2007:403-406.

[11] HAUPT J, NOWAK R. Signal reconstruction from noisy random projections[J]. IEEE Transactions on Information Theory, 2006, 52(9): 4036-4048.

[12] MUN S, FOWLER J E. Block compressed sensing of images using directional transforms[C]//IEEE International Conference on Image Processing, 2009: 3021-3024.

[13] CHRISTOPHE E, LÉGER D, MAILHES C. Quality criteria benchmark for hyperspectral imagery[J]. IEEE Transactions on Geoscience and Remote Sensing, 2005, 43(9): 2103-2114.

 

 
Outlines

/