Skip to main content
Log in

A maximum noise fraction transform with improved noise estimation for hyperspectral images

  • Published:
Science in China Series F: Information Sciences Aims and scope Submit manuscript

Abstract

Feature extraction is often performed to reduce spectral dimension of hyperspectral images before image classification. The maximum noise fraction (MNF) transform is one of the most commonly used spectral feature extraction methods. The spectral features in several bands of hyperspectral images are submerged by the noise. The MNF transform is advantageous over the principle component (PC) transform because it takes the noise information in the spatial domain into consideration. However, the experiments described in this paper demonstrate that classification accuracy is greatly influenced by the MNF transform when the ground objects are mixed together. The underlying mechanism of it is revealed and analyzed by mathematical theory. In order to improve the performance of classification after feature extraction when ground objects are mixed in hyperspectral images, a new MNF transform, with an improved method of estimating hyperspectral image noise covariance matrix (NCM), is presented. This improved MNF transform is applied to both the simulated data and real data. The results show that compared with the classical MNF transform, this new method enhanced the ability of feature extraction and increased classification accuracy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Tong Q X, Zhang B, Zheng L F. Hyperspectral Remote Sensing. Beijing: Higher Education Press, 2006. 145–154

    Google Scholar 

  2. Keshava N, Mustard J F. Spectral unmixing. IEEE Signal Proc Exploit Hyperspect Imag, 2002, 19: 44–57

    Article  Google Scholar 

  3. David G G, Andrew D, Niemann K O, et al. Processing HYPERION and ALI for forest classification. IEEE Trans Geosci Remote Sens, 2003, 41(6): 1321–1331

    Article  Google Scholar 

  4. Jacob T M, Nancy F G, Keith T W, et al. Discrimination of hoary cress and determination of its detection limits via hyperspectral image processing and accuracy assessment techniques. Remote Sens Environ, 2005, 96(3–4): 509–517

    Google Scholar 

  5. Zhang B, Chen Z C, Zheng L F, et al. Object detection based on feature extraction from hyperspectral imagery and convex cone projection transform. J Infrared Millim W, 2004, 23(6): 441–445

    Google Scholar 

  6. Green A A, Berman M, Switzer P, et al. A transformation for ordering multispectral data in terms of image quality with implications for noise removal. IEEE Trans Geosci Remote Sens, 1988, 26(1): 65–74

    Article  Google Scholar 

  7. James B L, Woodyatt A S, Berman M. Enhancement of high spectral resolution remote-sensing data by a noise-adjusted principal components transform. IEEE Trans Geosci Remote Sens, 1990, 28(3): 295–304

    Article  Google Scholar 

  8. Nielsen A A. Analysis of regularly and irregularly sampled spatial, multivariate, and multi-temporal data. Dissertation for the Doctoral Degree. Lyngby: Institute of Mathematical Modelling, Technical University of Denmark, 1994. 45–74

    Google Scholar 

  9. Gao L R. Spectra enhancement and feature extraction for target detection in hyperspectral imagery. Dissertation for the Doctoral Degree. Beijing: Institute of Remote Sensing Applications, Chinese Academy of Science, 2007. 40–70

    Google Scholar 

  10. Conradsen K, Nielsen B K, Nielsen A A. Noise removal in multichannel image data by a parametric maximum noise fractions estimator. In: Proceedings of the 24th International Symposium on Remote Sensing of Environment, Rio de Janeiro, Brazil, 1991. 403–416

  11. Olsen S I. Estimation of noise in images: an evaluation. Graph Model Image Proc, 1993, 55(4): 319–323

    MathSciNet  Google Scholar 

  12. Roger R E. Principal components transform with simple, automatic noise adjustment. Int J Remote Sens, 1996, 17(14): 2719–2727

    Article  Google Scholar 

  13. Roger R E, Arnold J F. Reliably estimating the noise in AVIRIS hyperspectral images. Int J Remote Sens, 1996, 17(10): 1951–1962

    Article  Google Scholar 

  14. Gao L R, Zhang B, Zhang X, et al. A new operational method for estimating noise in hyperspectral images. IEEE Geosci Remote Sens Lett, 2008, 5(1): 83–87

    Article  Google Scholar 

  15. Curran P J, Dungan J L. Estimation of signal-to-noise: a new procedure applied to AVIRIS data. IEEE Trans Geosci Remote Sens, 1989, 27(5): 620–628

    Article  Google Scholar 

  16. Gao B C. An operational method for estimating signal to noise ratios from data acquired with imaging spectrometers. Remote Sens Environ, 1993, 43(1): 23–33

    Article  Google Scholar 

  17. Corner B R. Noise estimation in remote sensing imagery using data masking. Int J Remote Sens, 2003, 24(4): 689–702

    Article  Google Scholar 

  18. Greco M, Diani M, Corsini G. Analysis of the classification accuracy of a new MNF based feature extraction algorithm. In: Proceedings of SPIE. International Society of Optical Engineering, Stockholm, Sweden, 2006. V6365

  19. Zhang B, Chen Z C, Zheng L F, et al. Object detection based on feature extraction from hyperspectral imagery and convex cone projection transform. J Infrared Millim W, 2004, 23(6): 441–445

    Google Scholar 

  20. Zhang B, Jia X P, Chen Z C, et al. A patch-based image classification by integrating hyperspectral data with GIS. Int J Remote Sens, 2006, 27(15): 3337–3346

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiang Liu.

Additional information

Supported by the National Basic Research Program of China (Grant No. 2009CB723902), and the National High-Tech Research & Development Program of China (Grant No. 2007AA12Z138)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, X., Zhang, B., Gao, L. et al. A maximum noise fraction transform with improved noise estimation for hyperspectral images. Sci. China Ser. F-Inf. Sci. 52, 1578–1587 (2009). https://doi.org/10.1007/s11432-009-0156-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11432-009-0156-z

Keywords

Navigation