Skip to main content

Finding Endmembers in Hyperspectral Imagery

  • Chapter
  • First Online:
Real-Time Progressive Hyperspectral Image Processing
  • 1356 Accesses

Abstract

Endmembers, defined as pure signatures, can be used to specify distinct spectral classes of interest in the data, thus providing crucial information in hyperspectral data exploitation. Technically speaking, an endmember is generally considered as a calibrated spectral signature in a data base or spectral library and is not necessarily to be a real data sample vector. If an endmember occurs as a real data sample vector or a pixel vector, it is referred to as an endmember sample vector or endmember pixel vector. Unfortunately, because of inevitable physical effects during data acquisition, it is often the case that pure sample vectors are nearly impossible to be found in a real data set in which case no endmembers can be extracted from the data set. So, using endmember extraction as a general terminology in hyperspectral image analysis is misleading. To address this issue, this chapter adopts the terminology of endmember finding to reflect more accurately what an algorithm is designed to accomplish and further explores various tasks that can be performed on finding endmembers.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Boardman, J.W. 1994. Geometric mixture analysis of imaging spectrometry data. In International geoscience remote sensing symposium, vol. 4, 2369–2371.

    Google Scholar 

  • Chan, T.H., W.-K. Ma, C.-Y. Chi et al. 2009. Hyperspectral unmixing from a convex analysis and optimization perspective. First Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, WHISPERS ‘09.

    Google Scholar 

  • Chang, C.-I 1999. Least squares error theory for linear mixing problems with mixed pixel classification for hyperspectral imagery. Recent research developments in optical engineering, ed. S.G. Pandalai, vol. 2, 241–268, Trivandrum, Kerala: Research Signpost, India.

    Google Scholar 

  • Chang, C.-I 2003. Hyperspectral imaging: techniques for spectral detection and classification. New York: Kluwer Academic/Plenum Publishers.

    Google Scholar 

  • Chang, C.-I 2012. A unified theory for virtual dimensionality of hyperspectral imagery. Proceedings of Conference High-Performance Computing in Remote Sensing, SPIE 8539, Edinburgh United Kingdom, September 24–27.

    Google Scholar 

  • Chang, C.-I 2013. Hyperspectral data processing: algorithm design and analysis. New Jersey: Wiley. 2013.

    Google Scholar 

  • Chang, C.-I 2016. Recursive hyperspectral sample and band processing: algorithm architecture and implementation. New York: Springer.

    Google Scholar 

  • Chang, C.-I, and Q. Du. 2004. Estimation of number of spectrally distinct signal sources in hyperspectral imagery. IEEE Transactions on Geoscience and Remote Sensing 42(3):608–619.

    Google Scholar 

  • Chang, C.-I, and A. Plaza. 2006. Fast iterative algorithm for implementation of pixel purity index. IEEE Geoscience and Remote Sensing Letters 3(1):63–67.

    Google Scholar 

  • Chang, C.-I, Q. Du, T.S. Sun, and M.L.G. Althouse. 1999. A joint band prioritization and band decorrelation approach to band selection for hyperspectral image classification. IEEE Transactions on Geoscience and Remote Sensing 37(6):2631–2641.

    Google Scholar 

  • Chang, C.-I, C.C. Wu, W. Liu, and Y.C. Ouyang. 2006. A growing method for simplex-based endmember extraction algorithms. IEEE Transactions on Geoscience and Remote Sensing 44(10):2804–2819.

    Google Scholar 

  • Chang, C.-I, S. Chakravarty, H. Chen and Y.C. Ouyang. 2009. “Spectral derivative feature coding for hyperspectral signature,” Pattern Recognition, vol. 42, no. 3, 395–408, March 2009.

    Google Scholar 

  • Chang, C.-I, S. Chakravarty, and C.-S. Lo. 2010. Spectral feature probabilistic coding for hyperspectral signatures. IEEE Sensors Journal 10(3):395–409.

    Google Scholar 

  • Chang, C.-I, C.H. Wen, and C.C. Wu. 2013. Relationship exploration among PPI, ATGP and VCA via theoretical analysis. International Journal of Computational Science and Engineering 8(4):361–367.

    Google Scholar 

  • Chang, C.-I, W. Xiong and S.Y. Chen. 2016. Convex cone volume analysis for finding endmembers in hyperspectral imagery. International Journal of Computational Science and Engineering (to appear).

    Google Scholar 

  • Craig, M.D. 1994. Minimum-volume transforms for remotely sensed data. IEEE Transactions on Geoscience Remote Sensing 32(3): 542–552.

    Article  Google Scholar 

  • Duda, R.O., and P.E. Hart. 1973. Pattern classification and scene analysis. New York: Wiley.

    Google Scholar 

  • Green, A.A., M. Berman, P. Switzer, and M.D. Craig. 1988. A transformation for ordering multispectral data in terms of image quality with implications for noise removal. IEEE Transactions on Geosciences and Remote Sensing 26:65–74.

    Google Scholar 

  • Ifarragaerri, A., and C.-I Chang. 1999. Hyperspectral image segmentation with convex cones. IEEE Transactions on Geoscience and Remote Sensing 37(2):756–770.

    Google Scholar 

  • Lee, D.D., and N.S. Seung. 1999. Learning the parts of objects by non-negative matrix factorization. Science 401:788–791 (vol. 21).

    Google Scholar 

  • Lee, J.B., A.S. Woodyatt, and M. Berman. 1990. Enhancement of high spectral resolution remote sensing data by a noise-adjusted principal components transform. IEEE Transactions on Geoscience and Remote Sensing 28(3):295–304.

    Google Scholar 

  • Li, H.C., and C.-I Chang. 2015a. An orthogonal projection approach to simplex growing algorithm for finding endmembers in hyperspectral imagery. 7th Workshop on hyperspectral image and signal processing: evolution in remote sensing, (WHISPERS), Tokyo, Japan, June 2–5, 2015.

    Google Scholar 

  • Li, H.C., and C.-I Chang. 2015b. Linear spectral unmixing using least squares error, orthogonal projection and simplex volume for hyperspectral Images. 7th Workshop on hyperspectral image and signal processing: evolution in remote sensing, (WHISPERS), Tokyo, Japan, June 2–5, 2015.

    Google Scholar 

  • Li, H.C., M. Song, and C.-I Chang. 2015a. Simplex volume analysis for finding endmembers in hyperspectral imagery. Satellite data compression, communication and processing XI (ST127), SPIE international symposium on SPIE sensing technology + applications, Baltimore, MD, April 20–24, 2015.

    Google Scholar 

  • Li, H.C., Y. Li, C. Gao, C.-I Chang, and M. Song. 2015b. Progressive band processing of orthogonal subspace projection. Satellite data compression, communication and processing XI (ST127), SPIE international symposium on SPIE sensing technology + applications, Baltimore, MD, April 20–24, 2015.

    Google Scholar 

  • Lopez, S.P. Horstrand, G.M. Callico, J.F. Lopez, and R. Sarmiento. 2012a. A low-computational-complexity algorithm for hyperspectral endmember extraction: modified vertex component analysis. IEEE Geoscience and Remote Sensing Letters 9(3): 502–506.

    Article  Google Scholar 

  • Lopez, S.P. Horstrand, G.M. Callico, J.F. Lopez, and R. Sarmiento. 2012b. A novel architecture for hyperspectral endmember extraction by means of the modified vertex component analysis (MVCA) algorithm. IEEE Journal of Selected Topics in Applied Earth Observation and Remote Sensing 5(6): 1837–1848.

    Article  Google Scholar 

  • Miao, L., and H. Qi. 2007. Endmember extraction from highly mixed data using minimum volume constrained nonnegative matrix factorization. IEEE Transactions on Geoscience and Remote Sensing 45:765–777 (vol. 3).

    Google Scholar 

  • Moon, T.K., and W.C. Stirling. 2000. Mathematical methods and algorithms for signal processing. Upper Saddle River, N.J.: Prentice-Hall.

    Google Scholar 

  • Nascimento, J.M.P., and J.M. Dias. 2005. Vertex component analysis: a fast algorithm to unmix hyperspectral data. IEEE Transactions on Geoscience and Remote Sensing 43(4):898–910.

    Google Scholar 

  • Otsu, N. 1979. A threshold selection method from gray-level histograms. IEEE Transactions on Systems, Man, and Cybernetics, Vol. SMC-9(1): 62-66.

    Google Scholar 

  • Pauca, V.P., J. Piper, and R.J. Plemmons. 2006. Nonnegative matrix factorization for spectral data analysis. Linear algebra and its applications 416(1):29–47.

    Google Scholar 

  • Ren, H., and C.-I Chang. 2003. Automatic spectral target recognition in hyperspectral imagery. IEEE Transactions on Aerospace and Electronic Systems 39(4):1232–1249.

    Google Scholar 

  • Winter, M.E. 1999a. Fast autonomous spectral endmember determination in hyperspectral data. In Proceedings of 13th international conference on applied geologic remote sensing, Vancouver, B.C., Canada, vol. II, 337–344.

    Google Scholar 

  • Winter, M.E. 1999b. N-finder: an algorithm for fast autonomous spectral endmember determination in hyperspectral data. In Image Spectrometry V, Proceedings SPIE, vol. 3753, 266–277.

    Google Scholar 

  • Wu, C.C., S. Chu and C.-I Chang. 2008. Sequential N-FINDR algorithm. SPIE Conference on Imaging Spectrometry XIII, August 10–14, San Diego, CA.

    Google Scholar 

  • Xiong, W., C.T. Tsai., C.W. Yang, and C.-I Chang. 2010. Convex cone-based endmember extraction for hyperspectral imagery. SPIE, vol. 7812, San Diego, CA, August 2–5, 2010.

    Google Scholar 

  • Xiong, W., C.-C. Wu, C.-I Chang, K. Kapalkis, and H.M. Chen. 2011. Fast algorithms to implement N-FINDR for hyperspectral endmember extraction. IEEE Journal of Selected Topics in Applied Earth Observation and Remote Sensing 4(3): 545–564.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chein-I Chang .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Chang, CI. (2016). Finding Endmembers in Hyperspectral Imagery. In: Real-Time Progressive Hyperspectral Image Processing. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6187-7_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4419-6187-7_3

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-6186-0

  • Online ISBN: 978-1-4419-6187-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics