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Sampling and local models for multivariate image analysis

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Abstract

Local models are a very important concept for microscopic and macroscopic imaging. Different methods of sub-sampling a multivariate image are described both in general and for three examples. The need for sub-sampling and its influence on multivariate image analysis and visualization are studied. Examples from MRI (256 × 256), satellite imaging (7 × 512 × 512) and biofuel studies (6 × 512 × 512) are used to illustrate some of the principles involved.

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References

  1. P. Geladi, K. Esbensen,J. Chemon. 1989,3, 419.

    Google Scholar 

  2. P. Geladi, E. Bengtsson, K. Esbensen, H. Grahn,TRAC, Trends Anal. Chem. 1992,11, 41.

    Google Scholar 

  3. L. Foucat, C. Beauvallet, J.-P. Renou,Analusis 1991,19, M18.

    Google Scholar 

  4. G. Hermann,Analusis 1991,19, M23.

    Google Scholar 

  5. P. Higer, G. Bielke (eds.)Tissue Characterization in NMR Imaging. Clinical and Technical Approaches, Springer, Berlin Heidelberg New York Tokyo, 1990.

    Google Scholar 

  6. G. Vane, A. Goetz,Remote Sens. Environ. 1993,44, 117.

    Google Scholar 

  7. Anon.Field Guide, 2nd Ed., ERDAS, Atlanta GA, 1991.

  8. R. Larsson, L. Strömquist,A Practical Approach to Satellite Image Analysis for Environmental Monitoring, Landfocus, Danderyd, Sweden, 1991.

    Google Scholar 

  9. E. Bohlin,PhD Thesis, Swedish University of Agricultural Sciences, Umeå, 1993.

    Google Scholar 

  10. P. Ready, P. Wintz,IEEE Trans. Communell. 1973,COM21, 1123.

    Google Scholar 

  11. H. Grahn, N. Szeverenyi, M. Roggenbuck, P. Geladi,Chemom. Intell. Lab. Syst. 1989,7, 87.

    Google Scholar 

  12. P. Trebbia, C. Mory,Ultramicroscopy 1990,34, 179.

    Google Scholar 

  13. P. Geladi, K. Esbensen,J. Chemom. 1991,5, 97.

    Google Scholar 

  14. K. Shettigara,Int. J. Remote Sens. 1991,12, 2153.

    Google Scholar 

  15. F. Lindgren, P. Geladi,Chemom. Intell. Lab. Syst. 1992,14, 397.

    Google Scholar 

  16. F. Lindgren, P. Geladi, S. Wold,J. Chemom. 1994,8, 377.

    Google Scholar 

  17. R. Johnson, D. Wichern,Applied Multivariate Statistical Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1982.

    Google Scholar 

  18. G. Golub, C. Van Loan,Matrix Computations, 2nd Ed., Johns Hopkins University Press, Baltimore, 1989.

    Google Scholar 

  19. I. Joliffe,Principal Component Analysis, Springer, Berlin Heidelberg New York, Tokyo, 1986.

    Google Scholar 

  20. J. Jackson,A User's Guide to Principal Components, Wiley New York, 1991.

    Google Scholar 

  21. P. Geladi, H. Isaksson, L. Lindqvist, S. Wold, K. Esbensen,Chemom. Intell. Lab. Syst. 1989,5, 209.

    Google Scholar 

  22. K. Esbensen, P. Geladi,Chemom. Intell. Lab. Syst. 1989,7, 67.

    Google Scholar 

  23. P. Geladi, H. Grahn, K. Esbensen, E. Bengtsson,TRAC, Trends Anal. Chem. 1992,11, 121.

    Google Scholar 

  24. P. Van Espen, G. Janssens, W. Vanhoolst, P. Geladi,Analusis,1992,20, 81.

    Google Scholar 

  25. F. Pedersen,PhD Thesis, Uppsala University, 1994.

  26. J.-Å. Persson, E. Johansson, C. Albano,Anal. Chem. 1986,58, 1173.

    Google Scholar 

  27. B. Nordén, C. Albano,Fuel 1989,68, 771.

    Google Scholar 

  28. E. Johansson, J.-Å. Persson, C. Albano,Fuel 1987,66, 22.

    Google Scholar 

  29. B. Nordén, E. Bohlin, M. Nilsson, Å. Albano, C. Röckner,Soil Sci 1992,153, 382.

    Google Scholar 

  30. Dolph's Charleston, South Carolina, Gouscha, New York, 1992.

  31. P. Geladi, J. Swerts, F. Lindgren,Chemom. Intell. Lab. Syst. 1994,24, 145.

    Google Scholar 

  32. P. Geladi, C. Albano, K. Esbensen,Proc. Symp. Appl. Stat. Copenhagen, January 22–24, 1990, p. 345.

  33. P. Williams, R. Warwick, M. Dyson, L. Bannister (eds.),Gray's Anatomy, 37th Ed., Churchill Livingstone, Edinburgh, 1989.

    Google Scholar 

  34. H. Grahn, N. Szeverenyi, M. Roggenbuck, F. Delaglio, P. Geladi,Chemom. Intell. Lab. Syst. 1989,5, 311.

    Google Scholar 

  35. D. Bright, S. Newbury,Anal. Chem. 1992,63, 243A.

    Google Scholar 

  36. M. Monmonier,How to Lie with Maps, University of Chicago Press, Chicago, 1991.

    Google Scholar 

  37. R. Cattell,Mult. Behav. Res. 1986,1, 245.

    Google Scholar 

  38. N. Faber, L. Buydens, G. Kateman,J. Chemom. 1993,7, 495.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Chemistry, Umeå University, S-901 87, Umeå, Sweden

    Paul Geladi

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  1. Paul Geladi
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Geladi, P. Sampling and local models for multivariate image analysis. Mikrochim Acta 120, 211–230 (1995). https://doi.org/10.1007/BF01244433

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  • DOI: https://doi.org/10.1007/BF01244433

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