Spectral Reconstruction of Blacks and Whites by Using the Statistical Colorants

Journal: Vol.8, No.2, Spring 2015 - Article 4   Pages :  135 Until 144

Article Code:

R. Jafari: Institute for Color Science and Technology - Department of Color Physics
Seyed Hossein Amirshahi: Amirkabir University of Technology - Department of Textile Engineering

Article's abstract:

In this paper, the spectral dimensions of two sets of samples including 457 black and 84 white fabrics are compared. White fabrics are treated with variety of fluorescent whitening agents and the blacks are fabrics that dyed with different combinations of suitable dyes and pigments. In this way, the reflectance spectra of blacks as well as the total radiance factors of whites are compressed in one to five compressed spaces using the principal component analyzing technique. The reduced data are then reconstructed and the averages of the percentile relative root mean square errors between the actual and the recovered spectra of each dataset are calculated to show the spectral dimensionality of both groups through the analyzing of spectral errors. Besides, the colorimetric errors between the actual and the compressed-reconstructed spectra are represented by the mean values of ΔE00 color difference values under D65 illuminant and 1964 standard observer. Results show that the total radiance factors of white samples are smoother than the reflectance spectra of blacks and could be adequately described in a 2 dimensional space, while blacks need to be characterized in higher dimensions i.e., 4, to approximately provide same cumulative energy content as well as spectral and colorimetric errors.

Spectral dimensions, Blacks, Whites, Principal component analyzing technique, Statistical colorants.

1. R. McDonald, Color physics for industry, 2nd Ed, Dyers company publication trust, Bradford, 1997.#2. E. Ganz, Whiteness: photometric specification and colorimetric evaluation, J. Appl. Opt., 15(1976), 2039-2058.#3. R. Jafari, S. H. Amirshahi, S. A. Hosseini Ravandi, Determination of spectral dimensions of Munsell neutral samples, in Proceeding of AIC 2011 midterm meeting, Zurich, Switzerland, (2011), 447-450.#4. R. Jafari, S. H. Amirshahi, S. A. Hosseini Ravandi, Spectral analysis of blacks, J. Color Res. Appl., 37(2012), 176-185.#5. R. Jafari, S. H. Amirshahi, S. A. Hosseini Ravandi, Effect of lightness on blackness preference of black fabrics, J. Prog. Color Colorants Coat., 8(2015), 11-24.#6. S. H. Amirshahi, F. Agahian, Basis function of the total radiance factor of fluorescent whitening agents, Text. Res. J., 76(2006), 197-207.#7. S. Westland, T. L. V. Cheung, O. R. Lozman, A metric for predicting perceptual blackness, in Proceeding of the 14th Color Imaging Conference Final Program and Proceedings, Society for Imaging Science and Technology, Arizona, (2006), 14-17.#8. J. R. Clonts Haslup, R. Shamey, D. Hinks, The effect of hue on the perception of blackness using Munsell samples, Color Res. Appl., 38(2013), 423-428.#9. R. Jafari, S. H. Amirshahi, S .A. Hosseini Ravandi, Blacks colorimetric boundaries based on the perceived blackness, in Proceeding of the 12th Congress of the International Color Association, AIC Color 2013, Newcastle, United Kingdom, (2013), 503-506.#10. H. Uchida, A new whiteness formula, J. Color Res. Appl., 23(1998), 202-209.#11. R. Jafari, S. H. Amirshahi, A comparison of the CIE and Uchida whiteness formulae as predictor of average visual whiteness evaluation of textiles, Text. Res. J., 77(2007), 756-763.#12. R. Jafari, S. H. Amirshahi, Variation in the decisions of observers regarding the ordering of white samples, Society of Dyers and Colourists, Color. Technol., 124(2008), 127-131.#13. L. Tao, Impact of blackness preference and perception on product design, PhD thesis, University of Leeds, England, 2013.#14. J. R. Clonts Haslup, The perception of blackness and the foundations of a blackness index, PhD thesis, North Carolina State University, USA, 2011.#15. L. T. Maloney, Evaluation of linear models of surface spectral reflectance with small numbers of parameters, J. Opt. Soc. Am. A., 3(1986), 1673-1683.#16. I. T. Jolliffe, Principal component analysis, 2nd Ed, Springer-Verlag, New York, 2002.#17. A. K. Romney, T. Indow, Munsell reflectance spectra represented in three dimensional Euclidean space, J. Color Res. Appl., 28(2003), 182-196.#18. H. S. Fairman, M. H. Brill, The principal components of reflectances, J. Color Res. Appl., 29(2004), 104-110.#19. D. Y. Tzeng, R. S. Berns, A review of principal component analysis and its application to color technology, J. Color Res. Appl., 30(2005), 84-98.#20. D. Y. Tzeng, R. S. Berns, Spectral-based ink selection for multiple-ink printing I. colorant estimation of original objects, in Proceedings of the 6th Color Image Conference, Springfield, VA: IS&T; (1998), 106-111.#21. J. Y. Hardeberg, On the spectral dimensionality of object colours, in Proceedings of the 1st European Conference on Color in Graphics, Image and Vision, CGIV2002, Poitiers, France, IS&T, (2002), 480-485.

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