Skip to main content
Top
Published in:

01-07-2022

Spectral decomposition of black coated fabrics to optimal feasible primaries

Authors: Razieh Jafari, Seyed Hossein Amirshahi

Published in: Journal of Coatings Technology and Research | Issue 6/2022

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, the reflectance spectra of a series of black coated fabrics were decomposed to a limited number of feasible spectra that could be collected as optimal primaries. In fact, the possibility of finding the optimal feasible vectors with the capability of matching the spectral space of black samples was investigated. In this way, the application of non-negative matrix factorization (NNMF) method was examined on spectral dataset of 363 black coated fabrics to derive the non-negative basis functions. The extracted primaries were then employed for spectral matching of black samples where, one to three non-negative spectra were employed as optimal colorants. Results showed that both the spectral and colorimetric reconstruction errors decreased by increasing the number of primaries while applying of 3 non-negative feasible bases could mimic the spectral behaviors of black samples well. Besides, the role of chromatic primaries in two and three bases system was found very important due to better replication of reflectance spectra that matches the tint effect of blacks.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Kihara, M, Yoshizawa, I, Murakami, M, Asano, CM, Asano, A, Fujimoto, T, “The Determination of Pure Blackness of the Fabric in Women’s Formal Dresses.” Presented at the 6th Asian Textile Conference, Hong Kong, pp. 265–270, 2001 Kihara, M, Yoshizawa, I, Murakami, M, Asano, CM, Asano, A, Fujimoto, T, “The Determination of Pure Blackness of the Fabric in Women’s Formal Dresses.” Presented at the 6th Asian Textile Conference, Hong Kong, pp. 265–270, 2001
2.
go back to reference Asano, CM, Asano, A, Murakami, M, Mori, M, Fujimoto, T, “A Novel Evaluation Method of Visual Impression of Black Fabrics.” Presented at the Asian Design International Conference, Chiba, p. G-47, 2003 Asano, CM, Asano, A, Murakami, M, Mori, M, Fujimoto, T, “A Novel Evaluation Method of Visual Impression of Black Fabrics.” Presented at the Asian Design International Conference, Chiba, p. G-47, 2003
3.
go back to reference Asano, CM, Hirakawa, S, Asano, A, “Exploration of Image Features for Describing Visual Impressions of Black Fabrics.” Presented at KES 2004, Wellington, pp. 765–763, 2004 Asano, CM, Hirakawa, S, Asano, A, “Exploration of Image Features for Describing Visual Impressions of Black Fabrics.” Presented at KES 2004, Wellington, pp. 765–763, 2004
4.
go back to reference Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Colorimetric Analysis of Black Coated Fabrics.” J. Coat. Technol. Res., 13 (5) 871–882 (2016)CrossRef Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Colorimetric Analysis of Black Coated Fabrics.” J. Coat. Technol. Res., 13 (5) 871–882 (2016)CrossRef
5.
go back to reference Westland, S, Cheung, TLV, Lozman, OR, “A Metric for Predicting Perceptual Blackness.” Presented at the 14th Color Imaging Conference Final Program and Proceedings, Arizona, pp. 14–17, 2006. Westland, S, Cheung, TLV, Lozman, OR, “A Metric for Predicting Perceptual Blackness.” Presented at the 14th Color Imaging Conference Final Program and Proceedings, Arizona, pp. 14–17, 2006.
6.
go back to reference Haslup, JRC, Shamey, R, Hinks, D, “The Effect of Hue on the Perception of Blackness Using Munsell Samples.” Color Res. Appl., 38 423–428 (2013) Haslup, JRC, Shamey, R, Hinks, D, “The Effect of Hue on the Perception of Blackness Using Munsell Samples.” Color Res. Appl., 38 423–428 (2013)
7.
go back to reference Clonts, JR, Shamey, R, Hinks, D, “Effect of Colorimetric Attributes on Perceived Blackness of Materials.” Presented at the 4th European Conference on Colour in Graphics, Imaging, and Vision, Finland, pp. 83–87, 2010 Clonts, JR, Shamey, R, Hinks, D, “Effect of Colorimetric Attributes on Perceived Blackness of Materials.” Presented at the 4th European Conference on Colour in Graphics, Imaging, and Vision, Finland, pp. 83–87, 2010
8.
go back to reference Jafari, R, Ameri, F, Khalili, N, “Effect of the Type of Illumination on Perceived Blackness of Automotive Finishes.” J. Coat. Technol. Res., 13 133–141 (2016)CrossRef Jafari, R, Ameri, F, Khalili, N, “Effect of the Type of Illumination on Perceived Blackness of Automotive Finishes.” J. Coat. Technol. Res., 13 133–141 (2016)CrossRef
9.
go back to reference Jafari, R, Ameri, F, “Effect of Orange Peel Attribute of Automotive Finishes on Their Blackness Perception.” J. Coat. Technol. Res., 15 (5) 1003–1011 (2018)CrossRef Jafari, R, Ameri, F, “Effect of Orange Peel Attribute of Automotive Finishes on Their Blackness Perception.” J. Coat. Technol. Res., 15 (5) 1003–1011 (2018)CrossRef
10.
go back to reference Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Spectral Analysis of Blacks.” Color Res. Appl., 37 176–185 (2012)CrossRef Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Spectral Analysis of Blacks.” Color Res. Appl., 37 176–185 (2012)CrossRef
11.
go back to reference Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Determination of Spectral Dimensions of Munsell Neutral Samples.” Presented at the AIC 2011 Midterm Meeting, Zurich, pp. 447–450, 2011 Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Determination of Spectral Dimensions of Munsell Neutral Samples.” Presented at the AIC 2011 Midterm Meeting, Zurich, pp. 447–450, 2011
12.
go back to reference Jafari, R, Amirshahi, SH, “Spectral Reconstruction of Blacks and Whites by Using the Statistical Colorants.” Prog. Color Colorants Coat., 8 135–144 (2015) Jafari, R, Amirshahi, SH, “Spectral Reconstruction of Blacks and Whites by Using the Statistical Colorants.” Prog. Color Colorants Coat., 8 135–144 (2015)
13.
go back to reference Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Blacks Colorimetric Boundaries Based on the Perceived Blackness,” Presented at the 12th Congress of the International Color Association, AIC Color 2013, Newcastle, pp. 503–506, 2013 Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Blacks Colorimetric Boundaries Based on the Perceived Blackness,” Presented at the 12th Congress of the International Color Association, AIC Color 2013, Newcastle, pp. 503–506, 2013
14.
go back to reference Tao, L, Westland, S, Cheung, V, “Blackness: Preference and Perception (Hue).” Presented at the 19th IS&T/SID Color and Imaging Conference, San Jose, pp. 270–275, 2011 Tao, L, Westland, S, Cheung, V, “Blackness: Preference and Perception (Hue).” Presented at the 19th IS&T/SID Color and Imaging Conference, San Jose, pp. 270–275, 2011
15.
go back to reference Tao, L, Westland, S, Cheung, V, “Blackness: Preference and Perception (Value and Chroma).” Presented at the 6th European Conference on Colour in Graphics, Imaging, and Vision, Amsterdam, pp. 253–258, 2012 Tao, L, Westland, S, Cheung, V, “Blackness: Preference and Perception (Value and Chroma).” Presented at the 6th European Conference on Colour in Graphics, Imaging, and Vision, Amsterdam, pp. 253–258, 2012
16.
go back to reference Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Effect of Lightness on Blackness Preference of Black Fabrics.” Prog. Color Colorants Coat., 8 11–24 (2015) Jafari, R, Amirshahi, SH, Hosseini Ravandi, SA, “Effect of Lightness on Blackness Preference of Black Fabrics.” Prog. Color Colorants Coat., 8 11–24 (2015)
17.
go back to reference Jolliffe, IT, Principal Component Analysis, 2nd edn. Springer-Verlag, New York (2002) Jolliffe, IT, Principal Component Analysis, 2nd edn. Springer-Verlag, New York (2002)
18.
go back to reference Romney, AK, Indow, T, “Munsell Reflectance Spectra Represented in Three Dimensional Euclidean Space.” Color Res. Appl., 28 182–196 (2003)CrossRef Romney, AK, Indow, T, “Munsell Reflectance Spectra Represented in Three Dimensional Euclidean Space.” Color Res. Appl., 28 182–196 (2003)CrossRef
19.
go back to reference Fairman, HS, Brill, MH, “The Principal Components of Reflectances.” Color Res. Appl., 29 104–110 (2004)CrossRef Fairman, HS, Brill, MH, “The Principal Components of Reflectances.” Color Res. Appl., 29 104–110 (2004)CrossRef
20.
go back to reference Tzeng, DY, Berns, RS, “A Review of Principal Component Analysis and Its Application to Color Technology.” Color Res. Appl., 30 84–98 (2005)CrossRef Tzeng, DY, Berns, RS, “A Review of Principal Component Analysis and Its Application to Color Technology.” Color Res. Appl., 30 84–98 (2005)CrossRef
21.
go back to reference Berns, RS, “A Generic Approach to Color Modeling.” Color Res. Appl., 22 318–325 (1997)CrossRef Berns, RS, “A Generic Approach to Color Modeling.” Color Res. Appl., 22 318–325 (1997)CrossRef
22.
go back to reference Tzeng, DY, Berns, RS, “Spectral-Based Ink Selection for Multiple-Ink Printing I. Colorant Estimation of Original Objects.” Presented at the 6th Color Imaging Conference: Color Science, Systems, and Applications, pp. 106–111, 1998 Tzeng, DY, Berns, RS, “Spectral-Based Ink Selection for Multiple-Ink Printing I. Colorant Estimation of Original Objects.” Presented at the 6th Color Imaging Conference: Color Science, Systems, and Applications, pp. 106–111, 1998
23.
go back to reference Lee, DD, Seung, HS, “Learning the Parts of Objects by Non-Negative Matrix Factorization.” Nature, 401 788–791 (1999)CrossRef Lee, DD, Seung, HS, “Learning the Parts of Objects by Non-Negative Matrix Factorization.” Nature, 401 788–791 (1999)CrossRef
24.
go back to reference Berry, MW, Browne, M, Langville, AN, Pauca, VP, Plemmons, RJ, “Algorithms and Applications for Approximate Nonnegative Matrix Factorization.” Comput. Stat. Data Anal., 52 155–173 (2007)CrossRef Berry, MW, Browne, M, Langville, AN, Pauca, VP, Plemmons, RJ, “Algorithms and Applications for Approximate Nonnegative Matrix Factorization.” Comput. Stat. Data Anal., 52 155–173 (2007)CrossRef
26.
go back to reference Amirshahi, SH, Amirshahi, SA, “Adaptive Non-Negative Bases for Reconstruction of Spectral Data from Colorimetric Information.” Opt. Rev., 17 (6) 562–569 (2010)CrossRef Amirshahi, SH, Amirshahi, SA, “Adaptive Non-Negative Bases for Reconstruction of Spectral Data from Colorimetric Information.” Opt. Rev., 17 (6) 562–569 (2010)CrossRef
27.
go back to reference Farajikhah, S, Amirshahi, SH, “Initialization of Nonnegative Matrix Factorization by Gaussian Primaries for Reconstruction of Spectral Data.” Opt. Rev., 19 (5) 294–305 (2012)CrossRef Farajikhah, S, Amirshahi, SH, “Initialization of Nonnegative Matrix Factorization by Gaussian Primaries for Reconstruction of Spectral Data.” Opt. Rev., 19 (5) 294–305 (2012)CrossRef
Metadata
Title
Spectral decomposition of black coated fabrics to optimal feasible primaries
Authors
Razieh Jafari
Seyed Hossein Amirshahi
Publication date
01-07-2022
Publisher
Springer US
Published in
Journal of Coatings Technology and Research / Issue 6/2022
Print ISSN: 1547-0091
Electronic ISSN: 1935-3804
DOI
https://doi.org/10.1007/s11998-022-00635-9

Other articles of this Issue 6/2022

Journal of Coatings Technology and Research 6/2022 Go to the issue

Premium Partners