OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 41, Iss. 23 — Aug. 10, 2002
  • pp: 4840–4847

Nonlinear estimation of spectral reflectance based on Gaussian mixture distribution for color image reproduction

Yuri Murakami, Takashi Obi, Masahiro Yamaguchi, and Nagaaki Ohyama  »View Author Affiliations

Applied Optics, Vol. 41, Issue 23, pp. 4840-4847 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (377 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Nonlinear estimation method of spectral reflectance from camera responses is proposed. The proposed method minimizes the mean square error of spectral reflectance when the reflectance can be regarded as a random sequence of Gaussian mixture distribution. In computer simulations, 168 samples of spectral reflectance from a color chart are estimated from their image signals obtained by three- and six-band cameras. It is confirmed that the proposed method improves the accuracy in comparison with the conventional Wiener estimation method.

© 2002 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.3190) Image processing : Inverse problems
(300.6550) Spectroscopy : Spectroscopy, visible
(330.1690) Vision, color, and visual optics : Color

Original Manuscript: January 15, 2002
Revised Manuscript: April 15, 2002
Published: August 10, 2002

Yuri Murakami, Takashi Obi, Masahiro Yamaguchi, and Nagaaki Ohyama, "Nonlinear estimation of spectral reflectance based on Gaussian mixture distribution for color image reproduction," Appl. Opt. 41, 4840-4847 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Y. Ohya, T. Obi, M. Yamaguchi, N. Ohyama, Y. Komiya, “Natural color reproduction of human skin for telemedicine,” in Medical Imaging 1998: Image Display, Y. Kim, S. K. Mun, eds. Proc. SPIE3335, 263–270 (1998). [CrossRef]
  2. H. Haneishi, T. Hasegawa, A. Hosoi, Y. Yokoyama, N. Tsumura, Y. Miyake, “System design for accurately estimating spectral reflectance of art paintings,” Appl. Opt. 39, 6621–6632 (2000). [CrossRef]
  3. Th. Keusen, “Multispectral color system with an encoding format compatible with the conventional tristimulus model,” J. Imaging Sci. Technol. 40, 510–515 (1996).
  4. F. Koenig, “Reconstruction of natural spectra from color sensor using nonlinear estimation methods,” in Proceedings of IS&T’s 50th Annual Conference: A Celebration of All Imaging, (The Society for Imaging Science and Technology, Springfield, Va., 1997), pp. 454–458.
  5. N. Tsumura, H. Sato, T. Hasegawa, H. Haneishi, Y. Miyake, “Limitation of color samples for spectral estimation from sensor responses in fine art painting,” Opt. Rev. 6, 57–61 (1999). [CrossRef]
  6. F. H. Imai, R. S. Berns, Di-Y. Tzeng, “A comparative analysis of spectral reflecntace estimated in various spaces using a trichromatic camera system,” J. Imaging Sci. Technol. 44, 280–287 (2000).
  7. W. Menke, “Geophysical Data Analysis: Discrete Inverse Theory,” (Academic Press, Inc., San Diego, Calif., 1989), pp. 92–99.
  8. J. MacQueen, “Some methods for classification and analysis of multivariate observations,” in Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability, (University of California Press, Berkeley, 1967) Vol. 1, pp. 281–297.
  9. H. Akaike, “Factor analysis and AIC,” Psychometrika, 52, 317–332 (1987). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited