Abstract
The accurate transformation of device responses to tristimulus values is important at an early stage in color management and this transformation is usually called color correction. In this paper it is shown that the influence of noise on color correction can be suppressed if the square of the singular values by the singular value decomposition (SVD) of a sensor matrix represented by surface reflectance, SLVA1/2, is larger than the noise variance, where S is the M × N matrix of M channel spectral sensitivities, L is the N × N diagonal matrix for an recording illuminant, V is the N × N matrix which is composed of eigenvectors of an autocorrelation matrix for spectral reflectance of samples, A is the N × N diagonal matrix with eigenvalues of the autocorrelation matrix along the diagonal and N is the number of the dimension, respectively. A method to suppress the influence of noise on color correction by spectral sensitivities of sensors is presented for the first time.
Similar content being viewed by others
References
P. S. Hung: Proc. SPIE 1448 (1991) 164.
N. Shimano: J. Inst. Image Electron. Eng. Jpn. 24 (1995) 400.
M. J. Vrhel and H. J. Trussell: IEEE Trans. Image Proc. 4 (1995) 814.
G. Sharma and H. J. Trussell: IEEE Trans. Image Proc. 6 (1997) 990.
M. J. Vrhel and H. J. Trussell: IEEE Trans. Image Proc. 3 (1994) 147.
M. Wolski, C. A. Bouman and J. P. Allebach: Proc. IEEE Int. Conf. Image Proc. ‘95 (1995) II 323.
G. Sharma, H. J. Trussell and M. J. Vrhel: IEEE Trans. Image Proc. 7 (1998) 129.
H. E. J. Neugebauer: J. Opt. Soc. Am. 46 (1956) 821.
P. L. Vora and H. J. Trussell: J. Opt. Soc. Am. A 10 (1993) 1499.
J. Cohen: Psychon. Sci. 1 (1964) 369.
L. T. Maloney: J. Opt. Soc. Am. A 3 (1986) 1673.
J. P. S. Parkkinen, J. Hallikainen and T. Jaaskelainen: J. Opt. Soc. Am. A 6 (1989) 318.
J. L. Dannemiller: J. Opt. Soc. Am. A 9 (1992) 507.
N. Shimano: Opt. Rev. 8 (2001) 71.
A. Rosenfeld and A. C. Kak: Digital Picture Processing (Academic Press, New York, 1982) p. 281.
K. Fukunaga: Statistical Pattern Recognition (Academic Press, New York, 1990) 2nd. ed., p. 13.
B. Noble and J. W. Daniel: Applied linear algebra (Prentice-Hall, New Nersey, 1988) 3rd. ed., p. 338.
W. A. Shapiro: J. Opt. Soc. Am. 56 (1992) 795.
Y. Okamoto: Gyaku Mondai to sono Tokikata (Inverse problems and methods to solve them) (Ohmsha, Tokyo, 1992) p. 180 [in Japanese].
S. R. Searle: Matrix Algebra Useful for Statistics (Wiley, New York, 1982) p. 363.
M. D. Fairchild: Color Appearance Models (Addison-Wesley, 1997) p. 199.
G. H. Golub and C. F. V. Loan: Matrix Computations (Johns Hopkins University, 1996) 3rd. ed., p. 603.
G. Sharma and H. J. Trussell: Proc. SPIE 2658 (1996) 270.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shimano, N. Suppression of Noise Effects in Color Correction by Spectral Sensitivities of Image Sensors. OPT REV 9, 81–88 (2002). https://doi.org/10.1007/s10043-002-0081-5
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10043-002-0081-5