Some suggestions are presented in this paper for optimizing color matching in blends of pre-colored fibers. The proposed algorithm suggests an initial spectrophotometric trial for color matching with all selected colored fibers. If the initial spectrophotometric match does not satisfy the colorimetric conditions, the data will be applied in a later colorimetric attempt. In that attempt, by applying the pseudoinverse algorithm in the iterative process, it is not necessary to limit the number of colored fibers to four, as Allen suggested for the two-constant theory.
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References
1.
Allen, E., Basic Equations Used in Computer Color Matching, II-Tristimulus Matching, Two Constant Theory, J. Opt. Soc. Am.64 (7), 991-993 (1974).
2.
Amirshahi, S.H. , and Pailthorpe, M.T., Applying the Kubelka-Munk Equation to Explain the Color of Blends Prepared from Precotored Fibers, Textile Res. J.64, 357-364 (1994).
3.
Best, R., Computer Match Prediction—Pigments, in "Colour Physics for Industry ," R. McDonald, Ed., Dyers' Company Publications Trust, Bradford, U.K., 1987, pp. 205-206.
4.
Burlone, D.A. , Formulation of Blends of Precolored Nylon Fiber, Color Res. Appl. J.8 (2), 114-120 (1983).
5.
Burlone, D.A. , Theoretical and PracticalAspects of Selected Fiber-Blend Color Formulation Functions, Color Res. Appl. J.9 (4), 213-219 (1984).
6.
Burlone, D.A. , Effect of Fiber Translucency on the Color of Blends of Precolored Fibers, Textile Res. J.60, 162-167(1990).
7.
Gill, P.E., Murray, W., and Wright, M.H., "Numerical Linear Algebra and Optimization," Addison-Westey , Redwood, CA, 1991, pp. 170-171.
8.
Holdaway, H.W. , MatrixPartitioning Applied to Colorant Formulation with Four or More Dyes, Color Res. Appl. J.5 (2), 93-98 (1980).
9.
MATLAB (1992), The MatWork Inc., Version 3.5.
10.
McGinnis, P.H. , Spectrophotometric Color Matching with the Least Squares Technique, Color Eng.5 (6), 22-27(1967).
11.
Sluban, B., Comparison of Colorimetric and Spectrophotometric Algorithms for Computer Matching Prediction, Color Res. Appl. J. 18 (2), 74-79 (1993).
12.
Strang, G., "Linear Algebra and Its Applications," Academic Press, NY, 1974, pp. 130-138.
13.
Walowit, E. , McCarthy, C.J., and Berns, R.S., An Algorithm For the Optimization of Kubelka-Munk Absorption and Scattering Coefficients, Color Res. Appl. J.12 (6), 340-343 (1987).
14.
Walowit, E. , McCarthy, C.J., and Berns, R.S., Spectrophotometric Color Matching Based on Two-Constant Kubelka-Munk Theory, Color Res. Appl. J. 13 (6), 358-362( 1988).
