Dear Alireza
Try: Computational Colour Science Using MATLAB, 2nd Edition, http://eu.wiley.com/WileyCDA/WileyTitle/productCd-0470665696.html
Chapter 7 contains a comprehensive discussion of Physiological Colour Spaces, including DKL. Disclosure: Dr Caterina (Katia) Ripamonti is the author of Chapter 7 and is one of our Staff Scientists. Katia covered DKL during our series of free technical seminars last year. Information about the seminars and the Course Notes available from: http://www.crsltd.com/course-notes/
And:
Brainard, D. H. (1996). Cone contrast and opponent modulation color spaces. In Kaiser and Boynton, Human Color Vision, 2cd edition, Optical Society of America, Washington, DC. http://color.psych.upenn.edu/brainard/papers/Brainard32.pdf But note important errata: 1) On page 571, the expression for Ws-lum,s provided on the top line of the page should not have a leading negative sign. 2) Also on page 571, the row 1 column 3 entry of the matrix given in A.4.8 should be 0, not 1.
P. Capilla, J.Malo, M.J.Luque, J.M.Artigas. Colour representation spaces at different physiological levels: a comparative analysis. Journal of Optics. Vol. 29, pp.324-338 (1998). http://www.uv.es/vista/vistavalencia/papers/JOPT98.PS.gz
As a general point, you need the Spectral Power Distribution of your display device before you can convert from DKL to RGB. To make that measurement you need a spectroradiometer.
Regards
Steve
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d opponent modulation color spa