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Our objective is to design a set of dither matrices for the primary colors of a printer, cyan, magenta, yellow, and black. The design is such that we will use spatially distributed cyan, magenta, and yellow dots in highlight regions, avoiding putting down cyan, magenta, and yellow dots at the same location or using black dots. This will reduce the halftone texture in highlight regions and improve the sharpness of the rendered halftone images.

The following image shows the result of rendering light gray using super smooth dither with black dots (top), and using color smooth dither using cyan, magenta, yellow, and black dots (bottom). The halftone texture is less visible in the bottom image

rendering light grey using super smooth dither with black dots

using color smooth dither using cyan, magenta, yellow, and black dots

References

Q. Lin and J. Allebach, "Color FM screen design using DBS algorithm",  Proceedings, SPIE Electronic Imaging Conference: Color Imaging: Device-Independent Color, Color Hardcopy and Graphic Arts III, vol. 3300, pp. 353-361, January 1998.
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