Discussion on the effect of ink layer thickness on color rendering effect (4)

4. Inter-color pigment mixing

When two kinds of inter-color pigments are mixed, with the difference of the concentration (thickness) of the color pigments, the color presented changes greatly. Putting the ideal red filter and green filter together, when 1 unit of white light is incident, as the thickness of the filter changes, it will show different colors. The color rendering process is shown in Figure 4, the expression is as follows:

â‘  1 unit thick red filter and 1 unit thick green filter are superimposed:
{(Y) + (M)} + {(Y) + (C)} = 2 (Y) + (M) + (C) → (Bk) black


â‘¡ Red filter of unit thickness and green filter of unit thickness are superposed:
{1/2 (Y) +1/2 (M)} + {1/2 (Y) +1/2 (C)} = (Y) +1/2 (M) +1/2 (C) → 1/2 (Y) yellow

â‘¢ Unit red filter and unit green filter are superimposed:
{1/4 (Y) +1/4 (M)} + {1/4 (Y) +1/4 (C)} = 1/2 (Y) +1/4 (M) +1/4 ( C) → 1/4 (Y) +1/2 (W) light yellow

The color mixture of intermediate colors is darker. When the concentration (thickness) of the colorant is large, it appears black, and the saturation is 0. As the concentration (thickness) decreases, the color gradually appears, the brightness becomes larger, and the saturation increases rapidly After reaching a certain level, it gradually decreases.

Figure Inter-color pigment mixed color

5. Mixing of intermediate and primary colors

Intermediate colors and complementary colors are mixed to exhibit achromatic colors, while intercolor and non-complementary primary colors are mixed to form a more complex phenomenon. Taking the ideal red filter and yellow filter as an example, when 1 unit of white light is incident, the color rendering process is shown in Figure 5, and the expression is as follows:

a) 1 unit thick red filter and 1 unit thick yellow filter are superimposed:
{(Y) + (M)} + (Y) = 2 (Y) + (M) → (R) red

b) A unit thickness of red filter and a unit thickness of yellow filter are superimposed:
{1/2 (Y) +1/2 (M)} + 1/2 (Y) = (Y) +1/2 (M) → 1/2 (R) +1/2 (Y) red and yellow

c) Red filter of unit thickness and yellow filter of unit thickness overlap:
{1/4 (Y) +1/4 (M)} + 1/4 (Y) = 1/2 (Y) +1/4 (M) → 1/4 (R) +1/4 (Y) +1/2 (W) light red yellow

Intermediate colors are mixed with non-complementary primary colorants. With the difference in density (thickness), not only the brightness and saturation change, but also the hue changes. When the concentration (thickness) of the mixed colorant is large, the intermediate colors appear. Hue, when the density (thickness) decreases, becomes a mixed hue of intermediate and primary colors.


Figure Inter-color and non-complementary primary colors are mixed

Conclusion

In summary, for the same ink, the color properties of the ink layer may change when the thickness of the ink layer changes. The effect of the change in the thickness of the ink layer on the color rendering effect of the primary, intermediate, and multi-color inks is also different. Especially for the same color mixture, when the thickness changes, there will be a change in hue, brightness, and saturation, that is, the phenomenon of inter-color mixing. In the same way, for a certain inter-color mixed color sample (the thickness of the ink layer is unchanged), when the brightness of the lighting source changes, there will also be changes in hue, lightness, and saturation. It has certain guiding significance.

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