Chapter 3 In the following, we provide some color figures that could not be reproduced in the paper version of the book. 1. Color Attributes It was mentioned in section 3.3 that there are three color attributes: brightness, hue, and saturation. Figure 3cd.1 demonstrates these three attributes. (a) (b) (c) Figure 3cd.1. Example of perceptual attributes of color. a) different brightness levels (dark to bright), b) different hues (red to violet), and c) saturation (the dark blue at the left side is highly saturated whereas the faded blue at the right side has low saturation). 2 Multimedia Signals and Systems 2. Additive Color Mixing It was mentioned in section 3.3.2 that a wide range of colors can be obtained by mixing three primary colors R, G, and B. Figure 3cd.2 shows a few composite colors by mixing the three primaries in equal amount. It is observed that mixtures of {blue, red}, {blue, green} and {red, green} produce magenta, cyan and yellow color, respectively. When all red, green and blue are mixed in equal proportion, white color is obtained. Red Ligh t Blue Light Green Light Figure 3cd.2. Primary colors can be added to obtain different composite colors. Chapter 3: Human Visual Systems and Perceptions 3 3. Subtractive Color Mixing However, when paints of two different colors are mixed, we observe a different composite color. Figure 3cd.3 shows an experiment of mixing yellow and blue paint. It is observed that the composite color is green instead of white as seen in Fig. 3cd.3(a). This phenomenon is explained in Fig. 3cd.3(b). Yellow paint is seen yellow because it reflects lights of wavelength in the range 500-600 nm, and absorbs all other wavelengths. On the other hand, blue paint is blue because it reflects lights of wavelength in the range 425-525 nm, and absorbs all other wavelengths. When yellow and blue paints are mixed, only a narrow band of wavelengths (500-530 nm) are reflected and all other wavelengths are absorbed. Hence, we see the green color. We note that most display devices employ additive color mixing to reproduce different colors while the printing industry employs subtractive color mixing to reproduce colors. Fig. 3cd.3(c) shows some more colors obtained by mixing different proportions of cyan, magenta and yellow dyes. Absorbed by blue pigments Blue Paint Yellow Paint Reflectance Absorbed by yellow pigments 400 (a) 425 450 475 500 525 550 Wavelength (in nm) 575 (b) (c) Figure 3cd.3. Subtractive color mixing. a) mixture of yellow and blue paint produces green color, b) composite color is the difference between two added colors, c) mixture of cyan, magenta, and yellow colors. 600 4 Multimedia Signals and Systems 4. Nonuniform Color Space It was mentioned in section 3.3.5.3 that color spaces such as R, G, B have a major disadvantage. The Euclidian distance between two color points in these spaces may not corresponds to the perceptual distance between the two colors. Figure 3cd.4 demonstrates this with a simple example. Figure 3cd.4(a) displays two concentric green circles. The color corresponding to the inner circle is represented by r=0.2, g=0.6, b=0.2 (normalized values) in {R,G,B} color space. The corresponding pixel values, with 8 bit representation, are r=51, g=153, b=51. The color corresponding to the outer circle is represented by r=0.2, g=0.62, b=0.2 with pixel values r=51, g=158, b=51. We note that the two colors have a Euclidian distance of 0.2 (=0.62-0.6). The distance is very small, and hence the colors are perceptually very similar, but can still be distinguished. On the other hand, Fig. 3cd.4(b) displays two concentric blue circles. The color corresponding to the inner circle is represented by r=0.2, g=0.2, b=0.6 in {R,G,B} color space. The corresponding pixel values, with 8 bit representation, are r=51, g=51, b=153. The color corresponding to the outer circle is represented by r=0.2, g=0.2, b=0.62 with pixel values r=51, g=51, b=158. We note that the two colors also have a Euclidian distance of 0.2 (=0.62-0.6). However, the colors are perceptually indistinguishable (the two circles seem to have the same color). (a) (b) Figure 3cd.4. Perceptual distance experiment using two concentric circles in R,G,B color space. a) Inner circle: r=0.2, g=0.6, b=0.2; outer circle: r==0.2, g=0.6, b=0.2, b) Inner circle: r=0.2, g=0.2, b=0.6; outer circle: r==0.2, g=0.2, b=0.62. The values of r, g, and b are normalized (1 corresponds to a pixel value of 255). In both cases, the Euclidian distance is 0.02.