Color Schemes

     We perceive color as a three dimensional quantity.  Color televisions and computer displays stimulate red, green, and blue phosphors to glow with more or less intensity to produce a color image.  The colors may be described by indicating the amount of red, green, and blue on a scale of 0 to 1, with 0 indicating that the phosphor is not to glow at all, and 1 indicating a maximum stimulation of the phosphor.  This is an additive RGB system, which produces black when none of the phosphors are glowing, and white when all are maximally stimulated.  Yellow is produced by equal excitation of red and green, but no blue.  A small amount of red combined with an even smaller amount of green produces a brown color.

     The creation of colors by combining various colored inks on a white piece of paper is quite different.  Here the observed color is the result of reflected light, and each color of pigment placed on the paper absorbs certain colors of light.  This is a subtractive system, and uses cyan, magenta, and yellow pigments, which are complementary to the additive red, green, and blue of the computer screen.  These colors may also be measured on a scale of 0 to 1, and are related to the computer's red, green, and blue by the formulae:  CYAN = 1 - RED;  MAGENTA = 1 - GREEN; and YELLOW = 1 - BLUE.  Using no pigment leaves the paper white, while maximum pigment of all three colors produces black.

     Although images are reduced to RGB components to display on the computer, and to CMY for printing, another parametrization is more appropriate to establish a correspondence with the complex numbers.  In the Hue, Saturation, Value, or HSV color scheme, the parameter Hue is an angle measuring position around the color wheel.  Red has a Hue of 0 or 360 degrees; green has Hue 120 degrees, and blue has Hue 240 degrees.  Yellow has Hue 60 degrees, half way between red and green.  A Hue of 30 degrees corresponds to orange, etc.  A 'pure' red or green or orange can be mixed with white to create a pastel shade.  As more and more white is mixed in, the original Hue becomes indiscernible.  The parameter Saturation measures how far a color is from a white or gray toward a 'pure' color.  When Saturation is zero, the color is white, gray or black.  When Saturation is one, the color is 'pure' with no white mixed in.  'Pure' colors are composed of at most two of the primary colors red, green, and blue.  The parameter Value is also measured on a scale of 0 to 1.  Decreasing Value is like turning down the brightness control on a television set or computer monitor.  Value zero gives black, no matter what hue and saturation are.
 

Color Graphs of Complex Functions