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Exercises 21 and 22 concern the way in which color is specified for display in computer graphics. A color on a computer screen is encoded by three numbers $(R, G, B)$ that list the amount of energy an electron gun must transmit to red, green, and blue phosphor dots on the computer screen. . Fourth number specifiesthe luminance or intensity of the color.)

$[\mathbf{M}]$ The actual color a viewer sees on a screen is influenced by the specific type and amount of phosphors on the screen. So each computer screen manufacturer must convert between the $(R, G, B)$ data and an international CIE standard for color, which uses three primary colors, called $X, Y,$ and $Z .$ A typical conversion for short-persistence phosphors is $$\left[\begin{array}{ccc}{.61} & {.29} & {.150} \\ {.35} & {.59} & {.063} \\ {.04} & {.12} & {.787}\end{array}\right]\left[\begin{array}{l}{R} \\ {G} \\ {B}\end{array}\right]=\left[\begin{array}{l}{X} \\ {Y} \\ {Z}\end{array}\right]$$

$\left[\begin{array}{l}{R} \\ {G} \\ {B}\end{array}\right]=\left[\begin{array}{ccc}{2.2586} & {-1.0395} & {-.3473} \\ {-1.3495} & {2.3441} & {.0696} \\ {.0910} & {-.3046} & {1.2777}\end{array}\right]\left[\begin{array}{l}{X} \\ {Y} \\ {Z}\end{array}\right]$

Algebra

Chapter 2

Matrix Algebra

Section 7

Applications to Computer Graphics

Introduction to Matrices

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