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Helmet-Mounted Displays: - USAARL - The - U.S. Army

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106<br />

Clarence E. Rash and William E. McLean<br />

Figure 5.1. Luminance patterns for several combinations of target<br />

and background luminance values.<br />

Assume, now, that the target luminance becomes significantly larger,<br />

5000 fL for example, but with the same background value (Figure 5.1b).<br />

<strong>The</strong> contrast value using Equations 5.1a and 5.1c would be:<br />

C = (5000 - 20) / 20 = 249<br />

<strong>The</strong> contrast ratio using Equations 5.2a or 5.2c take the value:<br />

C r = 5000/20 = 250<br />

Further increases in the value of the target luminance would continue<br />

to produce larger values for contrast as defined by Equations 5.1a and 5.1c<br />

and contrast ratio as defined by Equations 5.2a and 5.2c. Note that as L max<br />

(or L t ) becomes significantly greater than L min (or L b), the contrast values<br />

of Equation 5.1a and 5.1c approach the contrast ratio values of Equations<br />

5.2a and 5.2c. This can easily be seen by rearranging Equation 5.1a into<br />

the following form:<br />

C = (L t / L b ) - 1 Equation 5.8

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