Operator product expansion: Difference between revisions

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Several laws describe a human's ability to visually detect targets on a uniform background. One such law is '''Riccò's law'''. This law explains the visual relationship between a target area and target contrast required for detection when that target is unresolved.<ref>{{cite book|title=Visual Perception: A Clinical Orientation|first=Steven H.|last= Schwartz|edition=3|publisher= McGraw-Hill Professional|year=2004|pages=46–47|ISBN=0-07-141187-9}}</ref> It is given by
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:<math>Contrast = \frac{K}{Area}.\ </math>
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Riccò's law is applicable for regions where the target being detected is unresolved.  The resolution of the human eye (the receptive field size) is approximately one arc-minute in the center (the fovea) and increases in peripheral vision. Riccò's law is applicable for targets of angular area less than the size of the receptive field.  This region is variable based on the amount of background [[luminance]].  Riccò's law is based on the fact that within a receptive field, the light energy (the number of photons) required to lead to the target being detected is summed over the area and is thus proportional to the area.<ref>Hood, D. C., & Finkelstein, M. A. (1986). Sensitivity to light. In K. R. Boff, L. Kaufman & J. P. Thomas (Eds.), Handbook of perception and human performance (Vol. I: Sensory processes and perception, pp. 5-1 - 5-66). New York: John Wiley.</ref>  Therefore, the contrast threshold required for detection is proportional to the signal-to-noise ratio multiplied by the noise divided by the area.  This leads to the above equation.
 
==See also==
*[[Spatial summation|Spatial Summation]]
*[[Weber's law]]
 
==References==
{{Reflist}}
 
[[Category:Photometry]]

Latest revision as of 02:26, 8 December 2014

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