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| In [[optics]], '''smear''' is used to refer to motion that has low temporal frequency relative to the integration/exposure time. This typically results from a relative rate of the image with respect to the detector (e.g., caused by movement in the scene). Smear is typically differentiated from [[jitter (optics)|jitter]], which has a higher frequency relative to the integration time.<ref name=EncyOptEng>{{Google books|rcrGlrguj1YC|Encyclopedia of optical engineering|page=2380}}</ref> Whereas smear refers to a relatively constant rate during the integration/exposure time, jitter refers to a relatively sinusoidal motion during the integration/exposure time.
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| The equation for the optical [[Modulation transfer function]] associated with smear is the standard [[sinc]] function associated with an extended sample
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| :<math>MTF_{smear}(u) = \frac {sin(\pi \alpha u)} {\pi \alpha u}</math> | |
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| where u is the spatial frequency and <math>\alpha</math> is the amplitude of the smear in pixels.<ref>{{cite journal|last=Johnson|first=Jerris F.|title=Modeling imager deterministic and statistical modulation transfer functions|journal=Applied Optics|date=10 November 1993|volume=32|issue=32|pages=6503|doi=10.1364/AO.32.006503|url=http://www.opticsinfobase.org/abstract.cfm?id=40363}}</ref>
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| ==References==
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| {{Reflist}}
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| [[Category:Optics]]
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| [[Category:Photography]]
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Latest revision as of 16:25, 28 December 2014
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