Smear (optics)

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, which has a higher frequency relative to the integration time.[1] 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. The equation for the optical modulation transfer function associated with smear is the standard sinc function associated with an extended sample

MTFsmear(u)=sin⁡(παu)παu

where u is the spatial frequency and α is the amplitude of the smear in pixels.[2]

## References

1. ↑ Encyclopedia of optical engineering, p. 2380, at Google Books
2. ↑ Johnson, Jerris F. (10 November 1993). "Modeling imager deterministic and statistical modulation transfer functions". Applied Optics 32 (32): 6503–13. doi:10.1364/AO.32.006503. PMID 20856491. http://www.opticsinfobase.org/abstract.cfm?id=40363.

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