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

\mathrm {MTF} _{\mathrm {smear} }(u)={\frac {\sin(\pi \alpha u)}{\pi \alpha u}}

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

References

Encyclopedia of optical engineering, p. 2380, at Google Books
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.

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[EncyOptEng-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.