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. Author manuscript; available in PMC: 2020 Feb 27.
Published in final edited form as: J Opt Soc Am A Opt Image Sci Vis. 2019 Aug 1;36(8):1346–1360. doi: 10.1364/JOSAA.36.001346

Fig. 12.

Fig. 12.

Geometric construction for evaluating the autocorrelation. We need to integrate over the overlapping region of two circles with radius 1/2 and distance ν between their centers. The region is four times the difference in area between a sector of angle cos−1(ν) and radius 1/2 and a right triangle with base ν/2 and hypotenuse 1/2.