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Algorithm for exact area-weighted antialiasing of discrete circular apertures

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Abstract

Accurately calculating diffraction from geometrical shapes such as circular apertures is important in computational Fourier optics. In this paper, we present an algorithm for exactly generating a discrete representation of a circular aperture whose pixel values are given by the integral of the true aperture within each pixel. We characterize the accuracy and runtime of the presented algorithm in comparison to approximate techniques such as binning high-resolution arrays, relative to the analytical Airy pattern.

© 2020 Optical Society of America

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