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.

中文翻译：

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离散圆形孔径的精确面积加权抗锯齿算法。

从几何形状（例如圆形孔径）准确计算衍射在计算傅立叶光学中很重要。在本文中，我们提出一种算法，用于精确生成圆形孔径的离散表示，其像素值由每个像素内真实孔径的积分给出。与近似技术（例如，将高分辨率阵列装仓）相对于解析性艾里模式相比，我们表征了所提出算法的准确性和运行时间。