Top panel: an illustration of the mass-assignment kernels in two-dimensions: a hard k-space cut (Sup hard), a soft k-space cut (Sup soft), nearest-grid-point (NGP) and cloud-in-cell (CIC). The lower three panels give a comparison of the kernel functions (in one dimension) for various mass assignment schemes. Top: the kernels in Fourier space. The Nyquist frequency is 1 pixel-1 on the scale. Middle: the kernels in position space. Bottom: the cumulative power of each kernel in position space.
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