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Figure 1
Examples of circular point clouds with radius r = 0.5 generated with one true-random and two quasi-random (Sobol, Halton) filling algorithms. Each cloud is generated by initially filling 5000 points into a squared area with side length l = 1 and subsequently deleting all points outside of the circle, which leaves ∼4000 points. The usage of a quasi-random algorithm leads to a higher homogeneity of the spatial distribution relative to the true-random method, whereas the true-random distribution shows a higher degree of local clustering.

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 55| Part 4| August 2022| Pages 993-1001
https://doi.org/10.1107/S160057672200499X
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