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In this presentation, we will speak about the main idea of the article entitled 'Capacity-Constrained Point Distributions: A Variant of Lloyd's Method' [Balzer, M. et al. 2009] and we will show some results obtained by applying of this method. In the aforementioned article the authors present a new general-purpose method for optimizing existing point sets. The resulting distributions possess high-quality blue noise characteristics and adapt precisely to given density functions. Among the results we can highlight the generation of distributions using samples guided by functions of type z=f(x, y) and samples from images (simulating stippling technique).