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Optimal transport is art: images to collection of optimally placed particles

blog.wolfram.com

8 points by adec314 · 3 comments

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adec314OP

- Source of the blog (not me): https://blog.wolfram.com/author/silvia-hao/

Stippling is an old topic. The question is simple: how to optimaly place points to fit a target distribution. Artists do that, and mathematicians search for algorithms to do it with computers, which is quite a challenge because naive formulations are intractable.

- Implementation based on Gaussian Blue Noise (me, both notebook and package): Feel free to explore stippling on your own images, from google Colab https://colab.research.google.com/drive/1W15QE8Boj0-Ld4Dx3N2... or directly by using the package from github https://github.com/For-a-few-DPPs-more/Recursive-Gaussian-Bl...

-Source for the theory of Gaussian Blue Noise (not me): Ahmed, Abdalla G. M. and Ren, Jing and Wonka, Peter (2022, doi 10.48550/arXiv.2206.07798)

  • markstock

    This seems very related to adaptive meshing algorithms, for which there are many naive formulations, and not all are intractable.

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