Super cool! Why does the Delaunay triangulation avoid skinny triangles?
https://en.wikipedia.org/wiki/Delaunay_triangulation
Delaunay triangulations maximize the minimum angle of all the angles of the triangles in the triangulation
Show HN: Delaunay Triangulating Robert Delaunay's Eiffel Tower Paintings
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Re: Show HN: Delaunay Triangulating Robert Delaunay's Eiffel Tower Paintings
#12As suggested in the discussion points, thin lines/stripes get muddled up with wider adjacent surfaces. Is this a problem with the goal of the exercise ? Maybe it needs to be more clearly defined. I suppose the idea is that the method and the style fit together nicely, and as a result the paintings are representable quite efficiently with low resolution triangulations. It already mostly fits the bill, except for some…
The main idea is to explore the concept of skinny triangles being unaesthetic (and thus undesirable for triangulations). This is true for many tasks in computational geometry, but not so true in art. Bringing these two together shows jarring conflict where the Delaunay Triangulation and your brain's sense of aesthetics disagree. It's not really supposed to be useful, just exploration in reduction of an already reduce…
Thanks for your answer.
For what it's worth I think the result is incredibly adapted to the art style; I think you overestimate your conclusions and I don't think that is fair to extrapolate claims over the importance of skinny triangles in art in general.
This representation conveys most of what the originals had to offer, and has the added benefit of being a light content in a meaningful format. It's a good sign that your questions pulled me into the subject but I don't think there's much more to extrapolate from the experiment.
Now how about trying delaunay triangulation on animated content with the added constraint of optimising for fluidity? (Like the works on incorporating art styles to pictures and videos from last year that you may have noticed, and that were published in siggraph.)