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Variable-width Bézier curves (2025)

luthert.web.illinois.edu

36 points by leduyquang753 · 12 comments

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WillAdams

In case the author reads this:

>The stroke boundary algorithm could be extended to 3D by generating a ring (instead of a pair) of stroke boundary points at each sample point. I do not know of compelling uses for such a 3D element.

That would actually be an excellent way to describe a V-carving toolpath for a CNC router.

  • WillAdams

    And now that I think about it --- didn't one of Wacom's Kai/Photoshop plug-ins work in this was to allow incising into a virtual surface?

AlphaCerium

It's a breath of fresh air to see an article that so clearly and carefully explains a concept amongst the sea of llm-prose.

xigoi

Why is there not a single picture in an article about Bézier curves?

  • dvh

    Waterluvian's Law is the why:

    > The more an article would benefit from photos, the less likely it’ll have them.

  • AnthonBerg

    visualizations that pop out from triangles

  • eviks

    Because you didn't read the article to notice them

    • xigoi

      I don’t want to read an article on how to draw something if I can’t even see what the result will look like.

      • smrq

        Parent's point is that there are in fact seven animated visualizations in this very article.

        • xigoi

          Ah, they’re hidden inside the “algorithm” boxes (and also don’t display properly in dark mode). What an unintuitive place to put them – I’d expect an algorithm box to only contain pseudocode, with the output being in a different box.

          • eviks

            why would you expect "(with visualization)" boxes to only contain pseudocode?

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