Found an interesting thing: http://faculty.cs.tamu.edu/schaefer/research/kcurves.pdf … I am a little curious about that, when adopting this curve into type design, could it interpolate well (i.e., no kinks produced during interpolation). This thing is far more "direct" than B-splines.
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For alternatives to conventional curves, do consult:
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Replying to @hhpapazian @belleveinvis and1 reply 0 retweets 2 likes
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Replying to @davelab6 @hhpapazian and
Interesting. One thing is, it doesn't produce circles, which was a goal. But it looks like influence is more local, and it's pretty stable when you move control points around, so I can see the advantages.
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Replying to @raphlinus @davelab6 and
Circles are over-rated [in type design] anyway.
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Replying to @hhpapazian @davelab6 and
Fair enough. Bottom line, it definitely seems worth trying.
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Replying to @raphlinus @hhpapazian and
Thanks Hrant for tweeting this at me, it's been inspiring. This isn't a direct answer to the original thread, but you might find https://raphlinus.github.io/curves/2018/12/08/euler-spiral.html … interesting.
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Replying to @raphlinus @davelab6 and
Interesting stuff. BTW that "0.606" rang a very large if distant bell in my mind... Back in college, inspired by the Lituus, I used to "invent" damped curves (like x^(1/x) which is borderline spiritual :-) and at some point I remember hitting 1/sqrt(e) which is... 0.606.... :-)
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I haven't run the math yet, but it wouldn't be at _all_ surprising. The Euler spiral is deeply related to erf, which is all about e.
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Replying to @raphlinus @hhpapazian and
I wasn't kidding when I said this paper inspired me, see https://raphlinus.github.io/curves/2018/12/21/new-spline.html … for where it led me. Thanks for giving me the heads-up!
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