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Is there any way to reasonably restrict control points of cubic bezier curve so it's oscilating circle will never have radius smaller than r?

Bezier curve with it's oscilating circle

I need to find the conditions that control points have to meet, so curvature of the bezier is never too large

Crimsoon
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  • Maybe you mean its [sic] osculating circle? – Dan Asimov Jun 03 '23 at 13:52
  • what does [sic] oscilating circle mean? – Crimsoon Jun 03 '23 at 14:08
  • The right word is “osculating”, not “oscillating”. The [sic] is Latin for “thus”. Clever people use this as a way to refer to something written (usually incorrectly) by someone else. – bubba Jun 04 '23 at 09:35
  • The “hard to tell what you’re asking” comment is nonsense. Your question is quite clear, in my opinion. – bubba Jun 04 '23 at 09:36
  • There’s a related question here. But the answers (including mine) are not very helpful. https://math.stackexchange.com/questions/854757/maximum-curvature-of-2d-cubic-bezier?rq=1 – bubba Jun 04 '23 at 09:40

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