POV-Ray : Newsgroups : povray.general : Cubic spline tangents don't have expected effect? : Cubic spline tangents don't have expected effect? Server Time
19 Apr 2024 11:26:58 EDT (-0400)
  Cubic spline tangents don't have expected effect?  
From: kendfrey
Date: 17 Jan 2019 08:10:00
Message: <web.5c407b748844a7763ca35f5e0@news.povray.org>
I'm trying to approximate a quarter-circle with a cubic spline, but I'm not
getting the results I expected.

Here is my scene file: https://pastebin.com/SyUgKkHx

Based on this paper, the correct value for k should be about 0.552:
https://www.mechanicalexpressions.com/explore/geometric-modeling/circle-spline-approximation.pdf

However, in my example, that value is too low, and k seems to be about 2.313
instead.

What's going on here?


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