Spline through points
Spline through points
(OP)
Good morning to all members of the forum!
I was wondering which algorithm does UG use when drawing a spline through points: I'm studying the mathemathics behind Bezier curves, Bsplines or Nurbs in order to understand how it works but, for the time being, the only theoretical reference I could find deals with the opportunity to make the knots of the curve passing through the defining points, which should corresponds to the option "match knot position" in the studio spline command, but it's not what I'm looking for.
What about the "through points" option without the "match knot position"?Is it a piece-wise bezier curve?Is there any criterion for calculating the poles for a given set of points so that the spline crosses all of them?
Thank you in advance for your support.
I was wondering which algorithm does UG use when drawing a spline through points: I'm studying the mathemathics behind Bezier curves, Bsplines or Nurbs in order to understand how it works but, for the time being, the only theoretical reference I could find deals with the opportunity to make the knots of the curve passing through the defining points, which should corresponds to the option "match knot position" in the studio spline command, but it's not what I'm looking for.
What about the "through points" option without the "match knot position"?Is it a piece-wise bezier curve?Is there any criterion for calculating the poles for a given set of points so that the spline crosses all of them?
Thank you in advance for your support.





RE: Spline through points
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RE: Spline through points
Maybe I'm too specific now, but how are calculated both poles and the knot vector for a given set of points?
RE: Spline through points
Unless the information you ask for is crucial to the use of the tool, I wouldn't expect anyone who knows the internal algorithms to divulge their intellectual property on a public internet forum.
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RE: Spline through points
the last part of your reply is actually what I mean: whether that algorithm is something "hidden" (i.e. intellectual property) or it is a "simple" application of formulas or methods publically available in the specialized literature.