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I wanted to know how can I write a matrix representation of a clamped b-spline. Following this document, https://ieeexplore.ieee.org/document/731996, I get matrix representation to write b-spline matrices(unclamped). I am able to generate clamped version from that by repeating the control points though that looks different if I generate from a library(scipy.interpolate.splev) - and I think the difference stems from that it considers the multiplicity of knot vector rather than control points. I am not able to get that formulation with respect to the paper mentioned above. Thanks for the help.

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  • $\begingroup$ By taking two or three points very close to the clamped end, accuracy of B- Spline/Bezier may perhaps suffice. $\endgroup$ – Narasimham Aug 13 at 21:13
  • $\begingroup$ That may do for accuracy. But I am looking to clamp by repeating knot vector. This is because with repeating control points, the derivates come out to be zero at endpoints which I don't want. This is similar to what the answer of this math.stackexchange.com/questions/398123/… says. So, I am trying to get non-zero endpoint derivatives. $\endgroup$ – controlpanda Aug 13 at 22:04
  • $\begingroup$ Should the normal to the curve lie along line joining first and last points? $\endgroup$ – Narasimham Aug 14 at 6:32

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