Knot Vector Generation for B-Spline Interpolation
This Demonstration is concerned with the problem of interpolating a given point set by a B-spline curve. We illustrate the influence of different choices for the curve's knot vector and parameter vector. The quality of the interpolation varies dramatically depending on these choices, and certain combinations lead to highly oscillating interpolants. A uniform knot vector combined with a chordal parameter vector often yields oscillations or erratic behavior (red curve). Combining a uniform knot vector with a centripetal parameter vector improves the result a bit (blue curve), but the best result is obtained for an average knot vector combined with a chordal (or centripetal) parameter vector (green curve).