2023-01-02

interpolation and splines

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notes

  • b-splines seem to have the highest continuity in general, but go only through the first and last point
  • natural cubic splines seem to have the highest continuity while going through all points
  • nurbs seem to be a generalisation of b-splines which seem to be a generalisation of bezier curves
  • hermite and catmull-rom interpolation seem to be variations of cubic interpolation
  • interpolation, curve fitting and splines: interpolation goes at least to start and end points, curve fitting approximates a curve between values, splines combine interpolation piecewiese
  • gsl can do only one and two dimensional interpolation
  • energy-minimising curve fitting might be a topic of interest
  • exponential interpolation ((x ** (- 1 t)) (x ** t))