Polynomial Curves in Euclidean Space Natural Splines
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Natural Splines§

TODO

Python implementation: splines.Natural

https://en.wikipedia.org/wiki/Spline_interpolation

https://en.wikiversity.org/wiki/Cubic_Spline_Interpolation

https://en.wiktionary.org/wiki/spline

https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.CubicSpline.html

  • Properties
  • Derivation (Uniform)
    • End Conditions
      • Natural
      • Clamped
      • Closed
    • Solving the System of Equations
  • Derivation (Non-Uniform)
    • End Conditions
      • Natural
      • Other End Conditions
previous Non-Uniform Cubic Hermite Splines
next Properties of Natural Splines

Table of Contents

  • Polynomial Curves in Euclidean Space
    • Polynomial Parametric Curves
    • Lagrange Interpolation
    • Hermite Splines
    • Natural Splines
      • Properties
      • Derivation (Uniform)
      • Derivation (Non-Uniform)
    • Bézier Splines
    • Catmull--Rom Splines
    • Kochanek--Bartels Splines
    • End Conditions
    • Piecewise Monotone Interpolation
  • Rotation Splines
  • Python module
  • External Resources
  • References

  • General Index
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