Hermite Splines

Hermite splines (named after Charles Hermite) are the building blocks for many other types of interpolating polynomial splines, for example natural splines and Catmull–Rom splines.

A Python implementation of (cubic) Hermite splines is available in the splines.CubicHermite class.

• Properties
• Derivation (Uniform)
  • Basis Matrix
  • Basis Polynomials
  • Example Plot
  • Relation to Bézier Splines
• Derivation (Non-Uniform)
  • Basis Matrix
  • Basis Polynomials
  • Example Plot
  • Utilizing the Uniform Basis Matrix