Splines with More Continuity?
So far, only C1 continuity.
How could we get C2 continuity at knots?
Possible answers:
- Use higher degree polynomials
degree 4 = quartic, degree 5 = quintic, … but these get computationally expensive, and sometimes wiggly
- Give up local control ? natural cubic splines
A change to any control point affects the entire curve
- Give up interpolation ? cubic B-splines
Curve goes near, but not through, the control points