Piecewise Curve Segments : Continuity

Often we will want to represent a curve as a series of curves pieced together

But we will want these curves to fit together reasonably ...

... Continuity !

Zero order parametric continuity

The curves meet

First order parametric continuity

the tangents are shared

Second order parametric continuity

the"speed" is the same before and after

animation paths ...

no infection points ? no