**Smoother Blending Functions:**-
- Can be replace by smoother functions?
- Piecewise polynomials on
- Continuous derivatives

- Yes, but we lose one degree of freedom
- Curve has no corner if segments share a common tangent
- Tangent is given by the chords ,
- An equation constrains , ,

- This equation leads to combinations:

- Can be replace by smoother functions?
**Spline Basis**-
- Combined functions form a smoother
*spline basis*

- Combined functions form a smoother
**Smoother Curves**-
- Control points used with this basis produce smoother curves

CS488/688: Introduction to Interactive Computer Graphics

University of Waterloo

Computer Graphics Lab