Suppose we want to draw a complicated curve. We could use a high-degree Bézier curve, but there are several problems with this approach:

• We cannot represent cusps (well, not easily, anyway).

• It is expensive to evaluate high-degree Bézier curves.

• A large number of control points may be required to get the shape we want.

• The effect of modifying middle control points is diffuse, and they become less useful as shape parameters.

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Authors and Affiliations

1. University of Waterloo, Canada

   Stephen Mann

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