24

Evaluation of Some Methods

In this chapter, we will examine some of the many methods that have been presented. We will try to point out the relative strengths and weaknesses of each, a task that is necessarily influenced by personal experience and opinion.

24.1 Bézier Curves or B-Spline Curves?

Taken at face value, this is a meaningless question: Bézier curves are a special case of B-spline curves. Any system that contains B-splines in their full generality, allowing for multiple knots, is capable of representing a Bézier curve or, for that matter, a piecewise Bézier curve.

In fact, several systems use both concepts simultaneously. A curve may be stored as an array holding B-spline control vertices, knots, and knot multiplicities. For evaluation ...

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