Properties of a parametric curve in R^3 are often determined by analysis ofits piecewise linear (PL) approximation. For Bezier curves, there are standardalgorithms, known as subdivision, that recursively create PL curves thatconverge to the curve in distance . The exterior angles of PL curves undersubdivision are shown to converge to 0 at the rate of$O(\sqrt{\frac{1}{2^i}})$, where i is the number of subdivisions. This angularconvergence is useful for determining self-intersections and knot type.
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