Derivatives of rational Bézier curves
نویسنده
چکیده
Two equations are presented which express the derivative of a rational Bézier curve in terms of its control points and weights. These equations are natural generalisations of the non-rational case and various properties are found from them. Bounds on the magnitude of the derivative and the direction of the derivative (the hodograph) are obtained. Expressions for the second derivative, curvature, and torsion of the curve are also calculated. §
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ورودعنوان ژورنال:
- Computer Aided Geometric Design
دوره 9 شماره
صفحات -
تاریخ انتشار 1992