Improvement of the termination criterion for subdivision of the rational Bézier curves
By using some elementary inequalities, authors in this paper makes further improvement for estimating the heights of Bézier curve and rational Bézier curve. And the termination criterion for subdivision of the rational Bézier curve is also improved. The conclusion of the extreme value problem is thus further confirmed.
Key WordsRational Bézier curves Subdivision Termination criterion
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- Wang, G. Z., 1984. The subdivision method for finding the intersection between two Bézier curves or surfaces.Journal of Zhejiang University (Special Issue on Computational Geometry),18:108–119 (in Chinese).Google Scholar