Sharp bounds on the approximation of a Bézier polynomial by its quasi-control polygon
نویسندگان
چکیده
By connecting the points which are the kind of linear combinations of Bézier control points, a broken line polygon called quasi-control polygon is produced. Using it to approximate Bézier segment, this paper obtains two sharp, quantitative bounds, besides depending on the degree of the polynomial, the bounds depend only on the maximal absolute second differences or the sum of absolute second differences of the control point sequence respectively. The advantage of this method is hardly increasing calculation, the effect of using quasi-control polygon to approximate is better than that of using control polygon to approximate. 2005 Elsevier B.V. All rights reserved.
منابع مشابه
Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon
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ورودعنوان ژورنال:
- Computer Aided Geometric Design
دوره 23 شماره
صفحات -
تاریخ انتشار 2006