A class of Bézier-like curves
✍ Scribed by Qinyu Chen; Guozhao Wang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 185 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0167-8396
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, a new basis, to be called C-Bézier basis, is constructed for the space Γ n = span{1, t, t 2 , . . . , t n-2 , sin t, cos t} by an integral approach. Based on this basis, we define C-Bézier curves. We then show that such basis and curves share the same properties as the Bernstein basis and the Bézier curves in polynomial spaces respectively.
📜 SIMILAR VOLUMES
Using the Walsh coincidence theorem, we show in this paper that the shape of the control polygon of a Bézier curve is closely related to the location of the complex roots of the corresponding polynomial. This explains why a convex polynomial over an interval does not necessarily produce a convex con
Any segment between two points on a BCzier curve is itself a Bezier curve whose BCzier polygon is expressed explicitly in terms of the sides of the BCzier polygon associated with the original curve.