Bézier曲线等分作图算法的包络性分析

Bézier曲线是一种最重要且最简便的构造控制参数曲线方法,是计算机图形学的重要内容。Bézier曲线的等分作图算法是一种简便、计算量小的算法;同时Bézier曲线在一些实际应用中可由包络形成因而具有包络性。本文给出了二次三次及n次Bézier曲线等分图算法的包络性证明,证明了Bézier曲线的包络性,为理解Bézier曲线的等分图算法提供了新的方式。

Wraping Character Analysis of Bisectrix Plotting Algorithm of Bézier Curves

Bézier curves is a very important and simple method to construct control parameter curves,and it is the main content of computer graphics.Bisectrix plotting algorithm of Bézier curves is a easy and low-calculation algorithm; Bézier curves can be plotted by wraping lines in some cases,so it has wraping character.The paper gives the attestation of the wrapping character of bisectrix of Bézier Curves and thus provides a new method to the comprehension of bisectrix plotting algorithm..