中文摘要：

Bezier曲线是图形学中最基本、最重要的内容之一,广泛地应用于二维和空间图形中,如何快速、准确地绘制曲线是目前的一个研究方向。油田生产常常利用计算机仿真技术模拟先进采油工艺的实施过程,但地域和客观环境的不同导致油井类型存在较大差异,固定不变的仿真模式已不能满足实际需求,迫切需要寻找更加灵活多变的仿真方法。通过对现有Be-zier曲线算法优缺点的比较,提出了一种新的逐点逼近算法,阐述了该算法的原理,并结合在采油井管道绘制中的具体应用,证明了该算法的有效性与实用性。

英文摘要：

Bezier curve is one of most elementary and important contents in computer graphics,and has wide applications in 2D and space graphics.How to draw curves quickly and accurately is a direction at present.Using the computer simulation technology,executing process of advanced oil extraction technics can be usually simulated in production of oil field.But a fixed mode has no competence to satisfy actual requirement because of biggish diversities in oil wells caused by zone and external environment and a more flexible method is needed urgently.After comparing with existing algorithms for Bezier curve,a new point-by-point approach generating algorithm is presented and its elements is described.This algorithm＇s advantages and practicability can be testified in drawing pipes of wells for oil recovery technique.