BEZIER曲线曲面的拼接

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1、Bezier 曲线曲面的拼接Bezier 曲线曲面的拼接摘要曲线曲面的表示是计算机图形学的重要研究内容之 1，Bzier 曲线曲面又是计算机图形学中常用的曲线曲面，它采用分段和分片参数多项式的形式。Bzier 曲线曲面之所以被广泛使用是因为它有许多特别适合计算机图形学和计算机辅助几何设计的特点。本文依次详细论述了 Bzier 曲线的定义和性质、Bernstein 基函数性质、介绍了双 3 次Bzier 曲面、递推算法、构图法及其应用、Bzier 曲线曲面的拼接。通过对 Bzier 曲线曲面的论述，阐述了 Bzier 曲线曲面的原理及其特性，研究 Bzier 曲线拼接的几何连续性及参数连续性,总

2、结出 G ,G 及 C ,C 连续的几何意义。最后研究了 Bzier 曲面拼接的几何连续性。关键词： C 连续;G 连续;Bernstein 基函数; 参数连续性 ;几何连续性 AbstractThe curve curved surface expression is one of computer graphics important research contents, Bzier the curve curved surface also is in the computer graphics the commonly used curve curved surface, it use

3、s the partition and the lamination parameter multinomial form. Bzier the curve curved surface the reason that by the widespread use is because it has many suits the computer graphics and the computer assistance geometry design characteristic specially. This article in detail elaborated Bzier the cur

4、ve definition and the nature, the Bernstein primary function nature in turn, introduced a pair of three Bzier curved surface, the recursion algorithm, the composition law and the application, Bzier curve curved surface splicing. Through to Bzier the curve curved surface elaboration, elaborated Bzier

5、 the curve curved surface principle and the characteristic, the research Bzier curve splicing geometry continuity and the parameter continuity,Summarizes G,G and C,C continual geometry significance. Finally has studied Bzier the curved surface splicing geometry continuity.Key words： C continuity ; G continuity; Bernstein basic function ; parametric continuity ; geometric continuity