摘要
多边域的曲面填充是复杂曲面的造型的需要,提出用B样条曲面填充多边域的算法,该算法首先确定初始曲面,并以初始曲面为基准面对离散的边界数据点进行参数化,然后建立以B样条曲面控制顶点为未知量的目标函数,求解目标函数得到填充曲面。详细阐述算法的基本思想,对比能量法和保形条件法两种类型目标函数的填充效果,并给出具体实例。
In the surface modeling,it is often needed to fill in N-side Region. The paper introduces an algorithm for filling of N-side region with B-spline surface. An initial surface is determinated firstly, which is used as the datum plane to parameterize the discrete boundary points, and then an object function is established by the control points of B-spline surface. Finally the B-spline surface is obtained by solving the object function. The basic idea and procedures are described in detail, the test results with the energy optimization method and the shape preservation method are analyzed,and some examples are presented.
出处
《计算机与数字工程》
2007年第11期19-21,92,共4页
Computer & Digital Engineering
关键词
B样条曲面
多边域
能量法
保形条件
b-spline surface,n-side region,energy optimization method,shape preservation
