摘要
探讨了NURBS插值曲面的构造方法,导出了两种插值曲面算法;第一种算法是将传统的B-Spline插值方法推广到四维空间而得到的算法;第二种算法是通过重新处理节点向量值得到的一种不使用边界条件、稳定性好、计算量小、对任意阶曲面都有效的方法.两种算法均能满足曲面性态要求,还给出了两种算法的运算结果,并对两种插值算法进行了比较.
The methods of construction of the NURBS interpolating surface are discussed and two algorithms presented. The first algorithm is obtained after the extension of conventional B-Spline interpolating methods to 4-D space, and the second is obtainded by recalculating the nodes vector. The second method is one with smaller calculating workload, no boundary conditions and better stability. Both algorithms can meet the requirement on the surface property. Calculation results with the two algorithms are given and comparedd with each other.
出处
《华中理工大学学报》
CSCD
北大核心
1993年第4期13-19,共7页
Journal of Huazhong University of Science and Technology
关键词
NURBS
曲面
插值
算法
NURBS
surface
interpolation
algorithm
