摘要
给出了非均匀有理三次B-样条插值的方法,利用曲线(面)方程的矩阵表达式导出了反求顶点问题的方程组,使方程组的系数矩阵呈三对角型,易于求解。同时,分别推出几种情况下的端点(边界)条件。利用该结果可以使得曲线(面)易于调整,运算速度快,便于处理。
The objective of this paper. is to present an interpolation method for cubic nonuniform rational B-spline (NURB). A set of curve (surface) equations can be derived from the matrix representation of NURB curve (surface) to solve inversely the problems of venices. The coefficient matrix of the set of equations is of tridiagenal matrix type,making them be solved easily. At same time,several boundary conditions at the extreme points are given under some situations. With the aid of conclusion metioned above,the modification of curve (surface) is conducted easily with rapid calculation speed and disposed conveniently.
出处
《南京航空航天大学学报》
CAS
CSCD
1994年第2期242-251,共10页
Journal of Nanjing University of Aeronautics & Astronautics
基金
国家自然科学基金
航空科学基金
关键词
插值
矩阵表示式
多边形
曲线
interpolation
matrix representations
polygons
polygon net vertex
NURB