摘要
讨论了三次B样条曲线的双参数型基函数,这种基函数是四次多项式调配函数,给出了调配函数的参数的取值范围.由参数型基函数决定的三次B样条曲线,可以不改变控制多边形的位置,而通过调整参数,进行曲线调整,当节点矢量是非均匀时,曲线是G1或G2连续的,当节点矢量是均匀时,曲线是G1或G2连续的.
A class parametric basis function of the cubic B spline curve are talked about, these parametric basis function are polynomial blending functions of degree, the range of the parameter is given. The cubic B spline curve generated by parametric basis function can change shape through adjusting the value of the parameter, and their control polygon do not need to adjust, the generated curves can be G1 or G2 continuous. Especially, when the knots are uniform, the generated curves can be C1 or C2 continuous.
出处
《河北工业大学学报》
CAS
2006年第6期1-4,共4页
Journal of Hebei University of Technology
基金
国家自然科学基金(60671063)
陕西省自然科学基础研究计划(2006A02)
关键词
B样条
基函数
调配函数
B spline
basis function
blending functions
