关于Bèzier曲面<i>G</i><sup>1</sup>连续条件的一个注记

关于Bèzier曲面G¹连续条件的一个注记

摘要: 作者曾给出了Bèzier曲面G¹连续的一个充分必要条件¹,其中包含有一组自由参数v_i,μ_i,λ_i,但并没有给出它们应满足的约束条件.文中给出了这组自由参数应满足的约束条件及曲面形状与形状函数之间的关系.

Abstract: A G¹ necessary and sufficient condition between Bèzier surface patches was given by author．A set of parameters are contained in the condition，but no restraint conditions are explained there．In fact，these parameters are not fully free，they must satisfy certain restraint conditions．In this short paper，some restraint conditions are conducted and a relation between the shape functions and the shape of the adjacent patches along the shared boundary curve is presented．