带约束的曲面放缩变形及一个新的目标函数

Constrained shape scaling of trimmed NURBS surface and a new target function

对解决带约束的曲面放缩变形的fix and stretch法提出了一个新的目标函数。该目标函数在导矢叉乘积分的意义下保证了新旧曲面对应的法向变化尽可能小 ,从而保证了两个曲面的形状和曲率分布尽可能接近。

This paper offers a new target function for solving the constrained shape scaling of trimmed NURBS surface. With the differential coefficient integral, the target function better diminishes the difference between the new and old NURBS surfaces and ensures their close approximation to each other. A comparison is also made between the new method and the energy model based method.