合肥工业大学学报杂志社 关键词:参数速度； 等距曲线； 法矢方向； 有理逼近 [gap=886]Key words:parametric speed; offset curve; direction of a normal; rational approximation
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The other kind of method is Curvature smoothing algorithm which is proposed by Desbrun,etc. It moves every vertex in the normal direction with speed equal to a discrete approximation of the mean curvature at the vertex.
另一种方法是Desbrun等提出的Curvature平滑算法,将网格顶点沿其法矢方向以平均曲率的大小移动来调整网格顶点,取得了较好的效果。
参考来源 - 三维网格模型平滑技术研究·2,447,543篇论文数据，部分数据来源于NoteExpress
在不需要重建曲面模型的情况下，找到每一个数据点的法矢，在该法矢方向上补偿一个球头半径实现了测头半径的三维补偿。
The normal vector of each data point is calculated without reconstructing surface, and then realizing radius compensation with probe radius by going along normal vector.
利用Z高度法效率高的优点，判断采样点是否超差；利用矢量分割法检测结果可靠性高的优点，求解沿着设计曲面的法矢方向以及采样点到刀具扫略体的距离（切削误差）。
By making use of Z depth efficiency in error judgement of sampling point and utilizing reliability of vector partition, it can define the cutting error on real time.
采用累加弦长三次样条参数曲线，先求出离散点处两个方向的切矢，进而求解出该离散点的法矢。
This paper presented the solution of normal vector by using the method of the accumulative hypotenuse trispline curve.
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