形状可调的B样条曲面补洞方法

提出了一种形状可控的B样条曲面补洞算法。此算法在补洞过程中提供了多组可调节的形状参数,分别可以调整中心点的位置,孔洞的凹凸性和孔洞的平整性,从而实现对孔洞形状的调整。对于给定的一组边界曲线及相应的跨界导矢,可以通过调整参数达到对孔洞的不同构造,然后用B样条曲面控制网格表示孔洞,并通过调整控制顶点使得孔洞在各处都满足G1连续。本文的补洞算法提供多组可调控参数,有效的结合了孔洞内部可能的约束条件并可以非常方便的进行调整,从而增加了孔洞修补的灵活性。在放宽对参数的约束时可以实现对孔洞的工艺设计等。

B-spline Surface Hole Filling with Shape Adjustment

This paper presents an algorithm to fill a B-spline surface hole with shape adjustment.This algorithm provides several adjustable shape parameters,and can adjust the shape of hole by adjusting the position of center point,the hole concavity-convexity and hole smoothness respectively.We obtain different hole structure by adjusting the shape parameters in condition of given a set of boundary curves and corresponding cross-boundary derivatives.Then each quadrangular surface is represented with B-spline surface,and we adjust the control points of B-spline surfaces to make the border and interior of n-sided region G1 continuous.It becomes more flexibility that the algorithm provides several adjustable shape parameters,and we can discuss the internal constraint conditions of hole effectively,and adjust the shape of hole very expediently.It also can be used in the process of designing hole when the constraints of parameters are relaxed.