基于B样条曲面的N边孔洞填补算法OA

The existing G1 and G2 continuous hole-filling algorithms require the boundary of the N-sided hole satisfying the twist compatibility.However,in practical engineering applications,it is often impossible to meet this request.Current methods can then achieve G0 continuity only,and when the area is narrow,internal non-smoothness may occur.This paper introduces the concept of visual continuity,measuring the degree of G1 continuity through the difference in normal angles at the stitching points.It proposes a method to generate visually continuous N-sided polygons by inserting knots and adjusting control points,which not only outperforms traditional methods and commercial engines like Parasolid in terms of isosurface effects but also significantly improves the efficiency of generation.