基于B样条曲面裁剪计算的局部协调设计

LOCAL COINCIDED DESIGN BASED ON TRIMMED B-SPLINE SURFACES

在反求工程曲面重构中,为了对跨多张曲面的局部矩形拓扑裁剪区域进行重新设计,提出了两种基于矩形拓扑区域的曲面局部协调设计方法:自动截面线蒙皮和最小二乘逼近。两种方法均插值于边界曲线和跨界切矢,保证了模型的整体G1连续性,并逼近或插值裁剪区域数据,具有较好的保形性,实际应用效果良好。

In reverse engineering, in order to redesign a new patch based on rectangular topological trimmed region surrounded by several surfaces, two methods are proposed: skinning over a set of cross-sectional curves and least squares surface fitting. With the presented methods, the redesigned surface can interpolate given boundary curves and cross-boundary derivatives, and at one time interpolate or approximate the points within the trimmed region while preserving the G1 continuity and shape characteristics of the original whole model. In practical applications, the methods and solution paths are proved to be feasible and reliable.