CAD/CAM中三角超限插值曲面的应用

THE APPLICATION OF TRIANGULAR SPLINE TRANSFINITE INTERPOLATION SURFACES IN CAD/CAM

本文提出了一类带控制顶点的三角超限插值样条曲面,它具有现有超限插值曲面及形状控制曲面的优点。文章推导并讨论了“边-点”和“边-边”两种格式,并给出了“边-点”格式的实现算法。

Presented in this paper is a class of triangular spline transfinite interpolation surfaces with acontrol-point which preserves both the advantage of the existing transfinite interpolation surfacesand the property of controlling the surface shapes.Two schemes.i.e.,edge-vertex and edge-edge,are detailed and complete expressions are derived.Also discussed is the algorithm to imple-ment the edge-vertex scheme.