中文摘要：

断层轮廓的层间插值可以减小相邻层间距,一方面使断层轮廓数据能直接用于快速成形,实现RE/RP的直接集成;另一方面可以增大相邻层轮廓间的相似性和重叠度,保证重构结果的正确性.层间轮廓插值主要采用线性插值法.在研究层间轮廓线性插值各种插值点对建立方法的基础上,提出了一种改进的线性插值算法,并以此为基础研究了轮廓分裂分支处理后的独立分支和连通分支的层间轮廓线性插值方法,能有效地在分支轮廓处进行层间线性插值.该算法经应用后表明是可行的,且可靠性较高.

英文摘要：

Interpolation of the cross-sectional contours can decrease distance between adjacent layers. With this interpolation, the data of cross-sectional contours can be directly used for rapid prototyping, which makes it easier to integrate RE and RP. On the other side, similarity and degree of overlapping of contours between adjacent layers are improved, ensuring the correctness of reconstructed results. A linear interpolation algorithm is adopted. Research on various methods for establishing vertex-pairs of linear interpolation based on cross-sectional contours is performed and an improved linear interpolation algorithm is proposed. The linear interpolation methods used for the branched contours based on this algorithm are also discussed. Application results show that this algorithm is feasible and reliable.