Loop细分模型的边界拼接算法

Boundary combination algorithm of Loop′s subdivision models

为解决细分曲面之间的光滑拼接问题,提出一种满足边界条件的Loop细分算法,利用此算法可以完成两个细分模型的拼接,使得两个细分模型在具有相同细分格式条件下的极限曲面可在拼接处达到C2连续,而在边界的奇异点处达到C1连续.

To resolve the combination of the subdivision surfaces, a kind of Loop′s subdivision algorithm which satisfies boundary conditions is presented. Combination of two Loop′s models can be achieved using this algorithm. The limit surfaces of the two Loop′s models with the same subdivision format are C^2-continuous on boundary, but they are C^1-continuous at the singular point.