中文摘要：

为了提高对三角网格进行四边区域划分的质量,首先利用拉普拉斯算子及转换函数对除四边区域顶点之外的三角网格顶点进行处处连续的参数化,然后根据全局参数化结果在参数域内对四边区域的边界进行调整,进而根据四边区域边界调整的结果对四边区域顶点位置进行调整,通过反复执行上述过程达到四边区域优化的目的.该方法能有效地改善四边区域的分布情况,减小三维空间中的四边区域参数化后的变形程度,与四边区域划分的目的相适应.

英文摘要：

In order to automatically optimize quadrangular segmentation of triangle meshes,a global parameterize based optimization approach was presented to optimize the quadrangular segmentation of a triangle meshes.The optimization approach repeatedly performing three steps which include（1） calculating the globally smoothed parameterization of triangle meshes,（2）adjusting the patch edges according to the result of parameterization and then（3） adjusting he patch vertices after the adjustment of patch edges.The presented approach efficiently decreases the distortion of quadrangular patches during the parameterization process and was consistent with surface fitting.