基于网格遍历曲率线的曲面网格重划算法

A Discrete Surface Remeshing Algorithm Based on Traversal Curvature Tracing

摘要:

提出了一种基于网格遍历曲率线的曲面网格重划算法，采用局部一般二次曲面法估算离散曲面的微分信息，建立顶点的主曲率场.根据顶点的主曲率及主方向获得模型的网格遍历曲率线，从而实现曲面网格重划.该算法可在获取离散网格微分信息的基础上对模型进行重划，并动态控制重划网格的密度，从而大幅简化逆向领域中曲面重构的步骤.

Abstract:

A surface remeshing algorithm based on curvature line is introduced to support the reverse modeling of free form surfaces. The principal curvature tensor on each vertex is established through local quadric surface fitting method. According to the principal curvature and direction on the discrete surface, the curvature lines on the mesh are gained for surface remeshing. This algorithm can remesh discrete surfaces based on the differential information and control remeshing density adaptively, thereby it simplifies the steps of surface reconstruction significantly.