A Discrete Surface Remeshing Algorithm Based on Traversal Curvature Tracing

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.

Key words:remeshing; curvature information; curvature line tracing; free boundary