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Mesh construction based on differential surface property

Miyazaki R., Harada K.

Machine Graphics and Vision

2006

Vol. 15, No. 2

197-210

In this paper, we propose a novel method for extraction of a feature from range data to create of a simplified triangular mesh. The feature extracted by our method is based on the surface property. In the past, vertices on a highly curved surface were extracted from range data, and the extracted vertices were triangulated to construct a simplified triangular mesh. However, the vertices extracted with such a method were not enough to create a simplified triangular mesh in some cases. For example, when the shape shows less change in one direction, like a parabolic shape, too many vertices are extracted by the traditional method. We introduce a surface property defined by a combination of the mean curvature and the gaussian curvature. Vertices are classified into three categories according to the surface property. Then, the structures consisting of vertices and edges are extracted suitably for constructing a simplified triangular mesh. Following that, we can create the desirable trianguiation through constrained Delaunay trianguiation using the extracted structures.