关键词: 本征距离, 测地距, 第一基本式, 共形参数, 聚类

Abstract: There has been many ways of computing or approximating geodesic distance and path on triangle meshes, but none of them works on simplifying the intrinsic of an embedding. Here a new idea about simplification of the intrinsic distance of a mesh via conformal factor is given. First fundamental form and conformal factor plays important role in the approximating algorithm. After the simplification, an application of approximating the geodesic distance and path by minimizing the distance function on the surface of a mesh will be introduced.

Key words: intrinsic distance, geodesic, first fundamental form, conformal factor, clustering