This paper describes a novel approach to the parameterization of triangle meshes representing 2-manifolds with an arbitrary genus. A topology-based decomposition of the shape is c...
Abstract. We describe a novel automatic technique for finding a dense correspondence between a pair of n-dimensional surfaces with arbitrary topologies. This method employs a diffe...
Systematically generalizing planar geometric algorithms to manifold domains is of fundamental importance in computer aided design field. This paper proposes a novel theoretic fra...
Abstract. We consider geometric shortest path queries between arbitrary pairs of objects on a connected polyhedral surface P of genus g. The query objects are points, vertices, edg...
—It has recently been shown that if we twist an arbitrary subset of edges of a mesh on an orientable surface, the resulting extended graph rotation system (EGRS) can be used to i...
Qing Xing, Ergun Akleman, Jianer Chen, Jonathan L....