Semi-global Quad Mesh Structure Simplification via Separatrix Operations

This paper presents a semi-global method to simplify the structure of an all-quad mesh. The simplification aims to reduce the number of singularities, while preserving boundary features. The simplification operations of our method are based on the separatrices connecting adjacent singularities. The proposed semi-global method can handle quad-meshes with complex structures (e.g., quad-meshes obtained via Catmull-Clark subdivision of the triangle meshes) and produce quad meshes with much simpler structures.