Blending Surface Subdivision on 4-3 Meshes

Based on some existing surface subdivision schemes and the push-back technique,this paper constructs a new blending surface subdivision scheme to subdivide the 4-3 meshes which contains both triangles and quadrilaterals.In addition,this paper discusses the continuity of the scheme using subdivision matrix eigenstructure analysis. The analysis suggests that the constructed blending subdivision is C¹ everywhere and has bounded curvature in regular conditions.Finally,we also propose a volume-preserving blending subdivision strategy.