Semi-Regular 4-8 Refinement and Box Spline Surfaces

Abstract. In this paper we introduce a new mesh refinement method for subdivision surfaces. It generates a semiregular 4-direction hierarchical structure from control meshes representing 2D manifolds of arbitrary topology. The main advantage of this structure is that it allows the extraction of conforming variable-resolution meshes based on spatially varying adaptation functions. We also present a smoothing method designed to work in conjunction with our semi-regular refinement. It produces generalized four direction Box spline surfaces of class

• Type: Conference
• Year: 2000
• Where: SIBGRAPI
• Authors: Luiz Velho
• Keywords: Computer Graphics, Mesh Refinement Method, Semi-regular Refinement, SIBGRAPI 2000, Subdivision Surfaces