4-3网格混合曲面细分

Blending Surface Subdivision on 4-3 Meshes

在已有曲面细分模式的基础上,利用“回推”技术构造出一类新的细分模式,对同时存在三角形和四边形的4-3网格进行混合曲面细分;采用分析细分矩阵特征结构的方法,讨论了该模式的连续性.分析表明,所构造的混合细分全局C1连续,且在规则情形下具有有界曲率.最后给出了一种基于体积保持的混合细分策略.

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 C^1 everywhere and has bounded curvature in regular conditions. Finally, we also propose a volume-preserving blending subdivision strategy.