蝶形细分面片的光顺  

Mesh Fairing of Butterfly Subdivision Surfaces

作　　者：于行洲[1] 查红彬[1] 石青云[1] 

机构地区：[1]北京大学视觉与听觉信息处理国家重点实验室,北京100871

出　　处：《中国图象图形学报（A辑）》2003年第3期299-305,共7页Journal of Image and Graphics

基　　金：国家 973课题 ( G19980 3 60 6)

摘　　要：使用蝶形细分法细分一般的初始控制网格得到的细分面片光滑而不光顺 ,面片的视觉效果很差 ,而运用现有的光顺技术 ,又只能直接光顺细分以后的结果 ,其需要保存的数据不仅量大 ,而且会引入误差 .针对这一问题 ,提出了一种新的光顺方法 ,即通过调整初始网格顶点位置来光顺细分以后的结果 .在添加合适的约束后 ,该方法不仅可以在光顺细分面片的同时 ,降低细分面片和三维真实物体表面之间的逼近误差 ,而且由于最终输出的是初始控制网格 ,故需要保存的数据量小 .Subdivision surfaces generated by subdividing general control meshes with the butterfly subdivision method are theoretically smooth. However, the surfaces are not visually smooth, because they are not fairing. Fairing the subdivision surfaces directly with traditional fairing methods has to store the huge volume data of subdivision results with approximation error introduced. In this paper, a new mesh fairing method is presented to address such problem. The subdivision result is faired through moving the vertices of the initial control mesh other than the vertices of the subdivision surface. With simple constraints, the method can fair the subdivision surface while decreasing the approximation error between the subdivision surface and the real 3D geometrical model. Moreover, this method can reduce the volume of data to be stored since it only needs to store the updated initial control mesh. To generate fairing subdivision surface, one just needs to subdivide the initial control mesh with simple subdivision rules.

关 键 词：蝶形细分面片 光顺技术 初始控制网格 拓扑结构 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]