蜂窝细分(英文)

Honeycomb Subdivision

给出了一类新颖的基于六边形网格的细分方法.该方法拓广了细分曲面的种类,被形象地称为蜂窝细分方法.通过引入中心控制点的概念,使蜂窝细分具有参数选取灵活,形状控制容易,网格复杂性增长缓慢,适用范围广等优点.分析了蜂窝细分方法的极限性质以及参数选取规则,可保证细分曲面处处达到切平面连续,并在适当条件下具有插值能力.该方法适用于动画造型和工业造型设计.

A novel class of subdivision schemes based on the hexagonal meshes is presented. It is called honeycomb subdivision which enlarges the field of subdivision surfaces. By introducing the concept of central control vertices into the schemes, the honeycomb subdivision has the advantages of flexible coefficients selection, easy control of shape, less complexity of large meshes, and applicability. Its properties are analyzed and appropriate subdivision rules are given to obtain limit surfaces with tangent continuity. It can interpolate the given control vertices under certain conditions. The schemes are applicable for shape modeling in computer animation and industrial prototype design.