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协同高校
浙江大学 清华大学 上海交通大学

Boundary Aligned Smooth 3D Cross-Frame Field

编辑:CYBER日期:2012-11-29 访问次数:879
Boundary Aligned Smooth 3D Cross-Frame Field
作者:Huang, Jin;  Tong, Yiying;  Wei, Hongyu; Bao, Hujun
来源:ACM TRANSACTIONS ON GRAPHICS : 30   : 6  2011
本文提出了一种生成三维对称标架场的方法。和表面对称标架场不同的是,三维对称标架场的对称性无法用一个切平面的旋转角度表示。为此,本文利用球面函数来获得对称性表述,该表述对于绕任意轴旋转π/2的整数倍以及不同轴之间的复合是不变的。基于此,可获得标架场光顺程度的一个有效度量,并将该标架场用于六面体网格生成。
 
In this paper, a method for constructing a 3D cross- frame field was presented, In contrast to the surface cross-frame field, symmetry for 3D cross- frame fields cannot be formulated by simple one-parameter 2D rotations in the tangent planes. Spherical harmonics was used to represent the 3D frames, in a manner invariant to combinations of rotations around any axis by multiples of π/2. With such a representation, an efficient smoothness measure of the cross-frame field was formulated and so the 3D cross-frame field can be applied to produce hexahedron-dominant meshes for given volumes.