Huang, Jin; Tong, Yiying; Wei, Hongyu; Bao, Hujun
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.
