Designing 2D and 3D Non-Orthogonal Frame Fields

We present a method for direction field design on surface and volumetric meshes supporting non-orthogonality. Our approach is generalization of the representation 3D cross fields in spherical harmonic basis. As such it induces geometrically meaningful measure smoothness, allows orthogonality control by simple parameter enables orientation constraints single direction. To best our knowledge this first work to propose non-orthogonal frame design. demonstrate applicability generate anisotropic quadrangular hexahedral which are particularly useful remeshing CAD models.