Frame Fields: Anisotropic and Non-Orthogonal Cross Fields

摘要

We introduce frame fields, which are a non-orthogonal and nonunit-rnlength generalization of cross fields. Frame fields representrnsmoothly varying linear transformations on tangent spaces of arnsurface. We propose an algorithm to create discrete, dense framernfields that satisfy a sparse set of constraints. By computing a surfacerndeformation that warps a frame field into a cross field, we generalizernexisting quadrangulation algorithms to generate anisotropic andrnnon-uniform quad meshes whose elements shapes match the framernfield. With this, our framework enables users to control not onlyrnthe alignment but also the density and anisotropy of the elements’rndistribution, resulting in high-quality adaptive quad meshing.