We introduce frame fields, which are a non-orthogonal and non-unit-length generalization of cross fields. Frame fields represent smoothly varying linear transformations on tangent spaces of a surface. We propose an algorithm to create discrete, dense frame fields that satisfy a sparse set of constraints. By computing a surface deformation that warps a frame field into a cross field, we generalize existing quadrangulation algorithms to generate anisotropic and non-uniform quad meshes whose elements shapes match the frame field. With this, our framework enables users to control not only the alignment but also the density and anisotropy of the elements' distribution, resulting in high-quality adaptive quad meshing.
Frame fields: Anisotropic and non-orthogonal cross fields / D. Panozzo, E. Puppo, M. Tarini, O. Sorkine-Hornung. - In: ACM TRANSACTIONS ON GRAPHICS. - ISSN 0730-0301. - 33:4(2014), pp. 134.1-134.11. ((Intervento presentato al convegno ACM SIGGRAPH tenutosi a USA nel 2014 [10.1145/2601097.2601179].
Frame fields: Anisotropic and non-orthogonal cross fields
M. Tarini;
2014
Abstract
We introduce frame fields, which are a non-orthogonal and non-unit-length generalization of cross fields. Frame fields represent smoothly varying linear transformations on tangent spaces of a surface. We propose an algorithm to create discrete, dense frame fields that satisfy a sparse set of constraints. By computing a surface deformation that warps a frame field into a cross field, we generalize existing quadrangulation algorithms to generate anisotropic and non-uniform quad meshes whose elements shapes match the frame field. With this, our framework enables users to control not only the alignment but also the density and anisotropy of the elements' distribution, resulting in high-quality adaptive quad meshing.File | Dimensione | Formato | |
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