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Figure 1: Comparison of our approach with the representative state-of-the-art approaches. From left to right: a 6-RoSy field defining the Moai surface, remeshing results of blue-noise sampling [YW13], discrete mesh optimization [DVBB13], centroidal Voronoi Tessellation [YLL*09], instant field-aligned meshing [JTPS15], and our result. The irregular vertices of the remeshes are colored using blue (degree < 6) and pink (degree > 6) colors. The mesh quality is given in Table 2. Our remeshing is both isotropic and field aligned, i.e., it has only a few irregular vertices similar to [JTPS15] while keeping the mesh quality as high as a CVT-based method [YLL*09].

Abstract

We present a novel isotropic surface remeshing algorithm that automatically aligns the mesh edges with an underlying directional field. The alignment is achieved by minimizing an energy function that combines both centroidal Voronoi tessellation and the penalty enforced by a six-way rotational symmetry (6-RoSy) field. The CVT term ensures the uniform distribution of the vertices and the high remeshing quality, while the field constraint enforces the directional alignment of the edges. Experimental results show that the proposed approach has the advantages of both isotropic remeshing and field-aligned remeshing. We demonstrate that our algorithm is superior to the representative state-of-the-art approaches in various aspects.

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