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Direct Spherical Parameterization of 3D Triangular Meshes Using Local Flattening Operations

机译:使用局部扁平化操作的3D三角网格的直接球形参数化

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摘要

In this paper, we propose a novel spherical parameterization approach tor closed, genus-0, two-manifold, 3D triangular meshes. The method exploits a modified version of the Gaussian curvature, associated to the model vertices. Valid spherical embeddings are obtained by locally flattenins the mesh in an iterative manner, which makes it possible to convert the initial mesh into a rounded, sphere-like surface that can be directly mapped onto the unit sphere Our approach shows superior performances with respect to state of the art techniques, with a reduction in terms of angular and area distortions of more than 35% and 19% respectively.
机译:在本文中,我们提出了一种新颖的球形参数化方法Tor闭合,0,双歧管,3D三角网。该方法利用与模型顶点相关联的高斯曲率的修改版本。通过迭代方式局部扁平素可以获得有效的球形嵌入物,这使得可以将初始网格转换成可以直接映射到单元球上的圆形的球形表面,我们的方法示出了相对于状态的优异性能本文的技术,分别减少了大于35%和19%的角度畸变。

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