Spherical parametrization and remeshing
Spherical parametrization and remeshing
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DOI：
10.1145/882262.882274
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发表时间：
2003-07-01
影响因子：
6.2
通讯作者：
Hoppe, H
中科院分区：
文献类型：
--
作者：
Praun, E;Hoppe, H
参数化曲面的传统方法包括将其切割成图表并将其分段映射到平面域上。我们介绍了一个强大的技术，直接参数化的零属曲面到球面域。使这种参数化实用的一个关键因素是基于拉伸的措施的最小化，以减少尺度失真，从而防止欠采样。我们的第二个贡献是一个计划的球形域使用均匀细分多面体域，即四面体，八面体和立方体。我们表明，这些特定的半正则采样可以方便地表示为完全规则的二维网格，即几何图像。此外，这些图像具有简单的边界扩展规则，有助于许多处理操作。应用程序包括几何重新网格化，细节层次，变形，压缩和光滑表面细分。
The traditional approach for parametrizing a surface involves cutting it into charts and mapping these piecewise onto a planar domain. We introduce a robust technique for directly parametrizing a genus-zero surface onto a spherical domain. A key ingredient for making such a parametrization practical is the minimization of a stretch-based measure, to reduce scale-distortion and thereby prevent undersampling. Our second contribution is a scheme for sampling the spherical domain using uniformly subdivided polyhedral domains, namely the tetrahedron, octahedron, and cube. We show that these particular semiregular samplings can be conveniently represented as completely regular 2D grids, i.e. geometry images. Moreover, these images have simple boundary extension rules that aid many processing operations. Applications include geometry remeshing, level-of-detail, morphing, compression, and smooth surface subdivision.