论文标题
八面体框架用于特征跨场
Octahedral Frames for Feature-Aligned Cross-Fields
论文作者
论文摘要
我们提出了一种在表面上设计平滑跨场的方法，该表面自动与基础几何形状的尖锐特征保持一致。我们的方法基于球形谐波的跨场的表示，引入了一种新颖的能量。我们在平滑环境中对这些能量进行了理论分析，表明它们会惩罚与表面折痕的偏差，同时又促进了本质上平滑的场。我们证明了我们方法对四式锻炼的适用性，并包括一个广泛的基准测试，将我们的字段与其他自动方法进行比较，以在三角形网格上生成特征成立的跨场。
We present a method for designing smooth cross fields on surfaces that automatically align to sharp features of an underlying geometry. Our approach introduces a novel class of energies based on a representation of cross fields in the spherical harmonic basis. We provide theoretical analysis of these energies in the smooth setting, showing that they penalize deviations from surface creases while otherwise promoting intrinsically smooth fields. We demonstrate the applicability of our method to quad-meshing and include an extensive benchmark comparing our fields to other automatic approaches for generating feature-aligned cross fields on triangle meshes.
