Metric-Driven RoSy Field Design and Remeshing

—Designing rotational symmetry fields on surfaces is an important task for a wide range of graphics applications. This work introduces a rigorous and practical approach for automatic N-RoSy field design on arbitrary surfaces with user defined field topologies. The user has full control of the number, positions and indices of the singularities (as long as they are compatible with necessary global constraints), the turning numbers of the loops, and is able to edit the field interactively. We formulate N-RoSy field construction as designing a Riemannian metric, such that the holonomy along any loop is compatible with the local symmetry of N-RoSy fields. We prove the compatibility condition using discrete parallel transport. The complexity of N-RoSy field design is caused by curvatures. In our work, we propose to simplify the Riemannian metric to make it flat almost everywhere. This approach greatly simplifies the process and improves the flexibility, such that, it can design ...

• Type: Journal
• Year: 2010
• Where: TVCG
• Authors: Yu-Kun Lai, Miao Jin, Xuexiang Xie, Ying He 0001, Jonathan Palacios, Eugene Zhang, Shi-Min Hu, Xianfeng Gu
• Keywords: N-RoSy field Design, N-rosy fields, Riemannian Metric, TVCG 2010