Optimal transport-based polar interpolation of directional fields
ACM Transactions on Graphics (TOG)(2019)
摘要
We propose an algorithm that interpolates between vector and frame fields on triangulated surfaces, designed to complement field design methods in geometry processing and simulation. Our algorithm is based on a polar construction, leveraging a conservation law from the Hopf-Poincaré theorem to match singular points using ideas from optimal transport; the remaining detail of the field is interpolated using straightforward machinery. Our model is designed with topology in mind, sliding singular points along the surface rather than having them appear and disappear, and it caters to all surface topologies, including boundary and generator loops.
更多查看译文
关键词
frame fields, optimal transport
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络