Surfel曲面上的离散复结构
Discrete Complex Structure on Surfel Surfaces
摘要：
本文定义了一种由带法向量的曲面构成的数字曲面的保角参数化理论。其主要思想是将每个面元局部投影到切平面，从而使其纵横比变形。它是已知的多面体曲面理论的推广。主要的区别是，出现的共形比一般不再是真实的。它产生了一个推广的标准拉普拉斯加权图。
英文摘要：
This paper defines a theory of conformal parametrization of digital surfaces made of surfels equipped with a normal vector. The main idea is to locally project each surfel to the tangent plane, therefore deforming its aspect-ratio. It is a generalization of the theory known for polyhedral surfaces. The main difference is that the conformal ratios that appear are no longer real in general. It yields a generalization of the standard Laplacian on weighted graphs.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
