论文标题
离散共形转换的收敛分析
Convergence Analysis of Discrete Conformal Transformation
论文作者
论文摘要
连续的保形转换最大程度地减少了保形能量。当离散网格尺寸趋于零时，最小化离散的共形能量的收敛性是一个空旷的问题。本文通过对离散的共形能量进行仔细的错误分析来解决此问题。在三角剖分的情况下，随着网格尺寸趋向于零，离散共形能量的离散函数将离散的共形能量收敛到连续的共形映射。
Continuous conformal transformation minimizes the conformal energy. The convergence of minimizing discrete conformal energy when the discrete mesh size tends to zero is an open problem. This paper addresses this problem via a careful error analysis of the discrete conformal energy. Under a weak condition on triangulation, the discrete function minimizing the discrete conformal energy converges to the continuous conformal mapping as the mesh size tends to zero.
