论文标题
通过距离函数的变异近似对切割基因座的数值计算
Numerical computation of the cut locus via a variational approximation of the distance function
论文作者
论文摘要
我们提出了一种新方法，用于对$ \ mathbb {r}^3 $的紧凑型子手机的剪切基因座的数值计算。该方法基于带有圆锥约束的凸变性问题，并具有可靠的收敛性。我们通过在$ \ mathbb {r}^3 $的嵌入式表面上的voronoi单元格的近似来说明我们的方法的多功能性。
We propose a new method for the numerical computation of the cut locus of a compact submanifold of $\mathbb{R}^3$ without boundary. This method is based on a convex variational problem with conic constraints, with proven convergence. We illustrate the versatility of our approach by the approximation of Voronoi cells on embedded surfaces of $\mathbb{R}^3$.
