论文标题

在平流和平均曲率流下的球

Sphere Under Advection and Mean Curvature Flow

论文作者

Besler, Bryce A., Kemp, Tannis D., Forkert, Nils D., Boyd, Steven K.

论文摘要

对流和平均曲率流程用作骨微结构适应的模型。它是与规定的平均曲率流相同的几何流量,并具有额外的速率项。为了验证模拟该流量并开发反求解器的数值方法,得出了一个封闭形式的解决方案,用于对流和平均曲率流的封闭式解决方案。

Advection and mean curvature flow is used as a model of bone microarchitecture adaptation. It is an equivalent geometric flow to prescribed mean curvature flow with an additional rate term. In order to validate numerical methods for simulating this flow and developing an inverse solver, a closed-form solution for advection and mean curvature flow of a sphere is derived.

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