论文标题

通过快速启发式图表表示动态谷物模型

Dynamic grain models via fast heuristics for diagram representations

论文作者

Alpers, Andreas, Fiedler, Maximilian, Gritzmann, Peter, Klemm, Fabian

论文摘要

本文介绍了用于研究动态晶粒生长的数学模型。特别是,我们展示了在离散时间时刻的特征测量,谷物体积,质心和中央二阶时刻如何在几何图中迅速变成对谷物生长过程的连续描述(这在很大程度上概括了众所周知的voronoi和laguerre tessellations)。我们在现实世界数据上评估了算法的计算行为。

The present paper introduces a mathematical model for studying dynamic grain growth. In particular, we show how characteristic measurements, grain volumes, centroids, and central second-order moments at discrete moments in time can be turned quickly into a continuous description of the grain growth process in terms of geometric diagrams (which largely generalize the well-known Voronoi and Laguerre tessellations). We evaluate the computational behavior of our algorithm on real-world data.

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