论文标题
将谷物图变成图表
Turning grain maps into diagrams
论文作者
论文摘要
本文研究用于代表，成像和分析多晶材料的数学模型。我们介绍了各种将晶粒图转换为依赖于群集的图表或镶嵌表示的技术。特别是，我们展示了如何从[1]中显着加速广义平衡幂图方法以及如何扩展其以允许对所有相关参数进行优化。根据$ 339 \ times 339 \ times 599 $ voxels的3D现实世界数据集给出了建议方法的准确性的比较。
The present paper studies mathematical models for representing, imaging, and analyzing polycrystalline materials. We introduce various techniques for converting grain maps into diagram or tessellation representations that rely on constrained clustering. In particular, we show how to significantly accelerate the generalized balanced power diagram method from [1] and how to extend it to allow for optimization over all relevant parameters. A comparison of the accuracies of the proposed approaches is given based on a 3D real-world data set of $339\times 339 \times 599$ voxels.
