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A quantitative description of the morphological aspects of materials structures suitable for quantitative comparisons of 3D microstructures

机译:适用于3D微观结构定量比较的材料结构形态方面的定量描述

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摘要

While several laboratories can produce 3D models of microstructure from serial sectioning or tomography, the more widespread practice is to attempt to infer 3D shapes from 2D sections of different orientations. We have developed a forward modeling approach that, given a 3D particle shape, produces statistically representative 2D sections whose projections are characterized by 2D moment invariants (MI). Since the sectioning plane is random, each particle will produce a statistical distribution of 2D moments and an ensemble of particles in a microstructure will produce its own characteristic distribution of 2D moments and can be used as a representation of the microstructure. This distribution can be represented as a point in a metric space. We use the Hellinger distance as the measure for this space, which allows us to quantify the similarity of two microstructures. Example applications include: determination of a 3D shape by computing the Hellinger distance between MI density maps derived from random 2D section micrographs and the density map database; automated detection and quantification of rafting in cuboidal microstructures; and quantitative comparison of pairs of microstructures.
机译:虽然几个实验室可以通过连续切片或断层扫描来生成微观结构的3D模型,但更广泛的实践是尝试从不同方向的2D切片中推断3D形状。我们已经开发出一种正向建模方法,在给定3D粒子形状的情况下,可以产生统计上具有代表性的2D截面,其投影以2D矩不变量(MI)为特征。由于截面是随机的,因此每个粒子将产生2D矩的统计分布,并且微结构中的粒子整体将产生其自己的2D矩特征分布,并且可以用作微结构的表示。该分布可以表示为度量空间中的一个点。我们使用Hellinger距离作为该空间的度量,这使我们能够量化两个微观结构的相似性。示例应用程序包括:通过计算从随机2D截面显微图得出的MI密度图与密度图数据库之间的Hellinger距离,确定3D形状;自动检测和定量长方体微结构中的漂流;和对微结构的定量比较。

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