显微镜图像中层压芯层厚度的测定

Q1 Mathematics
Stefan Hartmann, Pranav Kumar Dileep, Mohamed Harhash, Heinz Palkowski
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引用次数: 2

摘要

在形成条件下由金属-聚合物-金属(MPM)层制成的夹层板中,沿薄层试样的厚度变化特别令人感兴趣。为了测量这种分布,通常采用显微图像并手动确定特定离散点的厚度。我们比较并提供了几种从显微图像确定厚度分布的方法。首先,选择一种插值方案来获得层间接口的连续函数,而不是离散的像素数据。在此基础上,对直纹曲面法、正交投影法、内嵌圆法和一种单调而简单的方法进行了应用和比较。对于非常光滑的数据,大多数方案都显示出等效的结果。然而,“蛮力”——被称为“迟钝方法”——被证明是最稳健的方案,特别是在研究有噪声的数据时。采用高斯误差传播的概念,研究了由噪声像素数据引起的不确定性。这些格式也适用于有限元模拟结果,从而可以直接比较实验数据和数值数据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Thickness determination of laminate core layers from microscopy images

Thickness determination of laminate core layers from microscopy images

In sandwich laminates made of metal–polymer–metal (MPM) layers under forming conditions, the thickness changes along the thin-layered specimens are of particular interest. To measure this distribution, it is common to take microscopic images and determine manually the thicknesses at particular discrete points. We compare and provide several methods determining the thickness distribution from microscopic images. First, an interpolation scheme is chosen to obtain a continuous function of the interfaces between the layers instead of the discrete pixel data. Afterwards, the methods—ruled surface approach, orthogonal projection, embedded circle scheme, and a dull but simple method—are applied and compared with each other. For very smooth data, most of the schemes show equivalent results. However, the “brute force”—called the dull approach—turns out to be the most robust scheme, particularly, if noisy data is studied. The Gaussian error propagation concept is applied to study the uncertainties resulting from noisy pixel data. The schemes are adapted to finite element simulation results as well so that a direct comparison of experimental and numerical data would be possible.

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来源期刊
GAMM Mitteilungen
GAMM Mitteilungen Mathematics-Applied Mathematics
CiteScore
8.80
自引率
0.00%
发文量
23
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