Quantitative Fiber Orientation Analysis of Carbon Fiber Sheet Molding Compounds using Polarization Imaging and X-Ray Computed Tomography

This data set is the supplementary material for the paper[1] M. Duhovic, A. Keilmann, D. Schommer, C. Redenbach, K. Schladitz, 2024. Quantitative Fiber Orientation Analysis of Carbon Fiber Sheet Molding Compounds using Polarization Imaging and X-Ray Computed Tomography.Here, we validated polarization imaging of carbon sheet molding compounds (C-SMC) for fiber orientation estimation.It includes polarization and computed tomography (CT) images of 8 C-SMC specimens.

Polarization images: Each specimen has 2 polarization images, one for the top surface and one for the bottom surface, representing the local fiber orientation. The fiber orientations are coded as integer values in degrees, ranging from 1° to 180°, with 0 indicating the image background. The orientation system is anti-clockwise with 0° aligned with the negative y-axis. For example, rotating 30° anti-clockwise from the direction of the x-axis yields 120°. The images are of size 1232x1028 pixels with a pixel spacing of 210 um (filetype: TIF).

CT scans: Nine tiles were cut from each specimen, and each tile was scanned using CT to capture the fibers. We provide the aligned x-y-slices of size 1520x1520 with a voxel spacing of 25 um (filetype: PNG).

Fiber orientations: The dataset also includes fiber orientations (only within the x-y-plane) derived from the CT images. The fiber orientations are coded as integer values in degrees, ranging from 1° to 180°, with 0 indicating the image background. The orientation system is clockwise with 0° aligned with the negative x-axis. For example, rotating 30° anti-clockwise from the direction of the x-axis yields 150°. These images are 1440x1440 pixels with a voxel spacing of 25 um (filetype: TIF). The fiber orientations were calculated using methods described in the accompanying paper. Note: The images' orientation system differs from the one of the polarization images. This is taken into account in the accompanying code and analyses.

Source code: The dataset is processed with a jupyter notebook to register the polarization and CT images and calculate the final similarity measure. Density analysis was conducted in R. Both the jupyter notebook and the R Notebook contain the results for each specimen.

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For each investigated specimen (stored in directories labeled C-SMC_*), the dataset is structured as follows:

polarization_image/: Contains two polarization images for each specimen, representing the top (*t.bmp) and bottom (*b.bmp) surfaces.Example:C-SMC_19/polarization_image/19t.tif (top surface)C-SMC_01/polarization_image/19b.tif (bottom surface)

CT/: Contains CT image slices of the CT, organized by tile for each specimen. Each tile consists of multiple x-y aligned slices.Example:C-SMC_19/CT/tile1/Slice000.pngC-SMC_19/CT/tile1/Slice001.pngC-SMC_19/CT/tile2/Slice000.png

fiber_orientations/: Contains the fiber orientation results calculated from the CT images for each tile of the specimen.Example:C-SMC_19/fiber_orientations/tile1/Slice000.tifC-SMC_19/fiber_orientations/tile1/Slice001.tifC-SMC_19/fiber_orientations/tile2/Slice000.tif

The source code is stored in the directory src.

For more details, refer to [1].

本数据集为论文[1]的补充材料，论文信息为：M. Duhovic、A. Keilmann、D. Schommer、C. Redenbach、K. Schladitz，2024年，《基于偏振成像与X射线计算机断层扫描的碳纤维片状模塑料纤维取向定量分析》（Quantitative Fiber Orientation Analysis of Carbon Fiber Sheet Molding Compounds using Polarization Imaging and X-Ray Computed Tomography）。本工作验证了碳纤维片状模塑料（Carbon Fiber Sheet Molding Compounds, C-SMC）的偏振成像（Polarization Imaging）方法用于纤维取向（fiber orientation）估计的有效性。数据集包含8个C-SMC试样的偏振成像与计算机断层扫描（Computed Tomography, CT）图像。

偏振图像：每个试样配有2张偏振图像，分别对应试样的上表面与下表面，用于表征局部纤维取向。纤维取向以整数度数编码，取值范围为1°至180°，0值代表图像背景。取向坐标系为逆时针方向，0°与y轴负方向对齐。例如，从x轴方向逆时针旋转30°，对应取向值为120°。图像分辨率为1232×1028像素，像素间距为210 μm，文件格式为TIF。

CT扫描：从每个试样上切割得到9个试样块，每个试样块均通过CT扫描以捕捉纤维分布信息。本数据集提供了对齐后的x-y平面切片，分辨率为1520×1520，体素（voxel）间距为25 μm，文件格式为PNG。

纤维取向：数据集还包含从CT图像中提取的纤维取向信息（仅覆盖x-y平面内的取向）。纤维取向以整数度数编码，取值范围为1°至180°，0值代表图像背景。本次采用的取向坐标系为顺时针方向，0°与x轴负方向对齐。例如，从x轴方向逆时针旋转30°，对应取向值为150°。此类图像分辨率为1440×1440像素，体素间距为25 μm，文件格式为TIF。纤维取向通过配套论文中所述方法计算得到。注意：CT纤维取向图像的坐标系与偏振图像的坐标系存在差异，该差异已在配套代码与分析流程中完成适配。

源代码：本数据集通过Jupyter Notebook（Jupyter记事本）进行处理，用于实现偏振图像与CT图像的配准，并计算最终的相似性度量。密度分析通过R语言完成。Jupyter Notebook与R Notebook均包含了每个试样的分析结果。

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对于每个被研究的试样（存储在以C-SMC_*命名的目录中），数据集的组织结构如下：

polarization_image/：存储每个试样的2张偏振图像，分别对应上表面（命名格式为*t.tif）与下表面（命名格式为*b.tif）。示例：C-SMC_19/polarization_image/19t.tif（上表面）；C-SMC_01/polarization_image/19b.tif（下表面）。

CT/：存储CT图像切片，按试样的切割块组织。每个切割块包含多张对齐的x-y平面切片。示例：C-SMC_19/CT/tile1/Slice000.png；C-SMC_19/CT/tile1/Slice001.png；C-SMC_19/CT/tile2/Slice000.png。

fiber_orientations/：存储从每个试样的切割块的CT图像中计算得到的纤维取向结果。示例：C-SMC_19/fiber_orientations/tile1/Slice000.tif；C-SMC_19/fiber_orientations/tile1/Slice001.tif；C-SMC_19/fiber_orientations/tile2/Slice000.tif。

源代码存储在src目录下。

更多细节可参考[1]。