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Stereo Imaging Camera Model for 3D Shape Reconstruction of Complex Crystals and Estimation of Facet Growth Kinetics

机译:复杂晶体三维形状重建的立体成像相机模型及小面生长动力学估算

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摘要

The principle that the 3D shape of crystals that grow from a solution can be characterised in real-time using stereo imaging has been demonstrated previously. It uses the 2D images of a crystal that are obtained from two or more cameras arranged in defined angles as well as a mathematical reconstruction algorithm. Here attention is given to the development of a new and more robust 3D shape reconstruction method for complicated crystal structures. The proposed stereo imaging camera model for 3D crystal shape reconstruction firstly rotates a digitised crystal in the three-dimensional space and varies the size dimensions in all face directions. At each size and orientation, 2D projections of the crystal, according to the angles between the 2D cameras, are recorded. The contour information of the 2D images is processed to calculate Fourier descriptors and radius-based signature that are stored in a database. When the stereo imaging instrument mounted on a crystalliser captures 2D images, the images are segmented to obtain the contour information and processed to obtain Fourier descriptors and radius-based information. The calculated Fourier descriptors and radius-based signature are used to find the best matching in the database. The corresponding 3D crystal shape is thus found. Potash alum crystals that each has 26 habit faces were used as a case study. The result shows that the new approach for 3D shape reconstruction is more accurate and significantly robust than previous methods. In addition, the growth rates of {111}, {110} and {100} faces were correlated with relative supersaturation to derive models of facet growth kinetics.
机译:先前已经证明了可以使用立体成像实时表征从溶液中生长的晶体的3D形状的原理。它使用从两个或多个按定义角度排列的摄像机获得的晶体的2D图像以及数学重建算法。在此,我们着重开发了一种用于复杂晶体结构的新型且更强大的3D形状重建方法。提出的用于3D晶体形状重构的立体成像相机模型首先在三维空间中旋转数字化晶体,然后在所有面方向上更改尺寸大小。在每个尺寸和方向上,根据2D摄像机之间的角度,记录晶体的2D投影。处理2D图像的轮廓信息以计算存储在数据库中的傅立叶描述符和基于半径的签名。当安装在结晶器上的立体成像仪捕获2D图像时,将图像进行分割以获得轮廓信息,并进行处理以获得傅里叶描述符和基于半径的信息。计算出的傅立叶描述符和基于半径的签名用于在数据库中找到最佳匹配。因此找到了相应的3D晶体形状。案例研究使用了钾肥明矾晶体,每个晶体都有26个习惯面。结果表明,与以前的方法相比,用于3D形状重建的新方法更加准确并且具有明显的鲁棒性。此外,将{111},{110}和{100}面的生长速率与相对过饱和相关联,以得出面生长动力学模型。

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