纤维状物体的虚像相关解析形状确定
Analytical shape determination of fiber-like objects with Virtual Image Correlation
摘要：
本文报道了一种确定变形纤维状物体形状的方法。与现有的方法相比，它提供了分析结果，包括局部斜率和曲率，这是第一重要的，例如，在梁力学。所提出的VIC（虚拟图像相关性）方法包括寻找纤维状物体的图像和虚拟光束图像之间的最佳相关性，使用接近于在实验固体力学中开发的数字图像相关性方法的算法。计算仅涉及纤维附近的图像部分：该方法因此对图片背景不敏感，并且计算成本仍然很低。两个例子：第一个证明了该方法的精度，第二个它的能力，以确定一个复杂的形状与多个循环。
英文摘要：
This paper reports a method allowing for the determination of the shape of deformed fiber-like objects. Compared to existing methods, it provides analytical results including the local slope and curvature which are of first importance, for instance, in beam mechanics. The presented VIC (Virtual Image Correlation) method consists in looking for the best correlation between the image of the fiber-like object and a virtual beam image, using an algorithm close to the Digital Image Correlation method developed in experimental solid mechanics. The computation only involves the part of the image in the vicinity of the fiber: the method is thus insensitive to the picture background and the computational cost remains low. Two examples are reported: the first proves the precision of the method, the second its ability to identify a complex shape with multiple loops.
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