基于图像分形相关位移测量新方法的研究

本文从分形理论出发提出了图像分形相关位移测量的新方法。较之20世纪80年代发展起来的以像素的灰度相关为基础的数字散斑相关法，分形相关法更充分地利用了散斑图的相关性特征，有关更深入的发展潜力。为了验证理论与方法的可靠性，进行了验证性实验并和数字散斑相关法的测试结果进行了比较。测试结果显示，测试精度至少可达0.06个像素。最后讨论了这一方法的发展前景。

Study on a New Method of Displacement Measurement Based on Fractal Image Correlation

The classical digital speckle correlation method of deformation measurement is based on gray correlation between the images before and after deformation. In fact, this kind of images are fractal and its fractal dimension represents both gray and morph information. A fractal dimension correlation method of displacement measurement is developed. This new method fully takes the advantage of the correlation behavior of digital images, so, it could be more precise than the classical one. In order to verify validity of it, an experiment is designed. The result shows that its precision is better than 0.06 pixels.