中文摘要：

图像匹配是图像分析领域中的一个很重要的研究内容。图像相关性的研究是提高图像匹配精度的关键,分形由于具有自相似这一重要特征在充分利用图像相关性方面独具潜力。本文提出了一种基于分形维数的亚像素图像匹配算法,该方法通过在被匹配图中遍历搜索模板子区和对子区进行次子区划分,采用最优盒计数法求取模板子区和搜索子区中次子区的分形维数,根据统计相关性原理找到相似性最大位置,然后利用分形插值法将匹配点定位到亚像素级,实现高精度的图像匹配。实验证明,该方法具有良好的匹配效果。

英文摘要：

Image matching is very important in the field of image analysis.Studying on image correlation is the key to improve the accuracy of image matching while the fractal self-similarity has the unique potential in making full use of image correlation.This paper presents an algorithm of the sub-pixel image matching based on fractal dimension.Firstly,by searching template subarea based on traverse in being matched image,the sub-subareas are classified.Then,the fractal dimension of subareas and sub-subareas is calculated by using optimal box counting method.Similarity maximum position can be found according to the statistical correlation.Finally,fractal interpolation method is used to improve the precision of image matching.Both theoretical analysis and experimental results show that this approach has good matching results.