扩散形态算子在图像比较中的应用

Application of Diffusion Morphology Operators in Image Comparisons

将Laplacian特征映射和扩散映射的方法应用于图像数据,通过对图像热核及扩散核相关问题的研究,提出了建立扩散形态算子及运用于图像相似性比较问题的基本框架,证明了Pyt'ev形态分析理论中的投影算子及形态相关系数是扩散形态算子及扩散形态相关系数在马赛克图像模式下的特殊情形;与此同时,还对相关算法的具体实现方法和参数选择方式进行了适当改进,使得在图像比较中的相关数据实验结果得到一定的改善.

Laplacian eigenmaps and diffusion maps are applied to image data.Based on the research on the related problems of heat kernel and diffusion kernel of image,the basic framework of establishing diffusion morphological operators and comparison of image similarity is proposed.It is proved that projection operator and morphological correlation coefficient in Pyt′ev morphological analysis theory are the special cases of diffusion morphological operator and diffusion morphological correlation coefficient in Mosaic image mode.At the same time,appropriate improvement for the algorithm implementation and parameter selection is made,so that the experimental results of the related data in the image comparison are improved.