Research On The General Problems Of Image Morphological Correlation Coefficient

Image similarity measurement is widely used in object recognition,image classification and image matching,image processing and analysis,image intensity and geometry are the two important factors related to problems of image measurement,image similarity can be estimated by the similarity measure based on the image intensity and geometrical shape.In Pyt'ev projection morphological method,as a piecewise constant function to image(Mosaic image)the basic representation of the image,Pyt'ev and Vizilter proposed a similarity measure based on the established division of Mosaic image spatial domain geometry,and Vizilter's research results generalize Pyt'ev theory.The image model space which is more complex and can reflect the image composition better than the Mosaic image is represented by piecewise function or piecewise vector function,it is a kind of more general image representation.Based on the existing literature research results,aiming at the above general image model space,we study the image similarity comparison problem from piecewise function or piecewise vector function in terms of methods and forms.In this image as a representation of piecewise function and piecewise vector function,the research of image similarity comparison problems.Firstly,image slice function,using the spatial domain of the image division said,established a specific representation of linear correlation coefficient;the study of image space and related structures,is constructed based on a comparison of space projection operator,and on this basis,the paper studies the method of building image morphological correlation coefficient and specific representation,the result obtained by the existing literature research promotion in the form of the image.The basic research methods and research results in the piecewise function,research for further image segment vector function representation,through the representation of such images,the linear correlation coefficient and correlation coefficient with morphology to describe the degree of similarity value of the image,a correlation coefficient of the concrete form,the results obtained by the single value image of the situation as a special case.The research results of this paper generalize the Mosaic correlation coefficient of the image representation of image morphological correlation coefficients of vector function results are more general.This paper not only promote the research work on the Pyt'ev and Vizilter at the same time,some new research ideas and methods are also presented.