Traditional morphology uses fixed structuring elements to perform morphological operations on images

which can easily change the edge of images. Firstly

the linear structure tensor of images is calculated. Then

the eigenvalues and eigenvectors of linear structure tensor are used to determine the semi-majoraxes

the semi-minor axes and the direction of elliptical structuring elements. Finally

on the basis of constructing elliptical structural elements

the adaptive morphological dilation and erosion

opening and closing are defined. The experimental results show that the adaptive morphological operations using elliptical structuring elements have better edge preservation and anti-noise performance than traditional morphological operations and other adaptive morphological operations

and the gradient magnitude similarity deviation is smaller.