Research On Optimization Of Morphological Filtering For Spatial Variation

Aiming at the research on optimization of morphological filtering for spatial variation,this paper proposes an optimal morphological filtering design method based on SV morphological theory,which is mainly divided into the following three parts:Firstly,the problem of similarity measurement of image and related geometric structure is solved by establishing SV morphological pattern spectrum,and the set of smooth filter is determined,which greatly reduces the range for selecting the optimal operator of SV morphological filter.Secondly,the set gap separation function is introduced to solve the problem of quantifying the degree of geometric and topological distortion caused by morphological filtering.Through the design of the optimization problem,a balance strategy is found between effective denoising and maintaining the basic structure of the image,so that the operator optimization problem of SV morphological filtering can be solved.Finally,based on the optimization of SV morphological filter operator,the parameter optimization of SV optimal morphological filter is further studied.Based on the characteristics of noise particles in the image and the basic properties of SV shape opening and closing,a new structure mapping sequence is introduced to narrow the range of parameters in SV shape filtering optimization problem.Taking the upper bound of the recovery error determined by the set gap separation function as the optimization objective,the upper and lower bounds of SV morphological filtering are estimated by using the estimation method of minimax problem,and the parameter optimization value of SV morphological filtering is finally obtained.