Methods of Statistical Spatial Filtering of Images on the Basis of a Local Group of Transformations

摘要

New methods for processing images that are based on statistical estimates of the invariants of the groups of automorphism of images are considered. A group theoretical statistical approach to the solution of image reconstruction problems, which allows visualization of the structural and func tional connections in a tested object, was developed. The proposed methods are applied to the solution of problems of the reconstruction of noisy images in nondestructive testing.