A new method of low contrast images analysis and segmentation is outlined. The one has providers high sensitivity to detection of visually invisible low contrast areas and simultaneous stability to influence of local small brightness variations. The new method consists of the following four steps. 1) Forming a moving window of size (3x3). Analyzed image brightness pixels into the bounds of the window are considered as coefficients some virtual nonrecursive digital filter. The one is characterized by its spectral characteristic. It gives possibility for comparing to each pixel of analyzed image its virtual spectral characteristic. 2) As information features for further analysis there are using resonance points (magnitudes and frequencies) of virtual magnitude-frequency and group-delay characteristics (namely it stipulated using the method designation as multiparameter topological resonance one). 3) Visualization new synthesized features and separate analysis of the new images. 4) Multiparameter information fusion into one resulting image (if it is needed) on base self-organizing map method. On base our experimental investigations it had been established importance virtual group-delay function (i.e. new information characteristic0 for tasks detection and segmentation low contrast fuzzy regions of analyzed images. Experiments were made with examples of real low contrast images: X-ray CT ,digital mammograms, and geophysical field images. For all situations there were obtained very good practical results.