*Article* **Estimation of Symmetry in the Recognition System with Adaptive Application of Filters**

**Volodymyr Hrytsyk 1, Mykola Medykovskyy 1 and Mariia Nazarkevych 2,\***


**\***Correspondence: mariia.a.nazarkevych@lpnu.ua

**Abstract:** The aim of this work is to study the influence of lighting on different types of filters in order to create adaptive systems of perception in the visible spectrum. This problem is solved by estimating symmetry operations (operations responsible for image/image transformations). Namely, the authors are interested in an objective assessment of the possibility of reproducing the image of the object (objective symmetry of filters) after the application of filters. This paper investigates and shows the results of the most common edge detection filters depending on the light level; that is, the behavior of the system in a room with indirect natural and standard (according to the requirements of the educational process in Ukraine) electric lighting was studied. The methods of Sobel, Sobel x, Sobel y, Prewitt, Prewitt x, Prewitt y, and Canny were used and compared in experiments. The conclusions provide a subjective assessment of the performance of each of the filters in certain conditions. Dependencies are defined that allow giving priority to certain filters (from those studied) depending on the lighting.

**Keywords:** edge detectors; PSNR evaluation; adaptive system
