This article examines the use of generalized logarithmic image 
processing model for differential-based edge detection. 
The results are compared determination of edge areas 
of the image in different ways, namely: classic Sobel, 
generalized logarithmic model and Jourlin-Pinoli model, 
which is a special case of the previous one. 
The influence of model parameter values of controlling 
the quality of the selection of boundaries in order 
to choose its optimal value was investigated. 
The research results are illustrated by examples.