Ateb-Gabor Filtering Method in Fingerprint Recognition

Abstract

A new filtration method of Ateb-Gabor for biometric security systems has been developed. It is substantiated that the developed method possesses all the properties of the classic Gabor filter. This greatly extends the functionality of the Gabor filter. Atebfunctions are a generalization of elementary trigonometry, therefore, they have greater functional capacity. The properties of Ateb-Gabor filtering are derived. The application of Ateb-Gabor filtering to images by introducing a two-dimensional Ateb-Gabor filter is considered. Examples of frequency characteristics with different parameters of the Ateb-Gabor filter have been developed. Examples of frequency characteristics with different parameters of the Ateb-Gabor filter have been developed. A data set for filtration was developed in the biometric security system. For this purpose, the bank of the frequency characteristics of the Ateb-Gabor filter has been formed. Experimental samples of filtration have been presented. The expediency of using the new filter is substantiated basing on comparing the filtered Gabor filter and the Ateb-Gabor filter by the metric PSNR - peak signal-to-noise ratio.