Mathematical Model of the Biometric System of Fingerprint Authentication for Modern Web-Services

This paper considers mathematical models of biometric fingerprint images, as well as basic computational procedures for fingerprinting. The main stages of processing dactyloscopic portraits based on the selection of local features, their filtering and digital processing are investigated. The developed software implements the transformation of fingerprint images with the subsequent formation of a cryptographically strong password sequence based on them. This allows you to simulate a dactyloscopic authentication system for the purpose of studying certain of its properties, estimating probabilistic performance indicators (error probabilities of the first and second kind), and so on.

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