Abstract

The article is devoted to the study of a possibility of on-line signature verification using the wavelet transform with the radial basis function. Representation of the signature in the form of function, invariant concerning a position, – the signature is replaced by a broken curve and is described using the angles between the adjacent links – is offered. Using the wavelet transforms for the signature description, comparison of expansion coefficients of functions of signatures by the radial basis function to verify signatures is described in detail. In the result of application of the offered method the magnitude of error of first kind has made 4.4%, the magnitude of error of second kind – 2.8%.

Highlights

  • The signature (Plamondon, & Lorette, 1989) was considered as a graphic object only but when appearing the new input equipment a problem of on-line signature verification arose (Plamondon, & Srihari, 2000), that is of signature together with dynamics of its creation (the dynamic signature, the graphic tablet or smartphone is used for input (Sayeed, et al, 2010)

  • The experiment on the on-line signature verification has been conducted on 50 participants

  • The analysis of the signature as biometric characteristic taking into account dynamics has been carried out

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Summary

Introduction

Despite existence of a large number of methods for biometric identification of a personality (Ortega-Garcia, et al, 2002), using the signature for this purpose has widespread application (Jain et al, 2002). Having received the signature samples, the verification system expands dependences X(t), Y(t), Z(t) of each signature to series. For this purpose, as a rule, the discrete Fourier transform is calculated (Anisimova, 2014), Walsh and Haar functions can be used. The standard deviations (or distances) from them, necessary to establish a threshold of discrepancy of the new signature to the original, are defined

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