Abstract

The matching accuracy of the fingerprint templates which were generated by our previously proposed data processing method using the fractional Fourier transform (FRT) was analyzed. The minimum error rate (MER) derived from the false acceptance rate (FAR) and the false rejection rate (FRR) is the criterion of the matching accuracy in this study, and was obtained statistically by the peak value of the normalized cross-correlation function between the fingerprint template and the intensity FRT of the subject’s fingerprint. In our analysis, the fingerprint template was obtained as the intensity FRT of one-dimensional (1D) finite rectangular wave by which a line of a real fingerprint image is modeled. Moreover, various modified 1D finite rectangular waves were generated to derive the FAR. Furthermore, the 1D finite rectangular wave with random noise regarded as dirt of a fingerprint and the one with random vanishing ridges regarded as damage of a fingerprint were generated to derive the FRR. As a result, it was clarified that fingerprint templates generated by our data processing method using the FRT could provide high matching accuracy in the fingerprint authentication from the viewpoint of the MER.

Highlights

  • In the previous study, we developed a new data processing method for generating the fingerprint template using the Fourier transform (FRT) [1,2,3,4,5] in order to take into account the protection of personal information [6]

  • The 1D finite rectangular wave with random noise regarded as dirt of a fingerprint and the one with random vanishing ridges regarded as damage of a fingerprint were generated to derive the false rejection rate (FRR)

  • It was clarified that fingerprint templates generated by our data processing method using the FRT could provide high matching accuracy in the fingerprint authentication from the viewpoint of the minimum error rate (MER)

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Summary

Introduction

We developed a new data processing method for generating the fingerprint template using the FRT [1,2,3,4,5] in order to take into account the protection of personal information [6]. We analyze the matching accuracy of the fingerprint templates generated by our previously proposed data processing method, because the biological identifier does not always have the same condition so that there is a possibility of false authentication.

Relationship between a Modeled Authentic Fingerprint Image and the Template
Case of Adding Random Noises
Case of Vanishing Ridges
Matching Accuracy on the Basis of the MER Derived from the FAR and the FRR
Conclusions
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