Accuracy Analysis in Fingerprint Authentication Using the Fractional Fourier Transform without Misalignment Correction of Scanned Images
- 1 Graduate School of Engineering, Chiba University, Chiba, Japan
- 2 Graduate School of Engineering, Chiba University, Chiba, Japan
Abstract
In many fingerprint authentication devices, a frame to insert the fingertip or a hollow to put the fingertip is used to avoid the position or rotation misalignment of a newly scanned genuine fingerprint image, when the fingerprint authentication is conducted. Moreover, the misalignment correction by the numerical calculation is indispensable for the fingerprint authentication devices to achieve the high accuracy. In this study, we investigated the effects of misalignment of the scanned genuine fingerprint image with the one used for generating the template on the accuracy in our fingerprint authentication method using the fractional Fourier transform (FRT). As a result, it was found that our method can achieve high authentication accuracy under the condition that the position-misalignment ratio is 17.6% or less and the rotation misalignment (rotation angle) is 28 degrees or less, even if the misalignment correction is not conducted.
- R. Iwai and H. Yoshimura, “A New Method for Improving Robustness of Registered Fingerprint Data Using the Fractional Fourier Transform,” International Journal of Communications, Network and System Sciences, Vol. 3, No. 9, 2010, pp. 722-729. doi:10.4236/ijcns.2010.39096
- R. Iwai and H. Yoshimura, “Matching Accuracy Analysis of Fingerprint Templates Generated by Data Processing Method Using the Fractional Fourier Transform,” International Journal of Communications, Network and System Sciences, Vol. 4, No. 1, 2011, pp. 24-32. doi:10.4236/ijcns.2011.41003
- R. Iwai and H. Yoshimura, “New Method for Increasing Matching Accuracy and Reducing Process Time of Fingerprint Data by the Fractional Fourier Transform,” Proceedings of 2010 IEEE 17th International Conference on Image Processing, Hong Kong, Vol. 3, 26-29 September 2010, pp. 3061-3064. doi:10.1109/ICIP.2010.5654171
- R. Iwai and H. Yoshimura, “High-Accuracy and High-Security Individual Authentication by the Fingerprint Template Generated Using the Fractional Fourier Transform,” In: G. Nikolic, Ed., Fourier Transforms—Approach to Scientific Principles, Chapter 15, 2011, pp. 281-294.
- D. Mendlovic and H. M. Ozatkas, “Fractional Fourier Transforms and Their Optical Implementation: I,” Journal of the Optical Society of America A, Vol. 10, No. 9, 1993, pp. 1875-1881. doi:10.1364/JOSAA.10.001875
- H. M. Ozatkas and D. Mendlovic, “Fractional Fourier Transforms and Their Optical Implementation: II,” Journal of the Optical Society of America A, Vol. 10, No. 12, 1993, pp. 2522-2531. doi:10.1364/JOSAA.10.002522
- F. J. Marinho and L. M. Bernardo, “Numerical Calculation of Fractional Fourier Transforms with a Single Fast-Fourier-Transform Algorithm,” Journal of the Optical Society of America A, Vol. 15, No. 8, 1998, pp. 2111-2116. doi:10.1364/JOSAA.15.002111
- H. M. Ozaktas, Z. Zalevsky and M. A. Kutay, “The Fractional Fourier Transform,” John Wiley & Sons, Upper Saddle River, 2001.
- X. Yang, Q. Tan, X. Wei, Y. Xiang, Y. Yan and G. Jin, “Improved Fast Fractional-Fourier-Transforms Algorithm,” Journal of the Optical Society of America A, Vol. 21, No. 9, 2004, pp. 1677-1681. doi:10.1364/JOSAA.21.001677
- R. Iwai and H. Yoshimura, “Improved Authentication Accuracy by Individually Set Orders of the Fractional Fourier Transform and Effects of Damage of Fingerprint Image on Authentication Accuracy,” International Journal of Communications, Network and System Sciences, Vol. 4, No. 12A, 2011, pp. 770-777. doi:10.4236/ijcns.2011.432095