Restoration of Fingerprint Images Using Discrete Version of the Topological Derivative

In biometrics, fingerprint identification requires higher accuracy for getting clear ridge patterns. But, during acquisition the images are degraded due to geometrically warped, blurred, noisy and down sampled images. Several methods have been attempted to restore the original image and topological derivative (TD) is one such technique we have demonstrated in this work. We computed the TD for an appropriate function associated to the image by assigning a diffusion factor k, which indicates the cost endowed to a specific image. To achieve fast computation time over the traditional Continuous Topological Derivative (CTD), discrete topological derivative (DTD) has been implemented in this work. The performance and efficiency of DTD technique are estimated by calculating the PSNR ratio and compared with the classical methods, which indicates that DTD is capable of producing high quality fingerprint images with greater fidelity than the other restoration techniques.