Sains Malaysiana 44(10)(2015): 1511–1519

Evaluation of Bayesian Model and MCMC Validity in Verification of Piecewise Smooth Signature

(Penilaian Model Bayesian dan Kesahihan MCMC dalam Mengesahkan Kelicinan Tandatangan Cebis demi Cebis)

M. BEHBOUDI¹*, E. PASHA² & K. SHAFIE³

¹Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran

Iran

²Department of Mathematics and Computer Science, Kharazmi University, Karaj

Iran

³Department of Applied Statistics and Research Methods, College of Education & Behavioral Sciences, University of Northern Colorado, Greeley, 80639 Colorado, USA

Received: 5 June 2013/Accepted: 15 June 2015

ABSTRACT

McKeague offered a new method for verification of off-line signature based on Bayesian Model and Markov Chain Monte Carlo (MCMC), in which smoothness of the signature curve seems a necessity (it should have no singular point), but when a signature is piecewise smooth, can we use this method for verification of this signature? If yes, how can we use that? And is this method appropriate for piecewise-smooth signatures too? In the current article, we give an idea for verification of a piecewise smooth signature based on McKeague's method. We suggest to separate the smooth segments from singular points and then each segment is verified by McKeague's method independently. Finally, according to the result from smooth segments, we determine the correctness of this signature. Then we will check the validity of this idea with computing errors via simulation.

Keywords: Biometric identification; functional data analysis; spatial point process; time warping

ABSTRAK

McKeague menawarkan satu kaedah baru untuk pengesahan tandatangan luar talian berdasarkan Model Bayesian dan Rantai Markov Monte Carlo (MCMC) dengan kelancaran lengkung tandatangan seolah-olah satu keperluan (ia tidak seharusnya mempunyai titik tunggal), tetapi apabila kelicinan tandatangan cebis demi cebis, bolehkah kita gunakan kaedah ini untuk pengesahan tandatangan ini? Jika ya, bagaimana boleh kita menggunakannya? Adakah kaedah ini juga sesuai untuk kelicinan tandatangan cebis demi cebis? Dalam kajian ini, kami memberikan idea untuk pengesahan kelicinan tandatangan cebis demi cebis berdasarkan kaedah McKeague. Kami cadangkan supaya segmen kelicinan dipisahkan daripada titik tunggal dan setiap segmen kemudiannya disahkan melalui kaedah McKeague secara berasingan. Kesimpulannya, berdasarkan hasil daripada segmen kelicinan, kami menentukan ketepatan tandatangan ini. Kemudian kami akan menyemak kesahihan idea ini dengan kesilapan pengkomputeran melalui simulasi.

Kata kunci: Analisis data fungsi; masa meleding; pengenalan biometrik; proses titik reruang

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*Corresponding author; email: m.behboudi@srbiau.ac.ir