Seeded Ising model and the statistical nature of human iris templates

Chang Yong Han, Song-Hwa Kwon, Hyeong In Choi, Sung Jin Lee, and Nam-Sook Wee
Phys. Rev. E 98, 032115 – Published 11 September 2018

Abstract

We propose a variant of the Ising model, called the seeded Ising model, to model the probabilistic nature of human iris templates. This model is an Ising model in which the values at certain lattice points are held fixed throughout the Ising model evolution. By using this model we show how to reconstruct the full iris template from partial information, and we show that about 1/6 of the given template is needed to recover almost all of the information content of the original in the sense that the resulting Hamming distance is well within the range to assert correctly the identity of the subject. This leads us to propose the concept of the effective statistical degree of freedom of iris templates and show that it is about 1/6 of the total number of bits. In particular, for a template of 2048 bits, its effective statistical degree of freedom is about 342 bits, which coincides very well with the degree of freedom computed by a completely different method proposed by Daugman.

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  • Received 19 September 2017

DOI:https://doi.org/10.1103/PhysRevE.98.032115

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Chang Yong Han1, Song-Hwa Kwon2,*, Hyeong In Choi3, Sung Jin Lee4, and Nam-Sook Wee5

  • 1Department of Applied Mathematics, Kyung Hee University, Gyeonggi-do 17104, Republic of Korea
  • 2Department of Mathematics, Catholic University of Korea, 43 Jibong-ro, Bucheon-si, Gyeonggi-do 14662, Republic of Korea
  • 3Department of Mathematics, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of Korea
  • 4Department of Mathematics, Daejin University, 1007 Hoguk-ro, Pocheon-si, Gyeonggi-do 11159, Republic of Korea
  • 5Division of Smart Management Engineering, Hansung University, 116 Samseongyo-ro 16-gil, Seongbuk-gu, Seoul 02876, Republic of Korea

  • *Corresponding author: skwon@catholic.ac.kr

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Issue

Vol. 98, Iss. 3 — September 2018

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