A Mathematical Model for Arch Fingerprint
Ibrahim Jawarneh, Nesreen Alsharman

TL;DR
This paper develops a mathematical dynamical system model for arch fingerprints, analyzing their stability and dynamics, and validating the model with numerical simulations and real image matching.
Contribution
It introduces a novel dynamical system framework for categorizing arch fingerprints and studies their stability properties.
Findings
The model captures different arch fingerprint categories.
Numerical simulations match real fingerprint images.
Stability analysis provides insights into fingerprint patterns.
Abstract
In this paper, different categories of the arch fingerprint are set up in a general dynamical system model using ordinary differential equations. We study its global dynamics and analyze the existence and stability of equilibria. Numerical simulations using Maple show the matching between real images of categories of arch fingerprint and phase portraits of the considered dynamical system.
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Taxonomy
TopicsBiometric Identification and Security · Forensic Fingerprint Detection Methods · Image Processing and 3D Reconstruction
