Active Fingerprint Ridge Orientation Models
ICB '09 Proceedings of the Third International Conference on Advances in Biometrics
Robust orientation field estimation and extrapolation using semilocal line sensors
IEEE Transactions on Information Forensics and Security - Special issue on electronic voting
Minutiae and modified Biocode fusion for fingerprint-based key generation
Journal of Network and Computer Applications
A variational formulation for fingerprint orientation modeling
Pattern Recognition
Fingerprint orientation field reconstruction by weighted discrete cosine transform
Information Sciences: an International Journal
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Quadratic differentials naturally define analytic orientation fields on planar surfaces. We propose to model orientation fields of fingerprints by specifying quadratic differentials. Models for all fingerprint classes such as arches, loops and whorls are laid out. These models are parametrised by few, geometrically interpretable parameters which are invariant under Euclidean motions. We demonstrate their ability in adapting to given, observed orientation fields, and we compare them to existing models using the fingerprint images of the NIST Special Database 4. We also illustrate that these model allow for extrapolation into unobserved regions. This goes beyond the scope of earlier models for the orientation field as those are restricted to the observed planar fingerprint region. Within the framework of quadratic differentials we are able to verify analytically Penrose's formula for the singularities on a palm [L. S. Penrose, "Dermatoglyphics"' Scientific American, vol. 221, no.~6, pp. 73--84, 1969]. Potential applications of these models are the use of their parameters as indices of large fingerprint databases, as well as the definition of intrinsic coordinates for single fingerprint images.