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A coherent framework for fingerprint analysis: are fingerprints Holograms?
Optics Express
|June 24, 2009
Summary
We introduce a novel holographic mathematical model for fingerprint analysis. This phase-based approach unifies fingerprint processing tasks and achieves extreme image compression.
Area of Science:
- Biometrics
- Image Processing
- Applied Mathematics
Background:
- Traditional fingerprint analysis faces challenges with minutiae singularities.
- Existing models often lack a unified approach for various fingerprint processing tasks.
Purpose of the Study:
- To propose a coherent mathematical model for human fingerprint images.
- To unify fingerprint analysis, classification, matching, compression, and synthesis.
- To address singularities at minutiae points.
Main Methods:
- Representing fingerprint structure as a phase-modulated fringe pattern (hologram).
- Utilizing the Helmholtz decomposition theorem to analyze hologram phase.
- Employing a two-dimensional demodulator for reliable analysis.
Main Results:
- The holographic model provides a self-consistent formalism for fingerprint processing.
- Hologram phase analysis circumvents infinite frequency singularities at minutiae.
- Demonstrated extreme image compression with a factor of 239.
Conclusions:
- The proposed holographic model offers a unified and robust framework for fingerprint image processing.
- This phase-based approach simplifies complex fingerprint analysis and enhances compression efficiency.
- The model's parsimony and effectiveness are validated through high-compression reconstruction.
