Larkin Kieran G, Fletcher Peter A
Opt Express. 2007 Jul 9;15(14):8667-77. doi: 10.1364/oe.15.008667.
We propose a coherent mathematical model for human fingerprint images. Fingerprint structure is represented simply as a hologram - namely a phase modulated fringe pattern. The holographic form unifies analysis, classification, matching, compression, and synthesis of fingerprints in a self-consistent formalism. Hologram phase is at the heart of the method; a phase that uniquely decomposes into two parts via the Helmholtz decomposition theorem. Phase also circumvents the infinite frequency singularities that always occur at minutiae. Reliable analysis is possible using a recently discovered two-dimensional demodulator. The parsimony of this model is demonstrated by the reconstruction of a fingerprint image with an extreme compression factor of 239.
我们提出了一种用于人类指纹图像的连贯数学模型。指纹结构被简单地表示为一种全息图——即一种相位调制条纹图案。全息形式以一种自洽的形式统一了指纹的分析、分类、匹配、压缩和合成。全息图相位是该方法的核心；通过亥姆霍兹分解定理，相位唯一地分解为两个部分。相位还规避了在细节点处总是出现的无限频率奇点。使用最近发现的二维解调器可以进行可靠的分析。通过以239的极端压缩因子重建指纹图像，证明了该模型的简洁性。
