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A Riemannian Analysis of 3D Nose Shapes for Partial Human Biometrics

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Executive Summary

This paper explores the use of shapes of noses for performing partial human biometrics. The basic idea is to represent nasal surfaces using indexed collections of isocurves, and to analyze shapes of noses by comparing their corresponding curves. This paper extends past work in Riemannian analysis of shapes of closed curves in R3 to obtain a similar Riemannian analysis for nasal surfaces. In particular, the authors obtain algorithms for computing geodesics, computing statistical means, and stochastic clustering. This paper demonstrates these ideas in two application contexts: authentication and identification.

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