Face recognition using multi-scale differential invariants in statistical manifold framework

Jian Zou, Chuan-Cai Liu, Yue Zhang and Gui-Fu Lu

International Journal of Data Mining, Modelling and Management, 2011, vol. 3, issue 4, 361-374

Abstract: The local image structure can be robustly represented by multi-scale Gaussian derivatives (GDs) or the derived differential features. However, the high-dimensional nature of concatenated global features makes it hard to be applied directly. To utilise multi-scale Gaussian derivative-based differential invariants (MGDDI) up to order two for face recognition, a novel method of matching probabilistic generating model of MGDDI is developed in statistical manifold framework. It takes MGDDI of an image as multi-channel feature sets in which each one is univariate consisting of fixed dimensional components of local 'jets'. Under specific partitions on feature spaces, each channel feature set is modelled as a realisation of a marginal multinomial distribution, and corresponding normalised histogram can be identified with estimated model parameters. With the Fisher geometry on multinomial manifold, a similarity measure is proposed for matching marginal model sets. The effectiveness of proposed method is demonstrated by the promising experimental results on ORL and FERET face database.

Keywords: Gaussian derivatives; differential invariants; statistical manifold; face recognition; similarity measures; image structure. (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijdmmm:v:3:y:2011:i:4:p:361-374

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