Multimodal biometric recognition has been widely used in identity authentication. However, how to fuse the multimodal images together reliably and effectively is still a challenging problem in practice. In this paper, combining multimodal traits, fingerprint (FP), finger-vein (FV) and finger-knuckle-print (FKP), as a global representation of a finger, a new pixel-based granular fusion method is proposed. In the proposed method, each unimodal image is first viewed as an atomic hypersphere granule with a center denoted by a real N-dimensional pixel-value vector. Thus, for a finger trait, a triangle can be constituted by the centers corresponding to three atomic granules such that an inscribed circle of it can be formed subsequently. A fused hypersphere granule of a finger is therefore generated coordinately by combing centers of the FV granule and the inscribed circle. Finally, the fuzzy inclusion measure is used to compute the similarity between two fusion hypersphere granules for image matching. Experiment results show that the proposed granular fusion method at pixel level is reliable and effective.
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