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In this paper, a novel method for palmprint recognition is proposed. In this method, each pixel of a palmprint image is considered as a coordinate in a high-dimensional image space. A linear projection based on Fisher's linear discriminant (FLD) is used to project palmprints from this high-dimensional space to a significantly lower dimensional feature space, in which the ratio of the determinant of the between-class scatter to that of the within-class scatter is maximized. High accuracies of 99% and 99.2% have been obtained in one-to-one matching and one-to-300 matching test respectively and the speed of this method is rapid enough for real-time palmprint recognition.