Encyclopedia of Biometrics

2009 Edition
| Editors: Stan Z. Li, Anil Jain

Fisher Criterion

Reference work entry
DOI: https://doi.org/10.1007/978-0-387-73003-5_585

Fisher criterion is a discriminant criterion function that was first presented by Fisher in 1936. It is defined by the ratio of the between-class scatter to the within-class scatter. By maximizing this criterion, one can obtain an optimal discriminant projection axis. After the sample being projected on to this projection axis, the within-class scatter is minimized and the between-class scatter is maximized.

 Non-linear Techniques for Dimension Reduction

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© Springer Science+Business Media, LLC 2009