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t-Tests, F-Tests and Otsu's Methods for Image Thresholding

Xue, JH; Titterington, DM; (2011) t-Tests, F-Tests and Otsu's Methods for Image Thresholding. IEEE T IMAGE PROCESS , 20 (8) 2392 - 2396. 10.1109/TIP.2011.2114358.

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Abstract

Otsu's binarization method is one of the most popular image-thresholding methods; Student's t-test is one of the most widely-used statistical tests to compare two groups. This paper aims to stress the equivalence between Otsu's binarization method and the search for an optimal threshold that provides the largest absolute Student's t-statistic. It is then naturally demonstrated that the extension of Otsu's binarization method to multi-level thresholding is equivalent to the search for optimal thresholds that provide the largest F-statistic through one-way analysis of variance (ANOVA). Furthermore, general equivalences between some parametric image-thresholding methods and the search for optimal thresholds with the largest likelihood-ratio test statistics are briefly discussed.

Type: Article
Title: t-Tests, F-Tests and Otsu's Methods for Image Thresholding
DOI: 10.1109/TIP.2011.2114358
Keywords: Analysis of variance (ANOVA), F-tests, image thresholding, likelihood-ratio tests, Otsu's methods, Student's t-tests, GENERALIZED GAUSSIAN DISTRIBUTION, VARIANCE
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Statistical Science
URI: http://discovery.ucl.ac.uk/id/eprint/1321962
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