JSM 2004 - Toronto

Abstract #300444

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Activity Number: 384
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #300444
Title: Kolmogorov-Smirnov Test for Image Comparison
Author(s): Eugene Demidenko*+
Companies: Dartmouth College
Address: 7927 Rubin, DHMC, Lebanon, 03756,
Keywords: Image ; nonparametric test ; cancer ; histology
Abstract:

An essential task of image analysis is image comparison. Although the histogram is widely used in image processing to represent the distribution of gray levels, no statistical tests are available to compare images. We say that two images are the same if they have the same grayscale distribution. Thus, if F1(g) and F2(g) are two empirical distribution functions of gray levels g=0,1,.,255 from two gray images, the hypothesis reduces to H0:F1=F2. We use the Kolmogorov-Smirnov test, although other nonparametric test can be applied as well. As a graphical tool, distribution functions have an advantage over histograms because several of them can be plotted on the same graph. We illustrate the Kolmogorov-Smirnov test and computation of the respective p value by histology images from two cancer treatments.

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