Benford's Law for Natural and Synthetic Images
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Date
2005
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Benford's Law (also known as the First Digit Law) is well known in statistics of natural phenomena. It states that, when dealing with quantities obtained from Nature, the frequency of appearance of each digit in the first significant place is logarithmic. This law has been observed over a broad range of statistical phenomena. In this paper, we will explore its application to image analysis. We will show how light intensities in natural images, under certain constraints, obey this law closely. We will also show how light intensities in synthetic images follow this law whenever they are generated using physically realistic methods, and fail otherwise. Finally, we will study how transformations on the images affect the adjustment to the Law and how the fitting to the law is related to the fitting of the distribution of the raw intensities of the image to a power law.
Description
@inproceedings{10.2312:COMPAESTH/COMPAESTH05/169-176,
booktitle = {Computational Aesthetics in Graphics, Visualization and Imaging},
editor = {Laszlo Neumann and Mateu Sbert and Bruce Gooch and Werner Purgathofer},
title = {{Benford's Law for Natural and Synthetic Images}},
author = {Acebo, Esteve Del and Sbert, Mateu},
year = {2005},
publisher = {The Eurographics Association},
ISSN = {1816-0859},
ISBN = {3-905673-27-4},
DOI = {10.2312/COMPAESTH/COMPAESTH05/169-176}
}