Benford's Law for Natural and Synthetic Images

dc.contributor.authorAcebo, Esteve Delen_US
dc.contributor.authorSbert, Mateuen_US
dc.contributor.editorLaszlo Neumann and Mateu Sbert and Bruce Gooch and Werner Purgathoferen_US
dc.date.accessioned2013-10-22T07:40:24Z
dc.date.available2013-10-22T07:40:24Z
dc.date.issued2005en_US
dc.description.abstractBenford'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.en_US
dc.description.seriesinformationComputational Aesthetics in Graphics, Visualization and Imagingen_US
dc.identifier.isbn3-905673-27-4en_US
dc.identifier.issn1816-0859en_US
dc.identifier.urihttps://doi.org/10.2312/COMPAESTH/COMPAESTH05/169-176en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.3 [Computing Methodologies]: Computer GraphicsPicture/ Image Generation; I.4.8 [Computing Methodologies]: Image Processing and Computer VisionScene Analysisen_US
dc.titleBenford's Law for Natural and Synthetic Imagesen_US
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