Conceptualizing Birkhoff's Aesthetic Measure Using Shannon Entropy and Kolmogorov Complexity
Inhaltsverzeichnis
Reference
Jaume Rigau, Miquel Feixas, Mateu Sbert: Conceptualizing Birkhoff's Aesthetic Measure Using Shannon Entropy and Kolmogorov Complexity. In: Douglas W. Cunningham, Gary W. Meyer, László Neumann, Alan Dunning, Raquel Paricio (Eds.):Eurographics Workshop on Computational Aesthetics, 2007. 105-112
DOI
http://dx.doi.org/10.2312/COMPAESTH/COMPAESTH07/105-112
Abstract
In 1928, George D. Birkhoff introduced the Aesthetic Measure, defined as the ratio between order and complexity, and, in 1965, Max Bense analyzed Birkhoff's measure from an information theory point of view. In this paper, the concepts of order and complexity in an image (in our case, a painting) are analyzed in the light of Shannon entropy and Kolmogorov complexity. We also present a new vision of the creative process: the initial uncertainty, obtained from the Shannon entropy of the repertoire (palette), is transformed into algorithmic information content, defined by the Kolmogorov complexity of the image. From this perspective, the Birkhoff's Aesthetic Measure is presented as the ratio between the algorithmic reduction of uncertainty (order) and the initial uncertainty (complexity). The measures proposed are applied to several works of Mondrian, Pollock, and van Gogh.
Extended Abstract
Bibtex
@inproceedings{Rigau:2007:CBA:2381255.2381273,
author = {Rigau, Jaume and Feixas, Miquel and Sbert, Mateu},
title = {Conceptualizing Birkhoff's Aesthetic Measure Using Shannon Entropy and Kolmogorov Complexity},
booktitle = {Proceedings of the Third Eurographics Conference on Computational Aesthetics in Graphics, Visualization and Imaging},
series = {Computational Aesthetics'07},
year = {2007},
isbn = {978-3-905673-43-2},
location = {Alberta, Canada},
pages = {105--112},
numpages = {8},
url = {http://dx.doi.org/10.2312/COMPAESTH/COMPAESTH07/105-112, http://de.evo-art.org/index.php?title=Conceptualizing_Birkhoff's_Aesthetic_Measure_Using_Shannon_Entropy_and_Kolmogorov_Complexity },
doi = {10.2312/COMPAESTH/COMPAESTH07/105-112},
acmid = {2381273},
publisher = {Eurographics Association},
address = {Aire-la-Ville, Switzerland, Switzerland},
}
Used References
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Links
Full Text
http://ima.udg.edu/~rigau/Publications/Rigau07B.pdf
Sonstige Links
http://dl.acm.org/citation.cfm?id=2381255.2381273&coll=DL&dl=GUIDE&CFID=588525319&CFTOKEN=29804931
