Aragón, J. L. and Naumis, G. G. and Bai, M. and Torres, M. and Maini, P. K. (2008) Turbulent luminance in impassioned van Gogh paintings. Journal of Mathematical Imaging and Vision, 30 (3). pp. 275-283.
We show that the patterns of luminance in some impassioned van Gogh paintings display the mathematical structure of fluid turbulence. Specifically, we show that the probability distribution function (PDF) of luminance fluctuations of points (pixels) separated by a distance R compares notably well with the PDF of the velocity differences in a turbulent flow, as predicted by the statistical theory of A.N. Kolmogorov. We observe that turbulent paintings of van Gogh belong to his last period, during which episodes of prolonged psychotic agitation of this artist were frequent. Our approach suggests new tools that open the possibility of quantitative objective research for art representation.
|Subjects:||A - C > Biology and other natural sciences|
|Research Groups:||Centre for Mathematical Biology|
|Deposited By:||Philip Maini|
|Deposited On:||05 Feb 2008|
|Last Modified:||29 May 2015 18:26|
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