Mathematical characterization of Bridget Riley's stripe paintings

@article{Dodgson2012MathematicalCO,
  title={Mathematical characterization of Bridget Riley's stripe paintings},
  author={Neil A. Dodgson},
  journal={Journal of Mathematics and the Arts},
  year={2012},
  volume={6},
  pages={106 - 89}
}
  • N. Dodgson
  • Published 1 June 2012
  • Art
  • Journal of Mathematics and the Arts
I investigate whether mathematical measures can characterize Bridget Riley's stripe paintings. This is motivated by three considerations: (1) stripe paintings are an incredibly constrained art form, therefore it should be relatively straightforward to ascertain whether or not there is a mathematical characterization; (2) Bridget Riley's approach to composition is methodical and thoughtful, so we can assume that her paintings are carefully constructed rather than random and (3) Riley's paintings… 
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References

SHOWING 1-10 OF 47 REFERENCES
Fractal analysis of Pollock's drip paintings
Scientific objectivity proves to be an essential tool for determining the fundamental content of the abstract paintings produced by Jackson Pollock in the late 1940s. Pollock dripped paint from a can
Fractal Analysis: Revisiting Pollock's drip paintings
TLDR
This work investigates the contentions that Jackson Pollock's drip paintings are fractals produced by the artist's Lévy distributed motion and that fractal analysis may be used to authenticate works of uncertain provenance and finds that the paintings exhibit fractal characteristics over too small a range to be usefully considered as fractal.
Balancing the expected and the surprising in geometric patterns
Simulating and analysing Jackson Pollock's paintings
TLDR
An interactive system which allows users to create abstract paintings mimicking the style of Jackson Pollock using 3D viscous fluid jets and allow users to analyse the fractal properties of the images they create, a concept inspired by the Fractal properties that are believed to exist in Pollock's own paintings.
A digital technique for art authentication
TLDR
A computational technique for authenticating works of art, specifically paintings and drawings, from high-resolution digital scans of the original works, is described, which confirms expert authentications of Pieter Bruegel the Elder.
A field guide to digital color
TLDR
Maureen Stone's field guide to digital color provides the foundation for understanding color and its applications, discusses color media and color management and the use of color in computer graphics, including color design and selection.
Fractal geometry of music.
  • K. Hsü, A. Hsü
  • Art
    Proceedings of the National Academy of Sciences of the United States of America
  • 1990
TLDR
The purpose of this short note is to suggest that the mathematics is, at least in part, Mandelbrot's fractal geometry and the precision is the deviation from a log-log linear plot.
Color vision.
  • J. Mollon
  • Biology
    Annual review of psychology
  • 1982
TLDR
The author reveals the possible identity of Opponent Mechanisms Revealed by Changes in Sensitivity, by Phenomenological Cancellation, and by Chromaticity Discrimination in the Short-Wavelength System.
1/f noise
1/f noise is a nonstationary random process suitable for modeling evolutionary or developmental systems. It combines the strong influence of past events on the future and, hence somewhat predictable
On the spectral analysis of melody
TLDR
The widely‐known claim of Voss and Clarke (1978) that much music is well modelled by “1/ƒ noise” is critically examined, yielding mainly negative conclusions.
...
...