dorsal/arxiv
View SchemaOn Multifractal Structure in Non-Representational Art
| Authors | J. R. Mureika, C. C. Dyer, G. C. Cupchik |
|---|---|
| Categories | |
| ArXiv ID | physics/0506063 |
| URL | https://arxiv.org/abs/physics/0506063 |
| DOI | 10.1103/PhysRevE.72.046101 |
| Journal | Phys. Rev. E 72, 046101 (2005) |
Abstract
Multifractal analysis techniques are applied to patterns in several abstract expressionist artworks, paintined by various artists. The analysis is carried out on two distinct types of structures: the physical patterns formed by a specific color (``blobs''), as well as patterns formed by the luminance gradient between adjacent colors (``edges''). It is found that the analysis method applied to ``blobs'' cannot distinguish between artists of the same movement, yielding a multifractal spectrum of dimensions between about 1.5-1.8. The method can distinguish between different types of images, however, as demonstrated by studying a radically different type of art. The data suggests that the ``edge'' method can distinguish between artists in the same movement, and is proposed to represent a toy model of visual discrimination. A ``fractal reconstruction'' analysis technique is also applied to the images, in order to determine whether or not a specific signature can be extracted which might serve as a type of fingerprint for the movement. However, these results are vague and no direct conclusions may be drawn.
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"abstract": "Multifractal analysis techniques are applied to patterns in several abstract\nexpressionist artworks, paintined by various artists. The analysis is carried\nout on two distinct types of structures: the physical patterns formed by a\nspecific color (``blobs\u0027\u0027), as well as patterns formed by the luminance\ngradient between adjacent colors (``edges\u0027\u0027). It is found that the analysis\nmethod applied to ``blobs\u0027\u0027 cannot distinguish between artists of the same\nmovement, yielding a multifractal spectrum of dimensions between about 1.5-1.8.\nThe method can distinguish between different types of images, however, as\ndemonstrated by studying a radically different type of art. The data suggests\nthat the ``edge\u0027\u0027 method can distinguish between artists in the same movement,\nand is proposed to represent a toy model of visual discrimination. A ``fractal\nreconstruction\u0027\u0027 analysis technique is also applied to the images, in order to\ndetermine whether or not a specific signature can be extracted which might\nserve as a type of fingerprint for the movement. However, these results are\nvague and no direct conclusions may be drawn.",
"arxiv_id": "physics/0506063",
"authors": [
"J. R. Mureika",
"C. C. Dyer",
"G. C. Cupchik"
],
"categories": [
"physics.pop-ph",
"physics.soc-ph"
],
"doi": "10.1103/PhysRevE.72.046101",
"journal_ref": "Phys. Rev. E 72, 046101 (2005)",
"title": "On Multifractal Structure in Non-Representational Art",
"url": "https://arxiv.org/abs/physics/0506063"
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