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Self-organized criticality as a method of procedural modeling

Published: 07 August 2011 Publication History

Abstract

Self-organized criticality (SOC) is a theory of fractal dynamics in which a physical system approaches an attractor state that is scalefree. In the simple example of a sandpile, the grains of sand can slip down steep slopes and the resulting changes to the system propagate via avalanches. By the time the sandpile reaches the attractor state, the avalanches have propagated throughout the entire system and the features of the resulting landscape are not tied to a specific length scale.

References

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Ahlenius, H. 2007. Arctic Sea Ice Minimum Extent in September 1982 and 2008. UNEP/GRID-Arendal. http://maps.grida.no/go/graphic/.
[2]
Duran, J. 2000. Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials. Partially Ordered Systems. Springer.
[3]
Maslanik, J., and Fowler, C. 2009. Arctic Sea Ice Age. University of Colorado.
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Rekacewicz, P. 2005. Arctic, Topography and Bathymetry. UNEP/GRID-Arendal. http://maps.grida.no/go/graphic/arctic-topography-and-bathymetry.
[5]
Rodríguez-Iturbe, I., and Rinaldo, A. 1997. Fractal River Basins. Cambridge University Press.
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Sapoval, B., Baldassarri, A., and Gabrielli, A. 2004. Self-Stabilized Fractality of Seacoasts through Damped Erosion. Physical Review Letters 93, 9.

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cover image ACM Conferences
SIGGRAPH '11: ACM SIGGRAPH 2011 Posters
August 2011
92 pages
ISBN:9781450309714
DOI:10.1145/2037715
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 07 August 2011

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Author Tags

  1. erosion
  2. procedural modeling
  3. self-organization

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