Efficient Pythagorean trees: Greed is good

Browne, Cameron B. (2007) Efficient Pythagorean trees: Greed is good. Computers & Graphics, 31(4), pp. 610-616.

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The Pythagorean tree is a fractal figure with a branching structure based upon the Pythagorean theorem. This paper describes the use of a greedy algorithm to encourage a homogenous spread of detail for asymmetrical trees and avoid localized regions of high detail. A model of prioritized branch growth based on this idea is used to optimize tree shape, allowing more visually interesting trees to be grown using significantly fewer segments. A comparison of the fractal dimension of the resulting shapes supports the general success of this approach.

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1 citations in Scopus
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1 citations in Web of Science®

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1,058 since deposited on 03 Oct 2008
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ID Code: 15014
Item Type: Journal Article
Refereed: Yes
Additional Information: Figures are at the end of the author manuscript.
Keywords: Pythagorean tree, Greedy tree, Fractal, Box, counting dimension
DOI: 10.1016/j.cag.2007.04.003
ISSN: 0097-8493
Subjects: Australian and New Zealand Standard Research Classification > STUDIES IN CREATIVE ARTS AND WRITING (190000) > VISUAL ARTS AND CRAFTS (190500)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > COMPUTER SOFTWARE (080300)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Algebraic and Differential Geometry (010102)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2007 Elsevier
Copyright Statement: Reproduced in accordance with the copyright policy of the publisher.
Deposited On: 03 Oct 2008 00:00
Last Modified: 09 Jun 2010 13:05

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