Efficient Pythagorean trees: Greed is good
Browne, Cameron B. (2007) Efficient Pythagorean trees: Greed is good. Computers & Graphics, 31(4), pp. 610-616.
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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|Item Type:||Journal Article|
|Additional Information:||Figures are at the end of the author manuscript.|
|Keywords:||Pythagorean tree, Greedy tree, Fractal, Box, counting dimension|
|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|
|Last Modified:||09 Jun 2010 23:05|
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