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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Abstract
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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| ID Code: | 15014 |
|---|---|
| Item Type: | Journal Article |
| 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 |
| Last Modified: | 09 Jun 2010 23:05 |
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