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.
Citation countsare sourced monthly fromand citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
Full-text downloadsdisplays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.
|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|
Repository Staff Only: item control page