Article ID Journal Published Year Pages File Type
442224 Computers & Graphics 2007 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design
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