Have a personal or library account? Click to login
Fractal analysis of leaves: are all leaves self-similar along the cane? Cover

Fractal analysis of leaves: are all leaves self-similar along the cane?

By: Anna Gazda  
Open Access
|Aug 2013

Abstract

The fractal dimension can be used to quantify the shape of a natural curve. Curves with similar degrees of irregularity will tend to have the same fractal dimension. The fractal exponent describes the complexity of a shape and characterizes the scale-dependency of the pattern. This article presents an application of the fractal dimension in the analysis of leaves shape. In this paper I attempt to ask question if leaves of blackberry characterized by fractal dimension differ significantly in relation to the leaf ’s position along the cane. The fractal dimension of 49 leaves of blackberry from 8 primocanes, and 53 leaves from 19 lateral canes, from 9 individuals was estimated. The mean of D of a leaf is 1.12. There are no significant differences between D for leaves from two different cane types. Previous studies were focused on measurements of fractal dimension of leaves randomly chosen from one or a few individuals so there was necessity to measure fractal dimension all leaves growing along the same shoot, because usually leaf shape and size change more or less along a shoot. This research confirmed that fractal dimension is much more related to the shape complexity than to the size of leaves.

DOI: https://doi.org/10.2478/eko-2013-0009 | Journal eISSN: 1337-947X | Journal ISSN: 1335-342X
Language: English
Page range: 104 - 110
Published on: Aug 24, 2013
Published by: Institute of Landscape Ecology
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2013 Anna Gazda, published by Institute of Landscape Ecology
This work is licensed under the Creative Commons License.