On 2D generalization of Higuchi's fractal dimension

dc.creator	Spasić, Slađana
dc.date.accessioned	2022-04-05T14:50:24Z
dc.date.available	2022-04-05T14:50:24Z
dc.date.issued	2014
dc.identifier.issn	0960-0779
dc.identifier.uri	http://rimsi.imsi.bg.ac.rs/handle/123456789/781
dc.description.abstract	We propose a new numerical method for calculating 2D fractal dimension (DF) of a surface. This method represents a generalization of Higuchi's method for calculating fractal dimension of a planar curve. Using a family of Weierstrass-Mandelbrot functions, we construct Weierstrass-Mandelbrot surfaces in order to test exactness of our new numerical method. The 2D fractal analysis method was applied to the set of histological images collected during direct shoot organogenesis from leaf explants. The efficiency of the proposed method in differentiating phases of organogenesis is proved.	en
dc.publisher	Pergamon-Elsevier Science Ltd, Oxford
dc.relation	info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/173045/RS//
dc.rights	restrictedAccess
dc.source	Chaos Solitons & Fractals
dc.subject	2D fractal dimension
dc.subject	generalisation of Higuchi's fractal dimension
dc.subject	fractal dimension of a planar curve
dc.title	On 2D generalization of Higuchi's fractal dimension	en
dc.type	article
dc.rights.license	ARR
dc.citation.epage	187
dc.citation.other	69: 179-187
dc.citation.rank	M21
dc.citation.spage	179
dc.citation.volume	69
dc.identifier.doi	10.1016/j.chaos.2014.09.015
dc.identifier.scopus	2-s2.0-84938741900
dc.identifier.wos	000347019200019
dc.type.version	publishedVersion