On 2D generalization of Higuchi's fractal dimension
Само за регистроване кориснике
2014
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
2D fractal dimension / generalisation of Higuchi's fractal dimension / fractal dimension of a planar curveИзвор:
Chaos Solitons & Fractals, 2014, 69, 179-187Издавач:
- Pergamon-Elsevier Science Ltd, Oxford
Финансирање / пројекти:
DOI: 10.1016/j.chaos.2014.09.015
ISSN: 0960-0779
WoS: 000347019200019
Scopus: 2-s2.0-84938741900
Институција/група
Institut za multidisciplinarna istraživanjaTY - JOUR AU - Spasić, Slađana PY - 2014 UR - http://rimsi.imsi.bg.ac.rs/handle/123456789/781 AB - 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. PB - Pergamon-Elsevier Science Ltd, Oxford T2 - Chaos Solitons & Fractals T1 - On 2D generalization of Higuchi's fractal dimension EP - 187 SP - 179 VL - 69 DO - 10.1016/j.chaos.2014.09.015 ER -
@article{ author = "Spasić, Slađana", year = "2014", 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.", publisher = "Pergamon-Elsevier Science Ltd, Oxford", journal = "Chaos Solitons & Fractals", title = "On 2D generalization of Higuchi's fractal dimension", pages = "187-179", volume = "69", doi = "10.1016/j.chaos.2014.09.015" }
Spasić, S.. (2014). On 2D generalization of Higuchi's fractal dimension. in Chaos Solitons & Fractals Pergamon-Elsevier Science Ltd, Oxford., 69, 179-187. https://doi.org/10.1016/j.chaos.2014.09.015
Spasić S. On 2D generalization of Higuchi's fractal dimension. in Chaos Solitons & Fractals. 2014;69:179-187. doi:10.1016/j.chaos.2014.09.015 .
Spasić, Slađana, "On 2D generalization of Higuchi's fractal dimension" in Chaos Solitons & Fractals, 69 (2014):179-187, https://doi.org/10.1016/j.chaos.2014.09.015 . .