Acta Univ. Agric. Silvic. Mendelianae Brun. 2004, 52(1), 175-182 | DOI: 10.11118/actaun200452010175
Vyhodnocení fraktálových dimenzí z bitmapové předlohy (Část: Algoritmy)
- Ústav nauky o dřevě, Mendelova zemědělská a lesnická univerzita v Brně, Zemědělská 3, 613 00 Brno, Česká republika
Vytvořená aplikace je schopna vyhodnotit fraktálové dimenze pomocí několika základních metod fraktálové geometrie za výrazného snížení uživatelova vstupu do obrazové analýzy. Současně bylo zahrnuto vyhodnocení spolehlivosti proložené funkce metodou nejmenších čtverců pro odhad fraktálové dimenze. Implementované modifikace výpočtu fraktálové dimenze umožňují nové zlepší klasifikace sobě podobných struktur.
fraktálová dimenze, algoritmy, dřevo, programová aplikace
Evaluation of fractal dimensions from bitmap image (Part: Algorithms)
The work assembled the complex application for evaluation of main fractal characteristics from input image. New simple modifications of evaluation of positive cells according to appropriate scale were implemented. Detail description of theory for each method and description of evaluation process was included. Filtration modification (which is able to estimate the structure which belongs only to specified scale) was introduced together with volumetric modification that allows selecting of optional ratio for determination of positive cells. Also, Richardson method and Slit-Island method were converted to algorithm form. Program was compiled for processing of the following projects about influence between fractal dimensions and mechanical properties of tested materials.
Keywords: fractal dimension, algorithm, wood, program application
Grants and funding:
The MSM 43410004 Project from Ministry of Education, Youth and Sport, Czech Republic supported this work.
Received: May 20, 2003; Published: July 18, 2015 Show citation
References
- MANDELBROT, B. B., Passoja assoja, D.E., Pullay ullay, A. J.: Nature, Land 308, 721 (1984) DOI: 10.1038/308721a0
Go to original source...
- BORODICH, F. M.: Some fractal models of fracture, J. Mech. Phys. Solids, Vol. 45, No. 2, pp. 239-259, (1997) DOI: 10.1016/S0022-5096(96)00080-4
Go to original source...
- RAY, K. K., MANDAL, G.: Study of correlation between fractal dimension and impact energy in high strength low alloy steel, Acta metal. Mater. Vol. 40, No.3, pp.463-469, 1992 DOI: 10.1016/0956-7151(92)90394-T
Go to original source...
This is an open access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY NC ND 4.0), which permits non-comercial use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.