Generalized dimension (Dq) and f(alpha) for structure-morphology analysis.

• Autorzy: Grzywna Z.J. , Krasowska M.
• Konferencja: XVIth Physical Metallurgy and Materials Science Conference on Advanced Materials and Technologies AMT'2001, Gdańsk-Jurata, 16-20 September, 2001
• Języki publikacji: EN

Abstrakty

EN

Generalized dimension - Dq and its "derivative" - f(alpha) is considered as a diagnostic tool for structure-morphology analysis of 2D images. The conditions for different shapes, placements and roots of f(aplpha) are presented and discussed.

Słowa kluczowe

EN

structure-morphology analysis; tool dimension; fractal dimension; 2D images; generalized dimension; shape

PL

analiza morfologiczna; analiza strukturalna; wymiar narzędzia; wymiar fraktalny; wymiar 2D; kształt

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Inżynieria Materiałowa
• Rocznik: 2001
• Tom: R. XXII, nr 4
• Strony: 369--371
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Grzywna Z.J.

• Silesian University of Technology, Gliwice, Poland

autor

Krasowska M.

• Silesian University of Technology, Gliwice, Poland

• Silesian University of Technology, Gliwice, Poland

Bibliografia

• [1] The Fractal Approach to Heterogenous Chemistry, Surfaces, Colloids, Polymers D. Avnir [ed.], Wiley, Chichester, 1989
• [2] Grzywna Z.J., Krasowska M., Ostrowski Ł., Stolarczyk J.: Can generalized dimension (Dq) and f(α) be used in structure-morphology analysis?. Acta Physica Polonica B 32 (2001) 1561-1676.
• [3] Birdi K.S.: Fractals in Chemistry, Geochemistry and Biophysics. Plenum Press, New York & London, 1993
• [4] Bassingthwaighte J.B., Liebovitch L.S., West B.J.: Fractal Physiology. Oxford University Press, New York, 1994
• [5] Grzywna Z.J.: Scaling in Diffusive Transport Through Membranes. Chem. Eng. Sci. 51 (1996) 4115-4125
• [6] Tel.T.: Fractals, Multifractals, and Thermodynamics. Naturforsch . A43 (1988) 1154-1174
• [7] Sporring J., Weickert J.: Information measure in scale-spaces. IEEE Trans. Inf. Theory 45 (1999) 1051-1058
• [8] Arnold V.I.: Mathematical Methods of Classical Machanics. Springer Verlag, New York, 1989
• [9] Borodi F., Cametti C., Naglieri A.: Ion transport in lipid bilayer membranes through aqueous pores. Colloid and Surfaces A: Physicochemical and Engineering Aspects. 159 (1999) 231-237
• [10] Grzywna Z.J., Petropoulos J.: Transient Diffusion Kinetics in Media Exhibiting Axial Variation of Diffusion Properties. J. Chem. Soc. Faraday Trans. 79 (1983) 585-591.
• [11] Grzywna Z.J., Simon A.M.: Transient Diffusion Experiments in Catalitically Active Membranes. Chem. Eng. Sc1. 46 (1991) 335-338.