Keywords: planar anisotropy; planar fibre system; Steiner compact analysis
@article{KYB_2000_36_2_a0,
author = {Bene\v{s}, Viktor and Gokhale, Arun M.},
title = {Planar anisotropy revisited},
journal = {Kybernetika},
pages = {149--164},
year = {2000},
volume = {36},
number = {2},
mrnumber = {1760022},
zbl = {1249.60185},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2000_36_2_a0/}
}
Beneš, Viktor; Gokhale, Arun M. Planar anisotropy revisited. Kybernetika, Tome 36 (2000) no. 2, pp. 149-164. http://geodesic.mathdoc.fr/item/KYB_2000_36_2_a0/
[1] Baddeley A.: An anisotropic sampling design. In: Geobild’85 (W. Nagel, ed.). FSU Jena 1985, pp. 92–97
[2] Digabel H.: Determination practique de la rose des directions. In: 15 fascicules de morphologie mathematique appliquee (6), Fontainebleau 1975
[3] Heyer H.: Probability Measures on Locally Compact Groups. Springer, Berlin 1977 | MR | Zbl
[4] Hilliard J. E.: Specification and measurement of microstructural anisotropy. Trans. Metall. Soc. AIME 224 (1962), 1201–1211
[5] Kanatani K. I.: Stereological determination of structural anisotropy. Internat. J. Engrg. Sci. 22 (1984), 531–546 | DOI | MR | Zbl
[6] Kufner A., Kadlec J.: Fourier Series. Academia, Praha 1971 | MR | Zbl
[7] Matheron G.: Random Sets and Integral Geometry. Wiley, New York 1975 | MR | Zbl
[8] Mecke J.: Formulas for stationary planar fibre processes III-intersections with fibre systems. Math. Oper. Statist., Ser. Statist. 12 (1981), 201–210 | MR | Zbl
[9] Philofski E. M., Hilliard J. E.: On the measurement of the orientation distribution of lineal and areal arrays. Trans. ASM 27 (1967), 1, 79–86
[10] Rachev S. T.: Probability Metrics. Wiley, New York 1991 | MR | Zbl
[11] Rataj J., Saxl I.: Analysis of planar anisotropy by means of the Steiner compact. J. Appl. Probab. 26 (1989), 490–502 | DOI | MR | Zbl
[12] Rychlik T.: Order statistics of variables with given marginal distributions. In: Distributions with Fixed Marginals and Related Topics (L. Rüschendorf, B. Schweizer and M. D. Taylor, eds.), IMS Lecture Notes – Monograph Series 28 (1996), pp. 297–306 | MR
[13] Schneider R.: Convex Bodies: The Brunn–Minkowski Theory. Encyclopedia Math. Appl. 44 (1993) | MR | Zbl
[14] Stoyan S., Kendall W. S., Mecke J.: Stochastic Geometry and Its Applications. Second edition. Wiley, New York, Chichester 1995 | Zbl