Geodesic
On the characteristic set of black and white digital image coefficients constructed in the basis of a hexagonal lattice
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 40-43 
I. A. Kapliy; P. G. Parfenov. On the characteristic set of black and white digital image coefficients constructed in the basis of a hexagonal lattice. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 40-43. http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The concepts associated with the calculation of Euler's characteristics of images constructed on the basis of hexagonal lattices are considered. The necessary conditions for a sixteen-dimensional vector with non-negative integer components to be a characteristic set of some image are obtained.

[1] M. J. E. Golay, “Hexagonal pattern transformation”, IEEE Trans. Computers, C-18:8 (1969), 733–740 | DOI

[2] U. Prett, Tsifrovaya obrabotka izobrazhenii, kn. 2, per. s angl., Mir, M., 1982, 480 pp.

[3] K. Preston, “Feature extraction by Golay hexagonal pattern transformation”, IEEE Trans. Computers, C-20:9 (1971), 1007–1014 | DOI

[4] D. W. Farmer, Groups and Symmetry: A Guide to Discovering Mathematics, Mathematical World, 5, American Mathematical Society, 1996, 102 pp. | MR

[5] P. G. Parfenov, “Ob eilerovoi kharakteristike izobrazheniya”, Arkhitektura i programmnoe obespechenie vychislitelnykh sistem, Yaroslavl, 1992, 76–79

[6] P. G. Parfenov, “Mnogochleny na izobrazheniyakh, vychislyayuschie eilerovu kharakteristiku”, Modelirovanie i analiz informatsionnykh sistem, 9:1 (2002), 19–20

[7] P. G. Parfenov, “O nekotorykh svoistvakh kharakteristicheskogo nabora koeffitsientov cherno-belogo tsifrovogo izobrazheniya”, Modelirovanie i analiz informatsionnykh sistem, 12:1 (2005), 52–54 | MR

[8] P. G. Parfenov, L. M. Zavyalova, “Ob eilerovoi kharakteristike izobrazheniya, postroennogo na osnove geksagonalnoi i treugolnoi reshetki”, Modelirovanie i analiz informatsionnykh sistem, 1993, no. 2, 84–91