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.

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.
@article{MAIS_2007_14_2_a8,
     author = {I. A. Kapliy and P. G. Parfenov},
     title = {On the characteristic set of black and white digital image coefficients constructed in the basis of a hexagonal lattice},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {40--43},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a8/}
}
TY  - JOUR
AU  - I. A. Kapliy
AU  - P. G. Parfenov
TI  - On the characteristic set of black and white digital image coefficients constructed in the basis of a hexagonal lattice
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2007
SP  - 40
EP  - 43
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a8/
LA  - ru
ID  - MAIS_2007_14_2_a8
ER  - 
%0 Journal Article
%A I. A. Kapliy
%A P. G. Parfenov
%T On the characteristic set of black and white digital image coefficients constructed in the basis of a hexagonal lattice
%J Modelirovanie i analiz informacionnyh sistem
%D 2007
%P 40-43
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a8/
%G ru
%F MAIS_2007_14_2_a8
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/

[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