Geodesic
Integral near-Eiler characteristics of halftone digital images
Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 1, pp. 34-36.

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In works analog of Eiler characteristics for halftone images introduce by the instrumentality of integral expression. Deduced theorem allows to calculate this characteristic by summation of some function defined on halftone fragments of size 2*2. Example and computer model mentioned show that foregoing characteristic is a natural continuation of Eiler characteristics on the set of halftone images. 
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P. G. Parfenov; I. A. Kapliy. Integral near-Eiler characteristics of halftone digital images. Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 1, pp. 34-36. http://geodesic.mathdoc.fr/item/MAIS_2008_15_1_a4/

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