Geodesic
Mathematical methods of modeling of image processing and analysis in the modified descriptive algebras of images
Journal of computational and engineering mathematics, Tome 3 (2016) no. 1, pp. 3-9

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The article is devoted to the development of the method of mathematical modeling of image processing and analysis in an apparatus of the modified descriptive algebras of images. A brief chronology of the formation of an algebraic approach in the studies of foreign and domestic scientists is given in materials. The present state of an mathematical apparatus of the modified descriptive algebras of images is described. The results of the latest researches are presented as a technique of the organization of a computing experiment. The combinatorial evaluation of the initial images, which are randomly selected among all the possible variants, is carried at the first step of the computing experiment . At the second step the initial images are used in the development of an algorithm and a mathematical method of their processing and analysis modeling. The second step is to develop an objective function to optimize and select the variable parameters of a mathematical model. At the third step a genetic algorithm should be applied to find the optimal values of variable parameters of the mathematical model.
Keywords: image processing and analysis; modified descriptive algebra of images; mathematical modeling method; combinatorial evaluation sampling; objective function; genetic algorithm; technique of computing experiment. 
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     title = {Mathematical methods of modeling of image processing and analysis in the modified descriptive algebras of images},
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A. R. Iskhakov. Mathematical methods of modeling of image processing and analysis in the modified descriptive algebras of images. Journal of computational and engineering mathematics, Tome 3 (2016) no. 1, pp. 3-9. http://geodesic.mathdoc.fr/item/JCEM_2016_3_1_a0/