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Application of mathematical methods in recognition of plant objects

The purpose of the article is to investigate the problem of recognition of plant objects using research methods of graph theory and analytic geometry. The process of plant object recognition may be based on the analysis of their general structure. In this paper, we propose an approach based on the construction of models of plant object structure in the form of graphs. It is proposed to consider the method of determining the shadow contour using such analytic geometry approach as the envelope theory. This approach allows constructing a mathematical theory of recognition. You can get a clear mathematical description of an object, such as its geometry, but there is a problem of its correlation with the received image. Therefore, it is possible to carry out detection of the plant object not in general, but by characteristic elements of the plant peculiar only to this specific plant.