In this work the investigations of the recognitions problem of regular solutions of autonomous dynamicaludsystems are continued. As shown in [1], this problem reduces to the recognition of three-dimensional convexudclosed analytic curves constructed on the Poisson sphere by means the Poincaré sections [2], [3]. In someudcases, these curves are circles which lie on the surface of sphere. For recognition of such curves in this paperuda new algorithm was formulated. He is extending the Circle Hough Transform to three-dimensional case andudis called a Generalized Circle Hough Transform. The computational complexity of this algorithm can be reducedudto the computational complexity in the two-dimensional case.
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