Criteria and convergence of the focal approxmation

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Methods of the solution of a problem of focal approximation  approach on point-by-point given smooth closed empirical curve by multifocal lemniscates are investigated. Criteria and convergence of the developed approached methods with use of the description, both in real, and in complex variables are analyzed. Topological equivalence of the used criteria is proved.

Keywords: curves, approximation, lemniscates, foci, criterion of curves nearness, basic, shape, invariant, algorithm, freedom degrees
Citation in English: Rakcheeva T.A. Criteria and convergence of the focal approxmation // Computer Research and Modeling, 2013, vol. 5, no. 3, pp. 379-394
Citation in English: Rakcheeva T.A. Criteria and convergence of the focal approxmation // Computer Research and Modeling, 2013, vol. 5, no. 3, pp. 379-394
DOI: 10.20537/2076-7633-2013-5-3-379-394
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