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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICAL MODELING AND NUMERICAL SIMULATION
Criteria and convergence of the focal approximation
T. A. Rakcheeva Mechanical Engineering Research Institute, RAS, 4 Bardina st., Moscow, 117334, Russia
Abstract:
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.
Received: 11.03.2013 Revised: 10.05.2013
Citation:
T. A. Rakcheeva, “Criteria and convergence of the focal approximation”, Computer Research and Modeling, 5:3 (2013), 379–394
Linking options:
https://www.mathnet.ru/eng/crm402 https://www.mathnet.ru/eng/crm/v5/i3/p379
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Abstract page: | 125 | Full-text PDF : | 70 | References: | 36 |
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