Регуляризація поліноміальних функцій Без’є–Бернштейна та її застосування в задачі идентифікації нелінійних систем
The problem of determination of optimal distribution of the basic control points is considered, where the inverse Casteljau mapping provides the best approximation of the Bezier-Bernstein polynomial functions by the Bezier curves and surfaces. A number of optimality criteria for the system of basic...
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| Datum: | 2019 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2019
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| Online Zugang: | http://journal.iasa.kpi.ua/article/view/165443 |
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| Назва журналу: | System research and information technologies |
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System research and information technologies| Zusammenfassung: | The problem of determination of optimal distribution of the basic control points is considered, where the inverse Casteljau mapping provides the best approximation of the Bezier-Bernstein polynomial functions by the Bezier curves and surfaces. A number of optimality criteria for the system of basic control points are introduced, and appropriate estimations are adduced. An evolutional construction method for the inverse Casteljau mapping in the problem of nonlinear dynamic system identification using neurofuzzy models is proposed. |
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