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Sibirskii Zhurnal Vychislitel'noi Matematiki, 1999, Volume 2, Number 3, Pages 197–205
(Mi sjvm335)
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Slope's choice in plane curve interpolation
A. Yu. Bezhaev Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
The problem of plane curve construction, given by supporting points, is considered. The methods, based on the piece-wise Hermit interpolation by the polynomials of third degree (like the Fergusson and Bezier approaches), additionally require slope vectors in supporting points. Here two methods for slopes are suggested. In some sense they present extremal interpolation variants. Their convex combinations give multiparameter set of interpolating curves. There we select one-parameter set, whose parameter influences to the same extent on visual smoothness and curvature on all curve patches. On the base of numerical experiments the parameter
limits have been found out and which provide the simplicity and sufficient smoothness of the interactively
managed curve with the help of supporting points.
Received: 30.10.1998 Revised: 30.03.1999
Citation:
A. Yu. Bezhaev, “Slope's choice in plane curve interpolation”, Sib. Zh. Vychisl. Mat., 2:3 (1999), 197–205
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https://www.mathnet.ru/eng/sjvm335 https://www.mathnet.ru/eng/sjvm/v2/i3/p197
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Abstract page: | 210 | Full-text PDF : | 136 | References: | 21 |
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