Modeling of curves by a design-control approximating refinement scheme

This paper introduces a modified method for construction of a new design-control 6-point approximating refinement scheme. The construction of the new scheme is based on translation of the points of 4-point approximating refinement scheme to the new position according to the linear combination of cer...

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Bibliographic Details
Published in:Arab journal of basic and applied sciences 2023-12, Vol.30 (1), p.164-178
Main Authors: Hameed, Rabia, Mustafa, Ghulam, Younis, Jihad, Abd El Salam, Mohamed A.
Format: Article
Language:English
Subjects:
65D07
65D10
Approximating refinement scheme
curve
design-control parameter
Gibbs oscillation
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Summary:This paper introduces a modified method for construction of a new design-control 6-point approximating refinement scheme. The construction of the new scheme is based on translation of the points of 4-point approximating refinement scheme to the new position according to the linear combination of certain displacement vectors. The initial and terminal points of these vectors are the refinement points of two 4-point approximating binary schemes. The new scheme contains three design-control parameters. These parameters increase the efficiency and flexibility of the new scheme. The mathematical and graphical analysis of the refinement scheme show that this scheme is good choice for curve modeling.
ISSN:2576-5299
2576-5299
DOI:10.1080/25765299.2023.2194122