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Pengawalan Lengkung Kubik Nisbah Alternatif

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Author(s): Azhar Ahmad | Jamaludin Md. Ali

Journal: Matematika
ISSN 0127-8274

Volume: 19;
Issue: 1;
Start page: 71;
Date: 2003;
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Keywords: rational alternative cubic curve | controlling | barycentric coordinate

ABSTRACT
In this paper the discussion is around the topic of geometrical control of rational alternative cubic curve in computer aided geometric design (CAGD). With this method we are able to preserve convexity of curves and inflecting curves, by determining the constraints of corresponding scalar weights with respect to the control points. The rational cubic curve is characterised by two endpoints, two end slopes and an intermediate point. This study shows the weights play important role in controlling the shape of curve segment. By using the barycentric coordinate, it will make related equations and inequations easier to understand and to be manipulated.
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