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Pengawalan Lengkung Kubik Nisbah Alternatif

Azhar Ahmad, and Jamaludin Md. Ali, (2003) Pengawalan Lengkung Kubik Nisbah Alternatif. Matematika, 19 (1). pp. 7-14. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/200319101.pdf

Affiliations

Kolej Matrikulasi Pulau Pinang
Universiti Sains Malaysia, School of Mathematical Studies

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 end points, 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.

Item Type:Journal
Keywords:rational alternative cubic curve, controlling, barycentric coordinate
Subjects:Q Science, Computer Science
ID Code:5631

[1] Jamaludin M. Ali . Geometric Control of Planar Curves. PhD thesis: School of Manufacturing, The University of Birmingham, Edgbaston, Birmingham, U.K. 1994.

[2] Jamaludin M. Ali, An Alternative Derivation of Said Basic Function, Sains Malaysiana, Universiti Kebangsaan Malaysia, Vol 23(3), 1994.

[3] Gerald E. Farin, Computer Aided Geometric Design: A Practical Guide, New York: Academic Press, 1996.

[4] Duncan Marsh, Applied Geometry for Computer Graphics and CAD, London: Springer-Verlag Limited, 1999.

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