Title of article
Characterization of Planar Cubic Alternative Curve
Author/Authors
Ahamd, Azhar Sultan Idris University of Education - Department of Mathematics, Malaysia , Gobithaasan, R.U. University Malaysia Terengganu - Department of Mathematics, Malaysia , Ali, Jamaluddin Md. School of Mathematical Science - University of Science Malaysia, Malaysia
From page
125
To page
134
Abstract
The investigation on a planar cubic Alternative curve is carried out to determine the conditions for the existence of convex, loops, cusps and inflection points. First, the cubic curve is represented by a linear combination of three control points with the basis functions formulated with two shape parameters. Upon algebraic manipulation, the constraint of shape parameters are determined and sufficient conditions which ensure that the curve is either strictly convex or with loops, cusps and inflection point are identified resulting in a shape diagram.
Keywords
Cubic Alternative curve , shape characterization , shape diagram
Journal title
Matematika
Journal title
Matematika
Record number
2569867
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