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Cubic Trigonometric Bezier Curves with a Single Shape Parameter<br />

Nor Aimie Fazliza Binti Kamarudin<br />

Supervisor: Assoc. Prof. Dr. Gobithaasan Rudrusamy<br />

Bachelor of Science (Computational Mathematics)<br />

School of Informatics and Applied Mathematics<br />

This project aims to reproduce cubic trigonometric Bezier curves with single shape<br />

parameter. To note traditional Bezier curves cannot be used to represent conic sections<br />

without inserting weights for each control points. The objectives of this project are to<br />

identify the basic function and characteristic of the cubic trigonometric Bezier curves with<br />

a shape parameter and to generate various shapes of cubic trigonometric Bezier curves<br />

with Mathematica. The shape parameter gives the control to create various shapes thus<br />

its has high potential for design environment. The first part delves with the identification<br />

of its the basic functions and the characteristics of the curve. The second part delves with<br />

various shape design. It is evident that the cubic trigonometric Bezier curve with the<br />

shape parameter are closer to its control polygon than the traditonal cubic Bezier curve<br />

which can be useful during design intent.<br />

963 | UMT UNDERGRADUATE RESEARCH DAY 2018

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