13.05.2018 Views

merged

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Quadratic Trigonometric Polynomial Curves with a Shape Parameter<br />

Norsafiqah Binti Mohd Rahimi<br />

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

Bachelor of Science (Computational Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Quadratic trigonometric polynomial (QTP) curves with a shape parameter have its own<br />

basis function that can be described with trigonometric functions. Curved objects can be<br />

found everywhere which always need for mathematical fidelity, high precision, artistic<br />

freedom and flexibility which can helped by Computer-aided geometric design (CADG).<br />

Work on curve design of QTP have different in closeness to the given control polygon<br />

compared to B-spline, QTP have C 2 continuity which is non-uniform knot vector and<br />

quadratic B-spline have C 1 continuity. There are some advantages of using a shape of<br />

QTP curve. The purpose of this research are to determine the properties of the QTP<br />

curves with a shape parameter and discuss the about the shapes the curve using<br />

Mathematica and how benefits for design intent. Furthermore, we use Mathematica<br />

explicitly to show the characteristics of the trigonometric basis function which enables<br />

QTP as a suitable curve for design intent.<br />

970 | UMT UNDERGRADUATE RESEARCH DAY 2018

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!