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Geometry Design of a Dining Table by Using
Partial Differential Equation
Norhaniza Binti Mohd
Supervisor: Dr. Nur Baini Binti Ismail
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
Free-form surface is widely used to generate a design with the help of Computer-Aided
Design (CAD) and Computer-Aided Geometric Design (CAGD). Other methods are B-
Spline, Bezier surfaces and non-uniform rational B-spline (NURBS). However, these
methods have their disadvantages, for Bezier surfaces, its do not provide local controls
which can affect the overall shape of the patch. Therefore, this study proposed to use
Partial Differential Equation (PDE) to generate a smooth surface of the dining table.
Generally, the study begins by extracting the boundary points of the object using
Autodesk MAYA software and record the points in term of xyz-coordinates. Next, change
the boundary points to boundary curves by using the coefficient of the Fourier series.
Finally, use the fourth-order elliptic PDE to generate the dining table. As a result, a smooth
PDE surface of the dining table can be produce. Then, the shape can be manipulated with
different diameters.
969 | UMT UNDERGRADUATE RESEARCH DAY 2018