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Designing of Pan using Partial Differential Equation
Maziah Binti Mohamad
Supervisor: Dr. Nur Baini Binti Ismail
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
Free-form surface is used in creating designs assisted by Computer-Aided Design (CAD)
and Computer-Aided Geometry Design (CAGD). Other methods such as B-Spline, Bezier
surfaces and Non Uniform Rational B-Spline (NURBS) also can be used to generate a
design. However, spline method prevents spline surfaces from being fully utilized in
design application because control point and related weight distributed across the surface
unevenly. So, the purposed of this project to use Partial Differential Equation (PDE) to
generate a smooth surface of pan. This method starts with finding boundary points of
pan by using Autodesk Maya and records the coordinates in term of xyz. Then, change
the boundary points to boundary curves by using coefficient of Fourier series and use
fourth-order elliptic PDE to generate a pan. As a result, smooth PDE surface of pan can
be produced. Then, the difference types of size and depth of pan can be generate.
944 | UMT UNDERGRADUATE RESEARCH DAY 2018