Author/Authors :
Wei, Lee Khiy Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematical Sciences, Malaysia , Murid, Ali H. M. Universiti Teknologi Malaysia - Faculty of Science, Centre for Industrial and Applied Mathematics (CIAM) - Department of Mathematical Sciences, Malaysia , Hoe, Yeak Su Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematical Sciences, Malaysia
Abstract :
Previous studies have shown computation of conformal mapping in whichthe exact parameterization of the boundary of the region is assumed known. Howeverthere are regions whose boundaries have no known exact parameterization. Periodiccubic spline interpolation had been introduced to approximate and obtain the parameterization.We present a numerical procedure to generate periodic cubic spline from theboundary of a 2-dimensional object by using Mathematica software. First we obtainCartesian coordinates points from the boundary of this 2-dimensional object. Thenwe convert them into polar coordinates form. Finally the cubic spline is generatedbased on this polar coordinate points. Some results of our numerical experiments arepresented.
