Speaker: Stacey A. Worrell
Candidate for Bachelor of Science in Mathematics
Time: 3:45 PM
Place: Trustee Hall 203
Supervisor: Dr. Michael Saclolo
Title: Modeling Plane Curves Using Bezier Splines

Abstract: Plane curves can be modeled by Bezier curves, which use the Bezier cubic. To model the curve, it is first divided into a number of small segments. Each segment is then matched as closely as possible with a Bezier cubic to create a piecewise Bezier curve. The result is called a Bezier spline. While performing my research I studied the properties of Bezier curves and splines. The goal of my research project was to implement a system that would allow a user to input some number of control points describing the shape of the curve desired, and to see the corresponding Bezier spline Curve displayed. I have devised a program using Maple that implements this process. This program allows users to input multiple numbers of control points, and displays the corresponding spline curve.