De Casteljau’s Algorithm for Constructing Bézier Curves & Surfaces
Abstract
The curves and surfaces of Computer-Aided Geometric Design (CAGD) are used in numerous industries and technologies. From the cups people drink from to the transportation they use to commute, people are surrounded by curves and surfaces. The mathematical concepts studied include Bézier and Lagrange interpolation, and the resulting curves and surfaces can be viewed graphically usingMaple software. These shapes are key to the design of airplanes and cars. We study De Casteljau’s algorithm to construct curves and surfaces of interest in the auto industry.
Presenters: Shelby Pauling, Wrayzene Willoughby
Advisor: Jeffrey Ehme, Professor of Mathematics
Colm Mulcahy, Professor of Mathematics
