Design of B´ezier Curves of Some Surfaces with Matlab Applications

Abstract

B´ezier curves are special types of curves defined by control points. The large number of control points naturally affects the form of the B´ezier curve. When the control points of a B´ezier curve are the points of a surfacein $\mathbb{R}^3$, the B´ezier curve will be obtained depending on the surface as well as the control points. As the number of points on the surface increases, the obtained B´ezier curve will approach the limit of positioning on the surface. The study examines this approach. In addition, the theory is exemplified using the Matlab program.

Keywords

• Bernstein polynomials
• B´ezier curves
• De Casteljau algorithms
• Matlab

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