Design of Bezier Curves of Some Surfaces with Matlab Applications

Abstract

Bezier curves are special types of curves defined by control points. The large number of control points naturally affects the form of the Bezier curve. When the control points of a Bezier curve are the points of a surface in R3, the Bezier 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 Bezier 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. © 2026, Association of Mathematicians (MATDER). All rights reserved.