A Bézier curve is a parametric curve frequently used in computer graphics, animations, and related fields to model smooth curves. In this project, we focus on cubic Bézier curves, which are defined by: Two endpoints: $(x_1, y_1)$ and $(x_4, y_4)$. Two control points: $(x_2,...
It shows that any polynomial curve can be obtained through the Bezier technique by selecting control points with a uniform 胃 increment and the simple and intuitive nature of the Bezier technique in computer graphics is fully preserved in motion program synthesis. The boundary control, including the...
The author's derivation of the invariants differs from that of Patterson's and extends naturally to the rational Bezier surfaces. In this paper it is shown that 13 continuous invariant functions and a discrete, sign-pattern, invariant exist for the bi-cubic surfaces. Explicit functional forms of...
Bezier Curves are currently used by most modeling companies around the world; they are taught in details in all computer graphic courses. However some students find the concept of these curves not friendly enough to understand and use in their projects. In fact the derivation of Bezier functions...