OpenGL is a cross-language, cross-platform API for rendering 2D and 3D Vector Graphics. It is used to perform a lot of design as well as animation using OpenGL. In this article, we will discuss the concept and implementation of the Bezier Curves OpenGL.
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Béziers curves are one of the parametric curves most frequently used in computer graphics and were independently developed for computer-assisted car design by two engineers, both working for French automobile companies: Pierre Bézier, who was an engineer for Renault, and Paul de Casteljau, who was an engineer for Citroën.
- The concept of Bezier curves was discovered by the French engineer Pierre Bézier.
- Bezier curves are basically used in computer graphics to draw shapes, for CSS animation, and in many other places.
- These are the curves that are generated under the control of some other points, also called control points.
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- A very important property of Bezier curves is that they always pass through the first and last control points.
- The degree of the polynomial defining the curve segment is always one less than the number of defining polygon points. So, for example, if we have 4 control points, then the degree of the polynomial is 3, i.e., cubic polynomial.
- In the Bezier curves, moving a control point alters the shape of the whole curve.
- A Bezier curve generally follows the shape of the defining polygon.
- A curve is always inside the convex hull of control points.
Below is the C++ program to implement the Bezier Curves:
Output:
👁 Image
