A Bezier surface is a mathematical representation used in computer graphics and design to create smooth and flexible shapes. It is defined by a set of control points, which influence the surface's curvature and form. The surface is generated using the principles of Bezier curves, extending them into two dimensions. These surfaces are widely used in various applications, including CAD (Computer-Aided Design), animation, and 3D modeling. By adjusting the control points, designers can easily manipulate the surface, allowing for intricate designs and smooth transitions between shapes. This versatility makes Bezier surfaces a fundamental tool in digital design.