Bezier Surfaces

Bezier surfaces are mathematical models used in computer graphics and design to create smooth, curved 3D shapes. They extend the concept of Bezier curves (used for smooth lines) into two dimensions, enabling the shaping of complex surfaces by adjusting a set of control points. These patches are defined by these points, which influence the surface's form without necessarily lying on it. Bezier surfaces allow designers to craft intricate, smooth shapes with precision, widely used in industries like automotive design, animation, and product modeling for their flexibility and ease of manipulation.