Bézier curves are mathematical curves used in computer graphics and related fields to model smooth shapes. They are defined by a set of control points, with the simplest form being a linear curve defined by two points. More complex curves, like quadratic and cubic Bézier curves, use three and four control points, respectively, allowing for greater flexibility in shape design. These curves are widely used in applications such as vector graphics, animation, and font design. Their ability to create smooth transitions and intricate shapes makes them essential tools for designers and engineers working with digital graphics.