A Bezier curve is a mathematical curve used in computer graphics and related fields to model smooth shapes. It is defined by a set of control points, with the simplest form being a linear curve defined by two points. More complex curves can be created using additional control points, allowing for intricate designs and smooth transitions. Bezier curves are widely used in vector graphics software, animation, and font design. They provide a flexible way to create and manipulate shapes, making them essential tools for designers and artists. Their smoothness and precision make them ideal for representing curves in digital environments.