A Bézier curve is a mathematical curve used in computer graphics and related fields to model smooth curves. 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 shapes and designs. These curves are widely used in applications such as Adobe Illustrator, AutoCAD, and font design because they provide a flexible way to create and manipulate shapes. The curves are particularly valued for their ease of use and the smooth transitions they create, making them essential in digital design.