What is the Bézier curve?
A Bézier curve is a curved line or path that is the result of a mathematical equation called a parametric function. It is widely implemented in computer graphics such as vector imaging that uses quadratic and cubic Bezier curves. Graphics software programs often include tools that create and manipulate Bezier curves, typically with control points that can control the shape, size, and orientation of the curves.
The curve display became necessary in graphic technology for mechanical engineering, especially in the 1950s and 1960s. In 1962, an engineer named Pierre Bézier (working for the Renault auto company) published research that led to significant improvements in computer-aided design (CAD), such as graphics linear interpolation (the basic concept of the Bézier curves).
A French doctor and mathematician named Paul De Casteljau was working on similar research in parallel with Bézier. However, Bézier's research was published first, which is why he is often credited with the earliest implementations of this technology.