In type design, Bézier curves are used to draw contours on digital applications with vectors drawn by placing points and handles. This technology allows us to rasterize digital shapes and keep their quality.

HISTORY

Bézier curve technology was developed by French mathematician and physicist Paul de Casteljau in 1959. Working at that time for the automobile brand Citroën, de Casteljau developed a mathematical formula to improve the design process of car bodies. French engineer Pierre Bézier used the same technology in 1962 for Renault (another automobile brand) to create shapes using digital tools. It wasn’t until 1985, when Citroën lifted its industrial secrecy clause, that de Casteljau could speak about his work and Pierre Bézier was able to publicly mention the origins of his own.

In 1982, Bézier curves were used by the American computer scientist John Warnock to develop a technology for describing and positioning digital shapes and contours for the company that he co-founded with Charles Geschke: Adobe Systems.

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There are two types of Bézier curves: cubic and quadratic.

A cubic Bézier curve section requires the positioning of four points (two points and two handles), creating three sections between each point. The overall shape resembles a cubic shape, hence the name. Postscript font formats use cubic curves.

Quadratic curves are formed by three points (two points and one control point) to create a curve, with two sections cut halfway through to determine where the curve turns to the other point. TrueType font formats use quadratic curves.