TYPE DESIGN INFORMATION PAGE last updated on Tue Sep 25 00:07:54 EDT 2018

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LUC DEVROYE


ABOUT







Bezier curve

A Bézier curve is a parametric curve frequently used in computer graphics and related fields such as type design. Bézier curves are used to model smooth curves that can be scaled indefinitely. The mathematical basis for Bézier curves is the Bernstein polynomial (1912), but its applicability to graphics was understood half a century later. Bézier curves were widely publicized in 1962 by the French engineer Pierre Bézier who used them to design automobile bodies at Renault. The study of these curves was first developed in 1959 by mathematician Paul de Casteljau using de Casteljau's algorithm, a numerically stable method to evaluate Bézier curves, at Citroën, another French automaker.

TrueType fonts use Bézier splines composed of quadratic Bézier curves. Type 1 or PostScript fonts use cubic Bézier curves. Imaging systems like PostScript, Metafont, and SVG use Bézier splines composed of cubic Bézier curves for drawing curved shapes. OpenType fonts can use either kind, depending on the flavor of the font.

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Bezier curves ⦿ SVG typefaces ⦿








file name: Pierre Bezier Caricature


file name: Pierre Bezier


file name: Quadratic Bezier Curve


file name: Quartic Bezier Curve


file name: Cubic Bezier Curve


file name: Fifth Order Bezier Curve







Luc Devroye ⦿ School of Computer Science ⦿ McGill University Montreal, Canada H3A 2K6 ⦿ lucdevroye@gmail.com ⦿ http://luc.devroye.org ⦿ http://luc.devroye.org/fonts.html