OpenType Font Features, in Use.

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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.

Fraction Amount Count
89 12/3 293,987.00 29,387.00 780
45 34/78 456.09 7,389
81 90/31 1,234.31 23
81 92/87 3,231.31 928,378 9,283

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.

From Luc Devroye’s “Bézier curve” text.

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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.

Fraction Amount Count
89 12/3 293,987.00 29,387.00 780
45 34/78 456.09 7,389
81 90/31 1,234.31 23
81 92/87 3,231.31 928,378 9,283

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.

From Luc Devroye’s “Bézier curve” text.

The OpenType Features Viewer uses Recursive typeface by ArrowType to showcase the capabilities of OpenType Features.