Composite Bézier curve

In geometric modelling and in computer graphics, a composite Bézier curve or Bezier spline is a spline made out of Bézier curves that is at least ${\displaystyle C^{0}}$ continuous. In other words, a composite Bézier curve is a series of Bézier curves joined end to end where the last point of one curve coincides with the starting point of the next curve. Depending on the application, additional smoothness requirements (such as ${\displaystyle C^{1}}$ or ${\displaystyle C^{2}}$ continuity) may be added.

Perhaps the most common use of composite Béziers is to describe the outline of each letter in a PostScript or PDF file. Such outlines are composed of one béziergon for open letters, or multiple béziergons for closed letters. Modern vector graphics and computer font systems like PostScript, Asymptote, Metafont, OpenType, and SVG use composite Bézier curves composed of cubic Bézier curves (3rd order curves) for drawing curved shapes.