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Understanding Bézier Curves

Published: at 12:00 PM

Bézier curves are everywhere in computer graphics, from fonts to vector illustrations. While they might seem intimidating at first, they’re actually based on a beautifully simple concept.

In this article, you’ll learn:

  • How Bézier curves are constructed
  • The math behind linear, quadratic, and cubic Bézier curves
  • Practical applications and implementations

What is a Bézier Curve?

A Bézier curve is a smooth curve that’s defined by a set of control points. The curve starts at the first control point and ends at the last control point, but it doesn’t necessarily pass through the intermediate points.

If you would like to first get a feel for how Bézier curves work, you can play around with this interactive demo:

Bézier Curve Playground

Lerp

At its core, a Bézier curve is all about interpolation.

Linear Interpolation (Lerp)
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