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Animation

Bezier Curve

A bezier curve is a mathematical curve defined by control points, used in animation to create custom easing and motion paths with precise control over acceleration and direction.

Bezier curves are the mathematical foundation of smooth curves in computer graphics and animation. Defined by anchor points and control handles, they allow animators to create precisely shaped paths and timing functions. In video production, bezier curves appear in two main contexts: as motion paths that define where an element travels on screen, and as speed graphs that define how fast it moves at each point along that path.

When used for easing, a bezier curve in the speed graph lets an animator fine-tune exactly how an element accelerates and decelerates. The two control handles of a cubic bezier define the curve's shape — pulling a handle up creates faster movement at that point, while pulling it down creates slower movement. This level of control goes far beyond simple preset easings and enables highly specific, branded animation feels.

Understanding bezier curves helps when communicating about animation quality. If a logo animation feels "too snappy" or "too floaty," the solution lies in adjusting the bezier curves. Professional animators spend significant time refining these curves to achieve motion that feels intentional, elegant, and aligned with a brand's personality. The difference between good and great animation often comes down to bezier curve refinement.

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Bezier Curve — Glossaire | O'Yelen Studio