A composition of three Midjourney visuals using the Bézier curve style in their prompts.

Where Design Meets AI

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What is a Bézier curve?

A Bézier curve is the line curve between two points with handles. Bézier curves are the foundation of vector design.

An outline of a bird drawn in Bézier-curve-style vector lines in Adobe Illustrator, using 5 line points only to achieve harmonious lines for the body, wing, and head of the bird.

Each point of a Bézier curve has two handles which can be adjusted in any direction. By doing so, the curve adjusts itself to follow the distance and point-in-space of the handles. This can also be calculated mathematically.

A single Bézier curve consists of two line points, 2 control handles each, and a reference baseline. The resulting line is a harmonious computation of the numerical values of the two points and their handles. When the handles of a point are changed, the curve will adjust itself accordingly.

A basic illustration of how a Bézier curve is achieved in Adobe Illustrator.

Bézier curves are named after Pierre Bézier, a French engineer. He patented and popularized the Bézier…