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The Beauty of Bézier Curves

Freya Holmér via YouTube

Overview

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This short course explains how quadratic and cubic Bézier curves are constructed and analyzed. It covers interpolation, De Casteljau’s algorithm, derivatives, tangents, curvature, bounding boxes, arc length, and applications in animation and procedural geometry.

Syllabus

Intro
Use Cases of Bézier Curves
Lerp
Quadratic Béziers
Cubic Béziers
De Casteljau's Algorithm
Bernstein Polynomial Form
1st Derivative Velocity
Tangents & Normals
2nd Derivative Acceleration
3rd Derivative Jerk/Jolt
Curvature
Bounding Box
Arc Length
Arc Length Parameterization & Uniform Animation
Outro
Credits
Thor helping me record this at 2am

Taught by

Freya Holmér

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