#beziercurves#splines#vectorgraphics
The Beauty of Bézier Curves
291K subscribers • 6 videos on Hallway
- Recommended by 17 people: 16 on Hacker News and 1 on Lobsters.
- A classic. People kept recommending it from 2021 to 2026.
- Presented by Freya Holmér, game developer
- Linked in the descriptionFreyaHolmer/Mathfs
Beginner. No background in the topic needed.
2.2M views5 years ago17 recommendations
Graphics and audioComputer scienceRenderingCreative codingMath for programmers
Freya Holmér explains the mathematics and visual construction of Bézier curves and their applications in computer graphics and animation.
Bézier curves - how do they do? They're used for animation, text rendering, and all sorts of curved shapes! But how do they actually work? well, like, that's what the video is about, so, watch it to find out etc!! • Lots of love to 💛 Jazz "queenjazz" Mickle for making the music ❱ queenjazz.bandcamp.com/ 💙 Grant "3Blue1Brown" Sanderson for pushing me to finally do this ❱ youtube.com/3blue1brown 🐦 Pomax for their wonderful writeup on Bézier curves ❱ pomax.github.io/bezierinfo 🐈 Thor the cat for.. hanging out.. when I was trying to record audio with no interruptions 🇫🇷 French subtitles by @damqui on Twitter • How was this video made? 🔨 Created in the Unity game engine ⭕ Using Shapes, my vector graphics plugin ❱ u3d.as/1W37 📈 Using Mathfs, my math library ❱ github.com/FreyaHolmer/Mathfs ...along with a bunch of hacky, partially broken, procedural animation tools I made specifically for this video • Did you know that "osculating" isn't pronounced that way? ✅ yes I do now in fact please stop commenting on it ;-; ❱ twitter.com/FreyaHolmer/status/1429472399389507591 • Links 💖 Patreon ❱ patreon.com/acegikmo 🐦 Twitter ❱ twitter.com/FreyaHolmer 📺 Twitch ❱ twitch.tv/acegikmo 💬 Discord ❱ discord.gg/v5VWuga 🌸 Instagram ❱ instagram.com/freya_holmer 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 2amWhy it's here
17 people recommend thisWhat people say. Highly recommended as one of the best visual and educational explanations of Bézier curves and spline mathematics.
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