Comprehensive interactive reference covering Bézier curve math, construction via linear interpolation, and practical operations like intersections, bounding boxes, and extrusion.
Key Takeaways
Bézier curves are built from iterated linear interpolation (de Casteljau’s algorithm), equivalent to evaluating Bernstein polynomials.
Covers practical ops needed in CAD/CAM and vector graphics: bounding boxes, intersections, arc length, curve fitting, normals, and boolean shape operations.
All graphics are interactive SVG; site is fully readable with JS disabled, which is explicitly designed in.
Example code is intentional pseudo-code, not copy-pasteable, to force active learning across JS, Python, or any procedural language.
Open source on GitHub (pomax/BezierInfo-2); backed by Bezier.js and XeLaTeX-rendered math formulas.
Hacker News Comment Review
Commenters treat this as a canonical reference, not new content; the recurring appearance on HN reflects its role as a go-to evergreen resource for CG topics.
Freya Holmér’s YouTube video “The Beauty of Bézier Curves” was flagged as a strong visual complement for those who prefer video over the written primer.
Notable Comments
@jedimastert: Recommends Freya Holmér’s YouTube video as potentially “one of the best educational videos on YouTube” on the topic.
@tsylba: Notes CG primers like this cycle on HN repeatedly; proposed building primersprimer.graphics to catalog them.
