The Continuity of Splines
10 人推荐 · 跨 11 个月 · 2022–2026

中文导读
技术艺术家 Freya Holmer 耗时打造的 74 分钟可视化长文视频。她自研动画工具,生动拆解了贝塞尔曲线、B样条、导数以及 C0、C1、C2 连续性的数学几何直觉,把抽象概念讲得跃然纸上。
为什么 HN 推它
任何想彻底吃透样条曲线(Splines)与贝塞尔数学的工程师与图形开发者的首选指南,被无数技术人奉为图形学可视化教学的艺术品。
「恕我直言,这绝对是全网关于编程数学议题最优秀的教学视频之一,没有之一。」HN 网友原话:is (IMHO) one of the best educational videos on a programming topic, full stop.
英文原摘要(HackerTube / Claude 整理)
Freya Holmer's 74-minute video essay on splines, covering Bezier curves, B-splines, derivatives and the different levels of continuity (C0, C1, C2), built with custom animation tools. She notes she did not cover non-uniform splines.
It is the go-to recommendation for anyone who wants to genuinely understand Bezier curves and splines, and commenters repeatedly call it one of the best programming-related educational videos.
HN 上的提及
which is a great line
Another upvote for Freya Holmér's amazing video "The Continuity of Splines".
Also from her - The Continuity of Splines [0].
It's a detailed discussion of how you derive Bèzier and higher-order curves to serve your purposes.