Triangulation of Vector Graphics: Polygon Decomposition and Monotone Polygon Algorithms

This article explains how to convert vector‑graphics paths into GPU‑ready triangles by approximating Bézier curves with poly‑lines, simplifying self‑intersecting polygons using the Bentley‑Ottmann sweep‑line algorithm, decomposing simple polygons into monotone pieces, and finally triangulating those monotone polygons.

Bézier curvesComputational GeometryGPU rendering

0 likes · 21 min read

Triangulation of Vector Graphics: Polygon Decomposition and Monotone Polygon Algorithms

Bilibili Tech

Sep 13, 2022 · Frontend Development

Vector Animation Foundations: Path Class, Bézier Curves, and Rational Bézier Geometry

The article explains how Bilibili’s Chronos engine can support vector animation by defining a Path class that stores drawing verbs, points, and conic weights, and by detailing Bézier and rational Bézier curve mathematics, De Casteljau evaluation, subdivision, and flattening techniques needed for resolution‑independent, GPU‑friendly rendering.

Bézier curvesGeometryanimation

0 likes · 22 min read

Vector Animation Foundations: Path Class, Bézier Curves, and Rational Bézier Geometry

Aotu Lab

Jan 26, 2022 · Frontend Development

Extensible UI Secrets: Remote Rendering, AST Basics, i18n & Bézier Curves

This article explores Shopify's remote‑rendering UI framework, demystifies abstract syntax trees for JavaScript tooling, provides a step‑by‑step guide to frontend internationalization, dives into the mathematics of Bézier curves, and shares a two‑year product case study on scaling to tens of millions in revenue.

ASTBézier curvesUI architecture

0 likes · 5 min read

Extensible UI Secrets: Remote Rendering, AST Basics, i18n & Bézier Curves