Coordinate Systems And Transformations In 3D Graphics
3 articles inside this collection.
Master the mathematics of 3D transformations. From local space to screen space, learn how coordinate systems, matrices, and hierarchies enable complex 3D scenes.
Articles in this collection
Browse every chapter in sequence or jump straight to the lessons that matter most to you.
- 01Coordinate Spaces And HierarchiesDecember 15, 2025 · 6 min read
Coordinate spaces give meaning to vectors. Learn about local, world, view, and screen spaces, and why objects need their own coordinate systems for animation and reuse.
- 02Transformation Matrices, Homogeneous Coordinates & CompositionDecember 15, 2025 · 11 min read
Homogeneous coordinates unify translation, rotation, and scaling into matrix multiplication. Learn how 4x4 matrices enable elegant 3D transformations and why they're essential for graphics.
- 03Rotation Representations: Euler Vs. QuaternionsDecember 24, 2025 · 9 min read
A pragmatic route to 3–10× faster pipelines using caching and graph-aware jobs.