Linear Algebra › Section B · Matrix algebra › Topic B.7

Matrices in computer graphics

Every time a game character turns, a map zooms or a 3D model spins on screen, a computer is multiplying matrices. One clever trick, adding an extra coordinate, lets a single matrix product move, turn, stretch and even put perspective on a picture.

In this topic

  • Pictures as matrices
  • The basic linear moves
  • Worked example: slanting a rectangle
  • The trouble with translation
  • Homogeneous coordinates
  • Composite transformations
  • Worked example: rotating about a point
  • Three dimensions
  • Perspective projection
  • Common mistakes to avoid
  • Key takeaways

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