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Session Name:

Fundamentals of Grassmann Algebra


This session provides a thorough introduction to the basic geometric properties of the wedge product and multivectors as they would be used in game development. Particular focus is given to the geometric manipulation of points, lines, and planes in generalized homogeneous coordinates. It will also explain how seemingly quirky behaviors in everyday graphics programming, such as the transformation of a normal vector by the inverse transpose of a matrix, arise naturally when viewed from a larger algebraic context.

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  • GDC 2012
  • Eric Lengyel
  • Terathon Software LLC
  • free content
  • Programming
  • Programming