Viewing II: the mathematics of perspective

CS 248 - Introduction to Computer Graphics
Autumn Quarter, 2000
Marc Levoy
Lecture notes for Tuesday, November 14

Table of contents:

• OpenGL implementation of viewing:
  • Coordinate systems
  • Modeling and viewing transformations
  • Orthographic projection
  • Perspective projection: x' and y'
  • Perspective projection: z'
  • Clipping before versus after homogenization
• Polygon clipping
  1. Uses of polygon clipping
  2. Sutherland-Hodgman polygon clipping
• Accumulation buffer antialiasing under perspective
  • For pixel antialiasing
  • For depth of field