Perspective viewing and clipping (part II)

CS 248 - Introduction to Computer Graphics
Spring Quarter, 1995
Marc Levoy
Lecture notes for Thursday, May 18

Table of contents:

• Mathematics of planar geometric projections
  • Derivation of 3D - 2D perspective matrix
  • Homogeneous formulation, 3D - distorted 3D
  • Source and target spaces
  • Derivation for x' and y'
  • Derivation for z'
• The transformation and clipping pipeline
  • Clipping before versus after homogenization
  • The matrix we derived versus the SGI matrix
  • Summary of pipeline
• Perspective and supersampling
  • Continuous convolution, one pixel
  • Discrete convolution, all pixels
  • Resulting perspective view
  • 3 ways to implement this
  • Depth of field

Press here for part I of this lecture.