Aliasing and antialiasing

CS 248 - Introduction to Computer Graphics
Autumn Quarter, 2006
Marc Levoy
Lecture notes for Tuesday, October 10

Table of contents:

• Frequency domain analysis of sampling (a quick tour)
  • Spectral representations
  • Fourier series: periodic functions
  • Example: sum of sines
  • Spectra: a pair of graphs
  • Representation using complex exponentials
  • Fourier integral: aperiodic functions
  • Fourier transform
  • Example of a transform: box and sinc
  • Dualities
• What's the best way to prevent aliasing?
  • Raising the sampling rate versus filtering
  • Problem: fixed resolution displays