Sampling theory (part II)

CS 348B - Computer Graphics: Image Synthesis Techniques
Spring Quarter, 1997
Marc Levoy
Lecture notes for Thursday, April 11
Handout #10

Table of contents:

• Fourier analysis
  • Periodic functions
  • Fourier series
  • Example
  • Spectra
  • Representation using complex exponentials
  • Fourier integral
  • Fourier transform
  • Example of a transform
  • 2D Fourier transform
  • The similarity theorem
  • The shift theorem
  • The convolution theorem
  • Dualities
• Sampling (continued)
  • Sampling in the frequency domain
  • Reconstruction
  • Graphical depiction of sampling and aliasing (H.O. #6)
• Application to computer graphics
  • Spatial aliasing
  • Temporal aliasing

Press here for Part I of this lecture.