Tim Purcell
CS 684 Homework 3
Sampling Strategies

All images are filtered with a width 1 box filter.
  Function 1:
L(x,y) = (0.5 + 0.5*fade*sin(2.0*Pi*a*exp(5*a)))
where a = x/Nx and fade = (1.0 - y/Ny)^3
Sampling Strategy 1 sample/pixel 9 samples/pixel 25 samples/pixel
Random
Regular
Jittered
Multi-jittered
  recursion depth = 1 recursion depth = 3 recursion depth = 5
Adaptive



  Function 2:
Black and White checkerboard on the xy (z=0) plane.
Eye at (0,0,1) looking in direction (1,1,0) and the vertical field of view is 90 degrees.
Checker color is determined by the sign of sin(x*Pi)*sin(y*Pi).
Sampling Strategy 1 sample/pixel 9 samples/pixel 25 samples/pixel
Random
Regular
Jittered
Multi-jittered
  recursion depth = 1 recursion depth = 3 recursion depth = 5
Adaptive
The adaptive method I used samples at the corners of the pixel. If the corners are all the same value, then return the value. If different, split the area into four pieces and recurse.


purcell@facility.cs.utah.edu

Last Modified January 26, 1998