In order to have any hope of accurately reconstructing a function from a periodically sampled version of it, two conditions must be satisfied:

1. The function must be bandlimited.
2. The sampling frequency, f_s, must be at least twice the maximum
   frequency, f_max, of the function.

Satisfying these conditions will eliminate aliasing.

In practice:

• "Jaggies" are aliasing
• Both of the techniques discussed are used
  1. Super-sampling (more samples than pixels)
  2. Low-pass prefiltering (averaging of super-samples)