uniform Element Reference

Uniform point sample generation over the 2D unit interval, where samples are generated uniformly in a grid over the domain. More...

Inheritance diagram for uniform:

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Detailed Description

Uniform point sample generation over the 2D unit interval, where samples are generated uniformly in a grid over the domain.

Note:

The regular spacing of samples can manifest itself as coherent aliasing during rendering. That is, grid-like structure of uniformly-generated samples discretizes the domain s.t. if the function being evaluated is not very constant, the grid pattern manifests as familiar stair-casing or "jaggies" in the estimation of how the function looks over the domain. The human eye is very sensitive to patterns and much less sensitive to noise, so by adding some randomness to our placement of sample points (see generator::stochastic or generator::jittered), we can reduce the regular nature of our samples which can lead to deterministic aliasing. Note that stochastic (random) sampling doesn't necessarily diminish aliasing in and of itself; it's just a safety measure against certain functions for which uniform sampling is guaranteed to alias.

64 samples generated uniformly over an 8x8 grid

Note:

uniform corresponds to the underlying Milton class 'UniformSampleGenerator.'