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Physically Based Rendering, 3rd Edition by Greg Humphreys, Wenzel Jakob, Matt Pharr

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16.4 Metropolis light transport

In 1997, Veach and Guibas proposed an unconventional rendering technique named Metropolis Light Transport (MLT), which applies the Metropolis-Hastings algorithm from Section 13.4 to the path space integral in Equation (16.1). Whereas all of the rendering techniques we have discussed until now have been based on the principles of Monte Carlo integration and independent sample generation, MLT adopts a different set of tools that allows samples to be statistically correlated.

MLT generates a sequence of light-carrying paths through the scene, where each path is found by mutating the previous path in some manner. These path mutations are done in a way that ensures that the overall distribution of sampled paths is ...

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