Deterministic Consistent Density Estimation for Light Transport Simulation

Quasi-Monte Carlo methods often are more efficient than Monte Carlo methods, mainly, because deterministic low discrepancy sequences are more uniformly distributed than independent random numbers ever can be. So far, tensor product quasi-Monte Carlo techniques have been the only deterministic approach to consistent density estimation. By avoiding the repeated computation of identical information, which is intrinsic to the tensor product approach, a more efficient quasi-Monte Carlo method is derived. Its analysis relies on the properties of (0, 1)-sequences, provides new insights, and generalizes previous approaches to light transport simulation.