Correlated Multi-Jittered Sampling

Image synthesis techniques requiringMonteCarlo integration frequentlyneed to generate uniformly distributed samples within the unit hypercube. The ideal sample generation method will maximize the variance reduction as the numberof samples increases. Strati cationvia jittering is one simple, tractable, R. L. Cook. Stochastic sampling in computer graphics. ACM Transactions on Graphics, 5(1):51–72, January 1986. well known and well understood technique for generating samples, though there are other methods. Of these, low-discrepancy quasi-Monte Carlo (QMC) sequences such as Sobol’s (0,2) sequence and the Larcher-Pillichshammer sequence have beI. M. Sobol’. On the distribution of points in a cube and the approximate evaluation of integrals. USSR Computational Mathematics and Mathematical Physics, 7(4):86–112, 1967.