A course in density estimation
A course in density estimation
Realistic image synthesis using photon mapping
Realistic image synthesis using photon mapping
Convergence properties of Monte Carlo functional expansion tallies
Journal of Computational Physics
Efficient, automated Monte Carlo methods for radiation transport
Journal of Computational Physics
Journal of Computational Physics
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In this paper we develop novel extensions of collision and track length estimators for the complete space-angle solutions of radiative transport problems. We derive the relevant equations, prove that our new estimators are unbiased, and compare their performance with that of more conventional estimators. Such comparisons based on numerical solutions of simple one dimensional slab problems indicate the the potential superiority of the new estimators for a wide variety of more general transport problems.