Scatter estimation for PET reconstruction
NMA'10 Proceedings of the 7th international conference on Numerical methods and applications
A monte carlo approach for the cook-torrance model
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
Analysis of the monte carlo image creation by uniform separation
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Gamma photon transport on the GPU for PET
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
An evaluation of a sketch-based model-by-example approach for crowd modelling
AUIC '12 Proceedings of the Thirteenth Australasian User Interface Conference - Volume 126
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This book discusses Monte Carlo algorithms and their application to solve the global illumination rendering problem of computer graphics. Mathematically, photo-realistic rendering is equivalent to the solution of an integral equation that can be successfully attacked by Monte Carlo integration techniques. The book first discusses the theory of light-surface interaction and the equations that describe materials and the transfer of the illumination. We examine Monte Carlo and quasi-Monte Carlo approaches, which can be used to solve these equations. A considerable space is devoted to variance reduction techniques, including importance sampling, correlated sampling, the Metropolis method, weighted importance sampling, etc. Then the book presents random walk algorithms, like path tracing, light tracing, bi-directional path tracing, photon mapping, instant radiosity, Metropolis light transport, etc. Stochastic iterative techniques are also surveyed. Finally, implementation details are shortly addressed taking the example of path tracing.