Low discrepancy数列のコンピュータグラフィックスへの適用(<小特集>モンテカルロシミュレーション)  [in Japanese] Applications of Low Discrepancy Sequences for Computer Graphics (<Special Features> Monte Carlo Simulation)  [in Japanese]

In this paper, we applied low discrepancy sequences to the field of 2D and 3D sampling problems of image synthesis of Computer Graphics (CG) As low-discrepancy sequences, we selected Sobol's sequences, GFSR sequences. Good Lattice Points, and Hammersley Points We evaluated these sequences in computational time, discrepancy, and RMS error, and show the effectiveness and the problems of low discrepancy sequences. We also proposed a 3D sampling method based on low-discrepancy sequences, and improve the performance more than 47 percents in comparison with the previous method.