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COMPUTER GRAPHICS WITH ENUMERATING QMC SEQUENCES IN VOXELS

机译:在体素中具有QMC序列的计算机图形

摘要

The invention provides systems and computer-implemented methods for evaluating integrals using quasi-Monte Carlo methodologies, and in particular embodiments, adaptive quasi-Monte Carlo integration and adaptive integro-approximation in conjunction with techniques including a scrambled Halton Sequence, stratification by radical inversion, stratified samples from the Halton Sequence, deterministic scrambling, bias elimination by randomization, adaptive and deterministic anti-aliasing, anti-aliasing by rank-1 lattices, and trajectory splitting by dependent sampling and rank-1 lattices.
机译:本发明提供了使用准蒙特卡洛方法来评估积分的系统和计算机实现的方法,并且在特定实施例中,结合包括加扰的哈顿序列,通过自由基反转进行分层的技术,自适应准蒙特卡洛积分和自适应积分逼近, Halton序列中的分层样本,确定性加扰,通过随机消除偏差,自适应和确定性抗混叠,通过1级格进行抗混叠以及通过相关采样和1级格进行轨迹分割。

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