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Sample Elimination for Generating Poisson Disk Sample Sets

机译:消除样本以生成Poisson磁盘样本集

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摘要

In this paper we describe sample elimination for generating Poisson disk sample sets with a desired size. We introduce a greedy sample elimination algorithm that assigns a weight to each sample in a given set and eliminates the ones with greater weights in order to pick a subset of a desired size with Poisson disk property without having to specify a Poisson disk radius. This new algorithm is simple, computationally efficient, and it can work in any sampling domain, producing sample sets with more pronounced blue noise characteristics than dart throwing. Most importantly, it allows unbiased progressive (adaptive) sampling and it scales better to high dimensions than previous methods. However, it cannot guarantee maximal coverage. We provide a statistical analysis of our algorithm in 2D and higher dimensions as well as results from our tests with different example applications.
机译:在本文中,我们描述了用于生成具有所需大小的泊松圆盘样本集的样本消除。我们引入了贪婪样本消除算法,该算法为给定集合中的每个样本分配一个权重,并消除权重较大的样本,以选择具有Poisson磁盘属性的所需大小的子集,而无需指定Poisson磁盘半径。这种新算法简单,计算效率高,并且可以在任何采样域中工作,从而产生比飞镖投掷具有更明显的蓝噪声特征的样本集。最重要的是,它允许无偏向的渐进式(自适应)采样,并且与以前的方法相比,它可以更好地缩放到高尺寸。但是,它不能保证最大的覆盖范围。我们提供了二维和更高维算法的统计分析,以及我们在不同示例应用中的测试结果。

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