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Poisson disk sampling through disk packing

机译:通过磁盘包装进行泊松磁盘采样

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Abstract Poisson disk sampling is an important problem in computer graphics and has a wide variety of applications in imaging, geometry, rendering, etc. In this paper, we propose a novel Poisson disk sampling algorithm based on disk packing. The key idea uses the observation that a relatively dense disk packing layout naturally satisfies the Poisson disk distribution property that each point is no closer to the others than a specified minimum distance, i.e., the Poisson disk radius. We use this property to propose a relaxation algorithm that achieves a good balance between the random and uniform properties needed for Poisson disk distributions. Our algorithm is easily adapted to image stippling by extending identical disk packing to unequal disks. Experimental results demonstrate the efficacy of our approaches.
机译:摘要泊松磁盘采样是计算机图形学中的一个重要问题,在成像,几何图形,渲染等方面具有广泛的应用。本文提出了一种基于磁盘打包的新型泊松磁盘采样算法。关键思想是使用这样的观察结果:相对密集的磁盘填充布局自然可以满足Poisson磁盘分布特性,即每个点不比指定的最小距离(即Poisson磁盘半径)更接近其他点。我们使用此属性来提出一种松弛算法,该算法可在泊松磁盘分布所需的随机属性和均匀属性之间实现良好的平衡。通过将相同的磁盘包装扩展到不相等的磁盘,我们的算法很容易适用于图像点画。实验结果证明了我们方法的有效性。

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