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Research Article | Open Access

Poisson disk sampling through disk packing

School of Computer Science and Technology, Shandong University, Jinan 250101, China.
Department of Computer Science, Xiamen University, Xiamen 361005, China.
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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.

Keywords

disk packingimage stipplingPoisson disk samplingpower diagram

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Computational Visual Media
Volume 1 Issue 1,
March 2015
Pages 17-26
DOI: 10.1007/s41095-015-0003-7
Cite this article:
Liang G, Lu L, Chen Z, et al. Poisson disk sampling through disk packing. Computational Visual Media, 2015, 1(1): 17-26. https://doi.org/10.1007/s41095-015-0003-7

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Revised: 19 September 2014
Accepted: 12 January 2015
Published: 08 August 2015
© The Author(s) 2015

This article is published with open access at Springerlink.com

This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
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