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A Simple Push-Pull Algorithm for Blue-Noise Sampling
Dec 05, 2017Author:
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Title: A Simple Push-Pull Algorithm for Blue-Noise Sampling

 Authors: Ahmed, AGM; Guo, JW; Yan, DM; Franceschia, JY; Zhang, XP; Deussen, O

 Author Full Names: Ahmed, Abdalla G. M.; Guo, Jianwei; Yan, Dong-Ming; Franceschia, Jean-Yves; Zhang, Xiaopeng; Deussen, Oliver

 Source: IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 23 (12):2496-2508; 10.1109/TVCG.2016.2641963 DEC 2017

 Language: English

 Abstract: We describe a simple push-pull optimization (PPO) algorithm for blue-noise sampling by enforcing spatial constraints on given point sets. Constraints can be a minimum distance between samples, a maximum distance between an arbitrary point and the nearest sample, and a maximum deviation of a sample's capacity (area of Voronoi cell) from the mean capacity. All of these constraints are based on the topology emerging from Delaunay triangulation, and they can be combined for improved sampling quality and efficiency. In addition, our algorithm offers flexibility for trading-off between different targets, such as noise and aliasing. We present several applications of the proposed algorithm, including anti-aliasing, stippling, and non-obtuse remeshing. Our experimental results illustrate the efficiency and the robustness of the proposed approach. Moreover, we demonstrate that our remeshing quality is superior to the current state-of-the-art approaches.

 ISSN: 1077-2626

 eISSN: 1941-0506

 IDS Number: FL6YZ

 Unique ID: WOS:000414393700002

 PubMed ID: 28029623

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