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Here, we propose a new family of blue noise distributions,\n            <jats:italic>Stair blue noise<\/jats:italic>\n            , which is mathematically tractable and enables parameter optimization to obtain the optimal sampling distribution. Furthermore, for a given sample budget, the proposed blue noise distribution achieves a significantly larger alias-free low-frequency region compared to existing approaches, without introducing visible artifacts in the mid-frequencies. We also develop a new sample synthesis algorithm that benefits from the use of an unbiased spatial statistics estimator and efficient optimization strategies.\n          <\/jats:p>","DOI":"10.1145\/2980179.2982435","type":"journal-article","created":{"date-parts":[[2016,11,11]],"date-time":"2016-11-11T17:02:54Z","timestamp":1478883774000},"page":"1-10","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":16,"title":["Stair blue noise sampling"],"prefix":"10.1145","volume":"35","author":[{"given":"Bhavya","family":"Kailkhura","sequence":"first","affiliation":[{"name":"Syracuse University and Lawrence Livermore National Laboratory"}]},{"given":"Jayaraman J.","family":"Thiagarajan","sequence":"additional","affiliation":[{"name":"Lawrence Livermore National Laboratory"}]},{"given":"Peer-Timo","family":"Bremer","sequence":"additional","affiliation":[{"name":"Lawrence Livermore National Laboratory"}]},{"given":"Pramod K.","family":"Varshney","sequence":"additional","affiliation":[{"name":"Syracuse University"}]}],"member":"320","published-online":{"date-parts":[[2016,12,5]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531392"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/1278780.1278807"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/7529.8927"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/2366145.2366190"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/1141911.1141915"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/2010324.1964944"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2012.03059.x"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/2522528"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1145\/2010324.1964943"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/1640443.1640451"},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/2487228.2487233"},{"key":"e_1_2_1_12_1","doi-asserted-by":"crossref","unstructured":"Illian J. 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Stillinger F. and Torquato S. 2006. On the realizability of pair correlation functions. Physica A: Statistical Mechanics and its Applications 360 1 21 -- 36.  Uche O. Stillinger F. and Torquato S. 2006. On the realizability of pair correlation functions. 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