{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,25]],"date-time":"2025-06-25T06:03:34Z","timestamp":1750831414965,"version":"3.41.0"},"reference-count":30,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2013,6,1]],"date-time":"2013-06-01T00:00:00Z","timestamp":1370044800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2013,6]]},"abstract":"<jats:p>\n            In this article we revisit the problem of blue noise sampling with a strong focus on the spectral properties of the sampling patterns. Starting from the observation that oscillations in the power spectrum of a sampling pattern can cause aliasing artifacts in the resulting images, we synthesize two new types of blue noise patterns:\n            <jats:italic>step blue noise<\/jats:italic>\n            with a power spectrum in the form of a step function and\n            <jats:italic>single-peak blue noise<\/jats:italic>\n            with a wide zero-region and no oscillations except for a single peak. We study the mathematical relationship of the radial power spectrum to a spatial statistic known as the radial distribution function to determine which power spectra can actually be realized and to construct the corresponding point sets. Finally, we show that both proposed sampling patterns effectively prevent structured aliasing at low sampling rates and perform well at high sampling rates.\n          <\/jats:p>","DOI":"10.1145\/2487228.2487233","type":"journal-article","created":{"date-parts":[[2013,7,2]],"date-time":"2013-07-02T14:32:49Z","timestamp":1372775569000},"page":"1-12","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":58,"title":["Blue noise sampling with controlled aliasing"],"prefix":"10.1145","volume":"32","author":[{"given":"Daniel","family":"Heck","sequence":"first","affiliation":[{"name":"University of Konstanz, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Schl\u00f6mer","sequence":"additional","affiliation":[{"name":"University of Konstanz, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Oliver","family":"Deussen","sequence":"additional","affiliation":[{"name":"University of Konstanz, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2013,7,4]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531392"},{"key":"e_1_2_2_2_1","volume-title":"The Fourier Transform and its Applications","author":"Bracewell R. 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