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Graph."],"published-print":{"date-parts":[[2014,7,27]]},"abstract":"<jats:p>\n            With better and faster acquisition devices comes a demand for fast robust reconstruction algorithms, but no\n            <jats:italic>L<\/jats:italic>\n            <jats:sub>1<\/jats:sub>\n            -based technique has been fast enough for online use so far. In this paper, we present a novel continuous formulation of the weighted locally optimal projection (WLOP) operator based on a Gaussian mixture describing the input point density. Our method is up to 7 times faster than an optimized GPU implementation of WLOP, and achieves interactive frame rates for moderately sized point clouds. We give a comprehensive quality analysis showing that our continuous operator achieves a generally higher reconstruction quality than its discrete counterpart. Additionally, we show how to apply our continuous formulation to spherical mixtures of normal directions, to also achieve a fast robust normal reconstruction.\n          <\/jats:p>","DOI":"10.1145\/2601097.2601172","type":"journal-article","created":{"date-parts":[[2014,7,22]],"date-time":"2014-07-22T15:08:20Z","timestamp":1406041700000},"page":"1-13","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":121,"title":["Continuous projection for fast\n            <i>L<\/i>\n            <sub>1<\/sub>\n            reconstruction"],"prefix":"10.1145","volume":"33","author":[{"given":"Reinhold","family":"Preiner","sequence":"first","affiliation":[{"name":"Vienna University of Technology"}]},{"given":"Oliver","family":"Mattausch","sequence":"additional","affiliation":[{"name":"University of Zurich"}]},{"given":"Murat","family":"Arikan","sequence":"additional","affiliation":[{"name":"Vienna University of Technology"}]},{"given":"Renato","family":"Pajarola","sequence":"additional","affiliation":[{"name":"University of Zurich"}]},{"given":"Michael","family":"Wimmer","sequence":"additional","affiliation":[{"name":"Vienna University of Technology"}]}],"member":"320","published-online":{"date-parts":[[2014,7,27]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2003.1175093"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/1015706.1015713"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1857907.1857911"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.5555\/1046920.1088718"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/2451236.2451246"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2012.03181.x"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1276377.1276404"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/383259.383266"},{"key":"e_1_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.2517-6161.1977.tb01600.x"},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/11944836_5"},{"key":"e_1_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073227"},{"key":"e_1_2_2_12_1","volume-title":"IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP).","author":"Garcia V.","unstructured":"Garcia , V. , Nielsen , F. , and Nock , R . 2010. 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