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Graph."],"published-print":{"date-parts":[[2015,3,2]]},"abstract":"<jats:p>We demonstrate that the redundant information in light field imagery allows volumetric focus, an improvement of signal quality that maintains focus over a controllable range of depths. To do this, we derive the frequency-domain region of support of the light field, finding it to be the 4D hyperfan at the intersection of a dual fan and a hypercone, and design a filter with correspondingly shaped passband. Drawing examples from the Stanford Light Field Archive and images captured using a commercially available lenslet-based plenoptic camera, we demonstrate that the hyperfan outperforms competing methods including planar focus, fan-shaped antialiasing, and nonlinear image and video denoising techniques. We show the hyperfan preserves depth of field, making it a single-step all-in-focus denoising filter suitable for general-purpose light field rendering. We include results for different noise types and levels, through murky water and particulate matter, in real-world scenarios, and evaluated using a variety of metrics. We show that the hyperfan's performance scales with aperture count, and demonstrate the inclusion of aliased components for high-quality rendering.<\/jats:p>","DOI":"10.1145\/2665074","type":"journal-article","created":{"date-parts":[[2015,3,3]],"date-time":"2015-03-03T14:08:19Z","timestamp":1425391699000},"page":"1-20","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":132,"title":["Linear Volumetric Focus for Light Field Cameras"],"prefix":"10.1145","volume":"34","author":[{"given":"Donald G.","family":"Dansereau","sequence":"first","affiliation":[{"name":"University of Sydney, NSW, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Oscar","family":"Pizarro","sequence":"additional","affiliation":[{"name":"University of Sydney, NSW, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefan B.","family":"Williams","sequence":"additional","affiliation":[{"name":"University of Sydney, NSW, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2015,3,2]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1109\/34.121783"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531401"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2006.881199"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1987.1086224"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.905883"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2011.168"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00422-006-0097-1"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00128525"},{"key":"e_1_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1137\/040616024"},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1109\/79.581378"},{"key":"e_1_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/344779.344932"},{"key":"e_1_2_2_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICIP.2000.899215"},{"key":"e_1_2_2_13_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2012.2216538"},{"key":"e_1_2_2_14_1","volume-title":"Proceedings of the 15th European Signal Processing Conference (EURIPCO'07)","author":"Dabov K.","unstructured":"K. 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