{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T19:04:58Z","timestamp":1768071898301,"version":"3.49.0"},"reference-count":56,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2020,4,21]],"date-time":"2020-04-21T00:00:00Z","timestamp":1587427200000},"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":[[2020,6,30]]},"abstract":"<jats:p>Light field cameras provide intriguing possibilities, such as post-capture refocus or the ability to synthesize images from novel viewpoints. This comes, however, at the price of significant storage requirements. Compression techniques can be used to reduce these, but refocusing and reconstruction require so far, again, a dense pixel representation. To avoid this, we introduce local Fourier slice photography that allows for refocused image reconstruction directly from a sparse wavelet representation of a light field, either to obtain an image or a compressed representation of it. The result is made possible by wavelets that respect the \u201cslicing\u2019s\u201d intrinsic structure and enable us to derive exact reconstruction filters for the refocused image in closed-form. Image reconstruction then amounts to applying these filters to the light field\u2019s wavelet coefficients; hence, no reconstruction of a dense pixel representation is required. We demonstrate that this can reduce storage requirements and also computation times. We furthermore analyze the computational complexity of our algorithm and show that it scales linearly with the size of the reconstructed region and the non-negligible wavelet coefficients, i.e., with the visual complexity.<\/jats:p>","DOI":"10.1145\/3339307","type":"journal-article","created":{"date-parts":[[2020,5,4]],"date-time":"2020-05-04T09:51:07Z","timestamp":1588585867000},"page":"1-16","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["Local Fourier Slice Photography"],"prefix":"10.1145","volume":"39","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2740-6815","authenticated-orcid":false,"given":"Christian","family":"Lessig","sequence":"first","affiliation":[{"name":"Institute for Simulation and Graphics, Otto-von-Guericke-Universit\u00e4t Magdeburg, Germany"}]}],"member":"320","published-online":{"date-parts":[[2020,4,21]]},"reference":[{"key":"e_1_2_1_1_1","volume-title":"2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings","volume":"2","author":"Aggoun A.","year":"2006"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11760-007-0044-1"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICIP.2018.8451583"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/2487228.2487239"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.10116"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1999.0444"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2005.02.003"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2005.02.003"},{"key":"e_1_2_1_9_1","volume-title":"Proceedings of the 27th Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH\u201900)","author":"Chai J.-X."},{"key":"e_1_2_1_10_1","doi-asserted-by":"crossref","unstructured":"C. Conti P. T. Kovacs T. Balogh P. Nunes and L. D. Soares. 2014. Light-field video coding using geometry-based disparity compensation. In 2014 3DTV-Conference: The True Vision\u2014Capture Transmission and Display of 3D Video (3DTV-CON). IEEE 1--4. DOI:https:\/\/doi.org\/10.1109\/3DTV.2014.6874724  C. Conti P. T. Kovacs T. Balogh P. Nunes and L. D. Soares. 2014. Light-field video coding using geometry-based disparity compensation. In 2014 3DTV-Conference: The True Vision\u2014Capture Transmission and Display of 3D Video (3DTV-CON). IEEE 1--4. DOI:https:\/\/doi.org\/10.1109\/3DTV.2014.6874724","DOI":"10.1109\/3DTV.2014.6874724"},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICIP.2015.7351705"},{"key":"e_1_2_1_12_1","doi-asserted-by":"crossref","volume-title":"Ten Lectures on Wavelets","author":"Daubechies I.","DOI":"10.1137\/1.9781611970104"},{"key":"e_1_2_1_13_1","volume-title":"Proceedings of the International Congress of Mathematicians","author":"DeVore R. A.","year":"2006"},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1145\/2508363.2508376"},{"key":"e_1_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141098344403"},{"key":"e_1_2_1_16_1","volume-title":"ACM Transactions on Graphics (Proceedings of SIGGRAPH 2005)","author":"Durand F.","year":"2005"},{"key":"e_1_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1109\/34.93808"},{"key":"e_1_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1145\/3072959.3073670"},{"key":"e_1_2_1_19_1","volume-title":"SIGGRAPH\u201996: Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques. ACM","author":"Gortler S. J."},{"key":"e_1_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2016.2582220"},{"key":"e_1_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/2980179.2980251"},{"key":"e_1_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1145\/3072959.3073617"},{"key":"e_1_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2012.6288140"},{"key":"e_1_2_1_24_1","volume-title":"ACM SIGGRAPH 2011 Papers on\u2014SIGGRAPH\u201911","volume":"30","author":"Lehtinen J.","year":"1964"},{"key":"e_1_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.26.029769"},{"key":"e_1_2_1_27_1","doi-asserted-by":"crossref","unstructured":"A. Levin W. T. Freeman and F. Durand. 2008. Understanding camera trade-offs through a Bayesian analysis of light field projections. In Computer Vision \u00e2 ECCV 2008. Springer Berlin Germany 88--101. DOI:https:\/\/doi.org\/10.1007\/978-3-540-88693-8_7  A. Levin W. T. Freeman and F. Durand. 2008. Understanding camera trade-offs through a Bayesian analysis of light field projections. In Computer Vision \u00e2 ECCV 2008. Springer Berlin Germany 88--101. DOI:https:\/\/doi.org\/10.1007\/978-3-540-88693-8_7","DOI":"10.1007\/978-3-540-88693-8_7"},{"key":"e_1_2_1_28_1","volume-title":"SIGGRAPH\u201996: Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques. ACM","author":"Levoy M."},{"key":"e_1_2_1_29_1","volume-title":"ACM Trans. Graph. (Proceedings of ACM SIGGRAPH 2006","volume":"25","author":"Levoy M.","year":"1976"},{"key":"e_1_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1145\/2665075"},{"key":"e_1_2_1_31_1","volume-title":"A Wavelet Tour of Signal Processing: The Sparse Way","author":"Mallat S. G.","edition":"3"},{"key":"e_1_2_1_32_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073256"},{"key":"e_1_2_1_33_1","unstructured":"R. Ng M. Levoy M. Br\u00e9dif G. Duval M. Horowitz and P. Hanrahan. 2005. Light Field Photography with a Hand-Held Plenoptic Camera. Technical report Stanford University.  R. Ng M. Levoy M. Br\u00e9dif G. Duval M. Horowitz and P. Hanrahan. 2005. Light Field Photography with a Hand-Held Plenoptic Camera. Technical report Stanford University."},{"key":"e_1_2_1_34_1","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.1991.139691"},{"key":"e_1_2_1_35_1","unstructured":"M. Pharr and G. Humphreys. 2010. Physically Based Rendering: From Theory to Implementation (2nd ed.). Morgan Kaufmann Publishers Inc. San Francisco CA.  M. Pharr and G. Humphreys. 2010. Physically Based Rendering: From Theory to Implementation (2nd ed.). Morgan Kaufmann Publishers Inc. San Francisco CA."},{"key":"e_1_2_1_36_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1026553619983"},{"key":"e_1_2_1_37_1","doi-asserted-by":"publisher","DOI":"10.1137\/0524069"},{"key":"e_1_2_1_38_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2004.11.055"},{"key":"e_1_2_1_39_1","doi-asserted-by":"crossref","unstructured":"P. Sen S. Darabi and L. Xiao. 2011. Compressive rendering of multidimensional scenes. Springer Berlin Germany 152--183. DOI:https:\/\/doi.org\/10.1007\/978-3-642-24870-2_7  P. Sen S. Darabi and L. Xiao. 2011. Compressive rendering of multidimensional scenes. Springer Berlin Germany 152--183. DOI:https:\/\/doi.org\/10.1007\/978-3-642-24870-2_7","DOI":"10.1007\/978-3-642-24870-2_7"},{"key":"e_1_2_1_40_1","doi-asserted-by":"publisher","DOI":"10.1145\/2682631"},{"key":"e_1_2_1_41_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICIP.1995.537667"},{"key":"e_1_2_1_42_1","doi-asserted-by":"publisher","DOI":"10.1145\/1516522.1516529"},{"key":"e_1_2_1_43_1","volume-title":"Multiscale, Nonlinear and Adaptive Approximation","author":"Stevenson R."},{"key":"e_1_2_1_44_1","doi-asserted-by":"publisher","DOI":"10.1137\/120866014"},{"key":"e_1_2_1_45_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2011.2138147"},{"key":"e_1_2_1_46_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2009.2038832"},{"key":"e_1_2_1_47_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2017.2653101"},{"key":"e_1_2_1_48_1","doi-asserted-by":"publisher","DOI":"10.1145\/2508363.2508390"},{"key":"e_1_2_1_49_1","doi-asserted-by":"publisher","DOI":"10.1109\/IPTA.2015.7367195"},{"key":"e_1_2_1_50_1","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2017.2740167"},{"key":"e_1_2_1_51_1","doi-asserted-by":"publisher","DOI":"10.1145\/2461912.2461966"},{"key":"e_1_2_1_52_1","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2015.2448233"},{"key":"e_1_2_1_53_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2013.03.006"},{"key":"e_1_2_1_54_1","volume-title":"ACM Trans. Graph. (Proceedings of ACM SIGGRAPH 2005)","author":"Wilburn B.","year":"2005"},{"key":"e_1_2_1_55_1","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2017.2747126"},{"key":"e_1_2_1_56_1","doi-asserted-by":"publisher","DOI":"10.1145\/3197517.3201313"},{"key":"e_1_2_1_57_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICCVW.2015.17"}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3339307","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3339307","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T23:54:29Z","timestamp":1750204469000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3339307"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,21]]},"references-count":56,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,6,30]]}},"alternative-id":["10.1145\/3339307"],"URL":"https:\/\/doi.org\/10.1145\/3339307","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"value":"0730-0301","type":"print"},{"value":"1557-7368","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,4,21]]},"assertion":[{"value":"2019-02-01","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-02-01","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-04-21","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}