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Graph."],"published-print":{"date-parts":[[2010,7,26]]},"abstract":"<jats:p>In recent years, several cameras have been introduced which extend depth of field (DOF) by producing a depth-invariant point spread function (PSF). These cameras extend DOF by deblurring a captured image with a single spatially-invariant PSF. For these cameras, the quality of recovered images depends both on the magnitude of the PSF spectrum (MTF) of the camera, and the similarity between PSFs at different depths. While researchers have compared the MTFs of different extended DOF cameras, relatively little attention has been paid to evaluating their depth invariances. In this paper, we compare the depth invariance of several cameras, and introduce a new camera that improves in this regard over existing designs, while still maintaining a good MTF.<\/jats:p>\n          <jats:p>\n            Our technique utilizes a novel optical element placed in the pupil plane of an imaging system. Whereas previous approaches use optical elements characterized by their amplitude or phase profile, our approach utilizes one whose behavior is characterized by its scattering properties. Such an element is commonly referred to as an optical diffuser, and thus we refer to our new approach as\n            <jats:italic>diffusion coding<\/jats:italic>\n            . We show that diffusion coding can be analyzed in a simple and intuitive way by modeling the effect of a diffuser as a kernel in light field space. We provide detailed analysis of diffusion coded cameras and show results from an implementation using a custom designed diffuser.\n          <\/jats:p>","DOI":"10.1145\/1778765.1778768","type":"journal-article","created":{"date-parts":[[2010,7,15]],"date-time":"2010-07-15T12:48:46Z","timestamp":1279198126000},"page":"1-10","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":43,"title":["Diffusion coded photography for extended depth of field"],"prefix":"10.1145","volume":"29","author":[{"given":"Oliver","family":"Cossairt","sequence":"first","affiliation":[{"name":"Columbia University"}]},{"given":"Changyin","family":"Zhou","sequence":"additional","affiliation":[{"name":"Columbia University"}]},{"given":"Shree","family":"Nayar","sequence":"additional","affiliation":[{"name":"Columbia University"}]}],"member":"320","published-online":{"date-parts":[[2010,7,26]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.11.002153"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1364\/AO.46.002256"},{"volume-title":"Transfer Efficiency and Depth Invariance in Computational Cameras. In to appear in Proc. ICCP","author":"Baek J.","key":"e_1_2_2_3_1","unstructured":"Baek , J. 2010. Transfer Efficiency and Depth Invariance in Computational Cameras. In to appear in Proc. ICCP . Baek, J. 2010. Transfer Efficiency and Depth Invariance in Computational Cameras. In to appear in Proc. ICCP."},{"key":"e_1_2_2_4_1","volume-title":"Kinoform Diffusers. In SPIE Conference Series","volume":"25","author":"Caulfield H. J.","year":"1971","unstructured":"Caulfield , H. J. 1971 . Kinoform Diffusers. In SPIE Conference Series , vol. 25 , 111. Caulfield, H. J. 1971. Kinoform Diffusers. In SPIE Conference Series, vol. 25, 111."},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.26.000875"},{"key":"e_1_2_2_6_1","volume-title":"SPIE Conference Series","volume":"6812","author":"Dabov K.","unstructured":"Dabov , K. , Foi , A. , Katkovnik , V. , and Egiazarian , K . 2008. Image restoration by sparse 3D transform-domain collaborative filtering . In SPIE Conference Series , vol. 6812 , 681207. Dabov, K., Foi, A., Katkovnik, V., and Egiazarian, K. 2008. Image restoration by sparse 3D transform-domain collaborative filtering. In SPIE Conference Series, vol. 6812, 681207."},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1364\/AO.34.001859"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/1186822.1073320"},{"key":"e_1_2_2_9_1","unstructured":"Freeman W. Fergus R. Torralba A. and Freeman W. 2006. Random Lens Imaging. MIT CSAIL.  Freeman W. Fergus R. Torralba A. and Freeman W. 2006. Random Lens Imaging. MIT CSAIL ."},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1364\/OE.15.000910"},{"key":"e_1_2_2_11_1","series-title":"Wiley series in pure and applied optics","volume-title":"Statistical optics","author":"Goodman J. W.","unstructured":"Goodman , J. W. 1985. Statistical optics . Wiley series in pure and applied optics . Goodman, J. W. 1985. Statistical optics. Wiley series in pure and applied optics."},{"volume-title":"Proc. ICCV, 1--8.","author":"Hasinoff S.","key":"e_1_2_2_12_1","unstructured":"Hasinoff , S. , Kutulakos , K. , Durand , F. , and Freeman , W . 2009. Time-constrained photography . In Proc. ICCV, 1--8. Hasinoff, S., Kutulakos, K., Durand, F., and Freeman, W. 2009. Time-constrained photography. In Proc. ICCV, 1--8."},{"key":"e_1_2_2_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/0030-4018(72)90243-X"},{"key":"e_1_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1145\/1275808.1276464"},{"key":"e_1_2_2_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/1576246.1531403"},{"key":"e_1_2_2_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/237170.237199"},{"key":"e_1_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-88693-8_5"},{"key":"e_1_2_2_18_1","doi-asserted-by":"publisher","DOI":"10.1145\/1186822.1073256"},{"key":"e_1_2_2_19_1","doi-asserted-by":"publisher","DOI":"10.1364\/OL.30.001647"},{"key":"e_1_2_2_20_1","doi-asserted-by":"publisher","DOI":"10.1117\/1.1618817"},{"key":"e_1_2_2_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/1275808.1276463"},{"volume-title":"ICCP '09","author":"Zhou C.","key":"e_1_2_2_22_1","unstructured":"Zhou , C. , and Nayar , S . 2009. What are Good Apertures for Defocus Deblurring? In ICCP '09 . Zhou, C., and Nayar, S. 2009. What are Good Apertures for Defocus Deblurring? In ICCP '09."}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1778765.1778768","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1778765.1778768","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T20:25:52Z","timestamp":1750278352000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1778765.1778768"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,7,26]]},"references-count":22,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2010,7,26]]}},"alternative-id":["10.1145\/1778765.1778768"],"URL":"https:\/\/doi.org\/10.1145\/1778765.1778768","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"type":"print","value":"0730-0301"},{"type":"electronic","value":"1557-7368"}],"subject":[],"published":{"date-parts":[[2010,7,26]]},"assertion":[{"value":"2010-07-26","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}