{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T17:34:58Z","timestamp":1778348098964,"version":"3.51.4"},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319464831","type":"print"},{"value":"9783319464848","type":"electronic"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-46484-8_7","type":"book-chapter","created":{"date-parts":[[2016,9,16]],"date-time":"2016-09-16T08:35:32Z","timestamp":1474014932000},"page":"109-125","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":54,"title":["Linear Depth Estimation from an Uncalibrated, Monocular Polarisation Image"],"prefix":"10.1007","author":[{"given":"William A. P.","family":"Smith","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ravi","family":"Ramamoorthi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Silvia","family":"Tozza","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,9,17]]},"reference":[{"issue":"7","key":"7_CR1","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1109\/34.85655","volume":"13","author":"LB Wolff","year":"1991","unstructured":"Wolff, L.B., Boult, T.E.: Constraining object features using a polarization reflectance model. IEEE Trans. Pattern Anal. Mach. Intell. 13(7), 635\u2013657 (1991)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"7_CR2","doi-asserted-by":"crossref","unstructured":"Miyazaki, D., Tan, R.T., Hara, K., Ikeuchi, K.: Polarization-based inverse rendering from a single view. In: Proceedings of ICCV, pp. 982\u2013987 (2003)","DOI":"10.1109\/ICCV.2003.1238455"},{"key":"7_CR3","doi-asserted-by":"crossref","unstructured":"Kadambi, A., Taamazyan, V., Shi, B., Raskar, R.: Polarized 3D: high-quality depth sensing with polarization cues. In: Proceedings of ICCV (2015)","DOI":"10.1109\/ICCV.2015.385"},{"issue":"1","key":"7_CR4","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1023\/A:1008154927611","volume":"35","author":"PN Belhumeur","year":"1999","unstructured":"Belhumeur, P.N., Kriegman, D.J., Yuille, A.: The Bas-relief ambiguity. Int. J. Comput. Vis. 35(1), 33\u201344 (1999)","journal-title":"Int. J. Comput. Vis."},{"key":"7_CR5","doi-asserted-by":"crossref","unstructured":"Schechner, Y.Y.: Self-calibrating imaging polarimetry. In: Proceedings of ICCP (2015)","DOI":"10.1109\/ICCPHOT.2015.7168374"},{"issue":"2","key":"7_CR6","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/S0262-8856(96)01123-7","volume":"15","author":"LB Wolff","year":"1997","unstructured":"Wolff, L.B.: Polarization vision: a new sensory approach to image understanding. Image Vision Comput. 15(2), 81\u201393 (1997)","journal-title":"Image Vision Comput."},{"issue":"6","key":"7_CR7","doi-asserted-by":"publisher","first-page":"1653","DOI":"10.1109\/TIP.2006.871114","volume":"15","author":"GA Atkinson","year":"2006","unstructured":"Atkinson, G.A., Hancock, E.R.: Recovery of surface orientation from diffuse polarization. IEEE Trans. Image Process. 15(6), 1653\u20131664 (2006)","journal-title":"IEEE Trans. Image Process."},{"key":"7_CR8","doi-asserted-by":"crossref","unstructured":"Morel, O., Meriaudeau, F., Stolz, C., Gorria, P.: Polarization imaging applied to 3D reconstruction of specular metallic surfaces. In: Proceedings of EI 2005, pp. 178\u2013186 (2005)","DOI":"10.1117\/12.586815"},{"key":"7_CR9","doi-asserted-by":"crossref","unstructured":"Huynh, C.P., Robles-Kelly, A., Hancock, E.: Shape and refractive index recovery from single-view polarisation images. In: Proceedings of CVPR, pp. 1229\u20131236 (2010)","DOI":"10.1109\/CVPR.2010.5539828"},{"key":"7_CR10","doi-asserted-by":"crossref","unstructured":"Mahmoud, A.H., El-Melegy, M.T., Farag, A.A.: Direct method for shape recovery from polarization and shading. In: Proceedings of ICIP, pp. 1769\u20131772 (2012)","DOI":"10.1109\/ICIP.2012.6467223"},{"key":"7_CR11","unstructured":"Rahmann, S., Canterakis, N.: Reconstruction of specular surfaces using polarization imaging. In: Proceedings of CVPR (2001)"},{"issue":"11","key":"7_CR12","doi-asserted-by":"publisher","first-page":"2001","DOI":"10.1109\/TPAMI.2007.1099","volume":"29","author":"GA Atkinson","year":"2007","unstructured":"Atkinson, G.A., Hancock, E.R.: Shape estimation using polarization and shading from two views. IEEE Trans. Pattern Anal. Mach. Intell. 29(11), 2001\u20132017 (2007)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"1","key":"7_CR13","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1007\/s11263-012-0546-3","volume":"101","author":"CP Huynh","year":"2013","unstructured":"Huynh, C.P., Robles-Kelly, A., Hancock, E.R.: Shape and refractive index from single-view spectro-polarimetric images. Int. J. Comput. Vis. 101(1), 64\u201394 (2013)","journal-title":"Int. J. Comput. Vis."},{"key":"7_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"466","DOI":"10.1007\/978-3-540-74272-2_58","volume-title":"Computer Analysis of Images and Patterns","author":"GA Atkinson","year":"2007","unstructured":"Atkinson, G.A., Hancock, E.R.: Surface reconstruction using polarization and photometric stereo. In: Kropatsch, W.G., Kampel, M., Hanbury, A. (eds.) CAIP 2007. LNCS, vol. 4673, pp. 466\u2013473. Springer, Heidelberg (2007). doi: 10.1007\/978-3-540-74272-2_58"},{"key":"7_CR15","doi-asserted-by":"crossref","unstructured":"Drbohlav, O., \u0160\u00e1ra, R.: Unambiguous determination of shape from photometric stereo with unknown light sources. In: Proceedings of ICCV, pp. 581\u2013586 (2001)","DOI":"10.1109\/ICCV.2001.937570"},{"key":"7_CR16","doi-asserted-by":"crossref","unstructured":"Ngo, T.T., Nagahara, H., Taniguchi, R.: Shape and light directions from shading and polarization. In: Proceedings of CVPR, pp. 2310\u20132318 (2015)","DOI":"10.1109\/CVPR.2015.7298844"},{"issue":"1","key":"7_CR17","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/s10851-016-0633-0","volume":"56","author":"S Tozza","year":"2016","unstructured":"Tozza, S., Mecca, R., Duocastella, M., Bue Del, A.: Direct differential photometric stereo shape recovery of diffuse and specular surfaces. JMIV 56(1), 57\u201376 (2016)","journal-title":"JMIV"},{"key":"7_CR18","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1007\/978-1-4471-4652-0","volume-title":"Imaging Spectroscopy for Scene Analysis","author":"A Robles-Kelly","year":"2013","unstructured":"Robles-Kelly, A., Huynh, C.P.: Imaging Spectroscopy for Scene Analysis, p. 219. Springer, London (2013)"},{"key":"7_CR19","first-page":"74","volume-title":"Structural Mechanics","author":"A Carpinteri","year":"1997","unstructured":"Carpinteri, A.: Structural Mechanics, p. 74. Taylor and Francis, London (1997)"},{"key":"7_CR20","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/0-387-30528-9_7","volume-title":"Global Optimization: From Theory to Implementation","author":"M Grant","year":"2006","unstructured":"Grant, M., Boyd, S., Ye, Y.: Disciplined convex programming. In: Liberti, L., Maculan, N. (eds.) Global Optimization: From Theory to Implementation, pp. 155\u2013210. Springer, New York (2006)"},{"issue":"10","key":"7_CR21","doi-asserted-by":"publisher","first-page":"2448","DOI":"10.1364\/JOSAA.18.002448","volume":"18","author":"R Ramamoorthi","year":"2001","unstructured":"Ramamoorthi, R., Hanrahan, P.: On the relationship between radiance and irradiance: determining the illumination from images of a convex Lambertian object. JOSA A 18(10), 2448\u20132459 (2001)","journal-title":"JOSA A"},{"issue":"2","key":"7_CR22","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1109\/TPAMI.2003.1177153","volume":"25","author":"R Basri","year":"2003","unstructured":"Basri, R., Jacobs, D.W.: Lambertian reflectance and linear subspaces. IEEE Trans. Pattern Anal. Mach. Intell. 25(2), 218\u2013233 (2003)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"3","key":"7_CR23","doi-asserted-by":"publisher","first-page":"536","DOI":"10.1145\/1073204.1073226","volume":"24","author":"D Nehab","year":"2005","unstructured":"Nehab, D., Rusinkiewicz, S., Davis, J., Ramamoorthi, R.: Efficiently combining positions and normals for precise 3D geometry. ACM Trans. Graph. 24(3), 536\u2013543 (2005)","journal-title":"ACM Trans. Graph."},{"issue":"6","key":"7_CR24","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/2816795.2818085","volume":"34","author":"JB Nielsen","year":"2015","unstructured":"Nielsen, J.B., Jensen, H.W., Ramamoorthi, R.: On optimal, minimal BRDF sampling for reflectance acquisition. ACM Trans. Graph. 34(6), 1\u201311 (2015)","journal-title":"ACM Trans. Graph."},{"key":"7_CR25","unstructured":"http:\/\/www.fluxdata.com\/imaging-polarimeters"},{"key":"7_CR26","unstructured":"https:\/\/www.ricoh.com\/technology\/tech\/051_polarization.html"}],"container-title":["Lecture Notes in Computer Science","Computer Vision \u2013 ECCV 2016"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-46484-8_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,10]],"date-time":"2025-06-10T19:14:09Z","timestamp":1749582849000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-46484-8_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319464831","9783319464848"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-46484-8_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016]]},"assertion":[{"value":"17 September 2016","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ECCV","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"European Conference on Computer Vision","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Amsterdam","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"The Netherlands","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2016","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8 October 2016","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16 October 2016","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"eccv2016","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.eccv2016.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}