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2020 | OriginalPaper | Buchkapitel

1. A Comprehensive Introduction to Photometric 3D-Reconstruction

verfasst von : Jean-Denis Durou, Maurizio Falcone, Yvain Quéau, Silvia Tozza

Erschienen in: Advances in Photometric 3D-Reconstruction

Verlag: Springer International Publishing

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Abstract

Photometric 3D-reconstruction techniques aim at inferring the geometry of a scene from one or several images, by inverting a physical model describing the image formation. This chapter presents an introductory overview of the main photometric 3D-reconstruction techniques which are shape-from-shading, photometric stereo and shape-from-polarisation.

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Literatur
1.
Zurück zum Zitat Adelson EH, Pentland AP (1996) The perception of shading and reflectance. In: Perception as Bayesian inference. Cambridge University Press, Cambridge, pp 409–423 Adelson EH, Pentland AP (1996) The perception of shading and reflectance. In: Perception as Bayesian inference. Cambridge University Press, Cambridge, pp 409–423
3.
Zurück zum Zitat Atkinson GA, Hancock ER (2005) Multi-view surface reconstruction using polarization. In: Proceedings of the IEEE international conference on computer vision 1:309–316 Atkinson GA, Hancock ER (2005) Multi-view surface reconstruction using polarization. In: Proceedings of the IEEE international conference on computer vision 1:309–316
4.
Zurück zum Zitat Atkinson GA, Hancock ER (2006) Recovery of surface orientation from diffuse polarization. IEEE Trans Image Process 15(6):1653–1664 Atkinson GA, Hancock ER (2006) Recovery of surface orientation from diffuse polarization. IEEE Trans Image Process 15(6):1653–1664
5.
Zurück zum Zitat Atkinson GA, Hancock ER (2007) Shape estimation using polarization and shading from two views. IEEE Trans Pattern Anal Mach Intell 29(11):2001–2017 Atkinson GA, Hancock ER (2007) Shape estimation using polarization and shading from two views. IEEE Trans Pattern Anal Mach Intell 29(11):2001–2017
6.
Zurück zum Zitat Atkinson GA, Hancock ER (2007) Surface reconstruction using polarization and photometric stereo. In: Proceedings of the international conference on computer analysis of images and patterns, pp 466–473 Atkinson GA, Hancock ER (2007) Surface reconstruction using polarization and photometric stereo. In: Proceedings of the international conference on computer analysis of images and patterns, pp 466–473
7.
Zurück zum Zitat Bähr M, Breuß M, Quéau Y, Boroujerdi AS, Durou J-D (2017) Fast and accurate surface normal integration on non-rectangular domains. Comput Vis Media 3(2):107–129 Bähr M, Breuß M, Quéau Y, Boroujerdi AS, Durou J-D (2017) Fast and accurate surface normal integration on non-rectangular domains. Comput Vis Media 3(2):107–129
8.
Zurück zum Zitat Barles G (1994) Solutions de viscosité des équations de Hamilton-Jacobi. Mathématiques et Applications, vol 17. Springer, Berlin Barles G (1994) Solutions de viscosité des équations de Hamilton-Jacobi. Mathématiques et Applications, vol 17. Springer, Berlin
9.
Zurück zum Zitat Barron JT, Malik J (2015) Shape, illumination, and reflectance from shading. IEEE Trans Pattern Anal Mach Intell 37(8):1670–1687 Barron JT, Malik J (2015) Shape, illumination, and reflectance from shading. IEEE Trans Pattern Anal Mach Intell 37(8):1670–1687
10.
Zurück zum Zitat Bartoli A, Gérard Y, Chadebecq F, Collins T, Pizarro D (2015) Shape-from-template. IEEE Trans Pattern Anal Mach Intell 37(10):2099–2118 Bartoli A, Gérard Y, Chadebecq F, Collins T, Pizarro D (2015) Shape-from-template. IEEE Trans Pattern Anal Mach Intell 37(10):2099–2118
11.
Zurück zum Zitat Basri R, Jacobs D, Kemelmacher I (2007) Photometric stereo with general, unknown lighting. Int J Comput Vis 72(3):239–257 Basri R, Jacobs D, Kemelmacher I (2007) Photometric stereo with general, unknown lighting. Int J Comput Vis 72(3):239–257
12.
Zurück zum Zitat Belhumeur PN, Kriegman DJ, Yuille AL (1999) The Bas-relief ambiguity. Int J Comput Vis 35(1):33–44 Belhumeur PN, Kriegman DJ, Yuille AL (1999) The Bas-relief ambiguity. Int J Comput Vis 35(1):33–44
13.
Zurück zum Zitat Berger K, Voorhies R, Matthies L (2016) Incorporating polarization in stereo vision-based 3D perception of non-Lambertian scenes. In: Unmanned systems technology XVIII. Proceedings of the SPIE, vol 9837, p. 98370P Berger K, Voorhies R, Matthies L (2016) Incorporating polarization in stereo vision-based 3D perception of non-Lambertian scenes. In: Unmanned systems technology XVIII. Proceedings of the SPIE, vol 9837, p. 98370P
14.
Zurück zum Zitat Berger K, Voorhies R, Matthies LH (2017) Depth from stereo polarization in specular scenes for urban robotics. In: Proceedings of the international conference on robotics and automation, pp 1966–1973 Berger K, Voorhies R, Matthies LH (2017) Depth from stereo polarization in specular scenes for urban robotics. In: Proceedings of the international conference on robotics and automation, pp 1966–1973
15.
Zurück zum Zitat Brady M, Yuille AL (1984) An extremum principle for shape from contour. IEEE Trans Pattern Anal Mach Intell 6(3):288–301MATH Brady M, Yuille AL (1984) An extremum principle for shape from contour. IEEE Trans Pattern Anal Mach Intell 6(3):288–301MATH
16.
Zurück zum Zitat Breuß M, Cristiani E, Durou J-D, Falcone M, Vogel O (2012) Perspective shape from shading: ambiguity analysis and numerical approximations. SIAM J Imaging Sci 5(1):311–342MathSciNetMATH Breuß M, Cristiani E, Durou J-D, Falcone M, Vogel O (2012) Perspective shape from shading: ambiguity analysis and numerical approximations. SIAM J Imaging Sci 5(1):311–342MathSciNetMATH
17.
Zurück zum Zitat Camilli F, Grüne L (2000) Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations. SIAM J Numer Anal 38(5):1540–1560MathSciNetMATH Camilli F, Grüne L (2000) Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations. SIAM J Numer Anal 38(5):1540–1560MathSciNetMATH
18.
Zurück zum Zitat Camilli F, Tozza S (2017) A unified approach to the well-posedness of some non-Lambertian models in shape-from-shading theory. SIAM J Imaging Sci 10(1):26–46MathSciNetMATH Camilli F, Tozza S (2017) A unified approach to the well-posedness of some non-Lambertian models in shape-from-shading theory. SIAM J Imaging Sci 10(1):26–46MathSciNetMATH
19.
Zurück zum Zitat Chen G, Han K, Shi B, Matsushita Y, Wong K-YK (2019) Self-calibrating deep photometric stereo networks. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 8739–8747 Chen G, Han K, Shi B, Matsushita Y, Wong K-YK (2019) Self-calibrating deep photometric stereo networks. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 8739–8747
20.
Zurück zum Zitat Chen L, Zheng Y, Subpa-Asa A, Sato I (2018) Polarimetric three-view geometry. In: Proceedings of the European conference on computer vision, pp 20–36 Chen L, Zheng Y, Subpa-Asa A, Sato I (2018) Polarimetric three-view geometry. In: Proceedings of the European conference on computer vision, pp 20–36
21.
Zurück zum Zitat Clark JJ (2010) Photometric stereo using LCD displays. Image Vis Comput 28(4):704–714 Clark JJ (2010) Photometric stereo using LCD displays. Image Vis Comput 28(4):704–714
22.
Zurück zum Zitat Collins T, Bartoli A (2012) 3D-reconstruction in laparoscopy with close-range photometric stereo. In: International conference on medical image computing and computer-assisted intervention. Lecture notes in computer science, vol 7511, pp 634–642 Collins T, Bartoli A (2012) 3D-reconstruction in laparoscopy with close-range photometric stereo. In: International conference on medical image computing and computer-assisted intervention. Lecture notes in computer science, vol 7511, pp 634–642
23.
Zurück zum Zitat Courteille F, Durou J-D, Morin G (2006) A global solution to the SFS problem using B-spline surface and simulated annealing. In: Proceedings of the international conference on pattern recognition (volume II), pp 332–335 Courteille F, Durou J-D, Morin G (2006) A global solution to the SFS problem using B-spline surface and simulated annealing. In: Proceedings of the international conference on pattern recognition (volume II), pp 332–335
24.
Zurück zum Zitat Crandall MG, Lions P-L (1983) Viscosity solutions of Hamilton-Jacobi equations. Trans Am Math Soc 277(1):1–42MathSciNetMATH Crandall MG, Lions P-L (1983) Viscosity solutions of Hamilton-Jacobi equations. Trans Am Math Soc 277(1):1–42MathSciNetMATH
26.
Zurück zum Zitat Cristiani E, Falcone M (2007) Fast semi-Lagrangian schemes for the eikonal equation and applications. SIAM J Numer Anal 45(5):1979–2011MathSciNetMATH Cristiani E, Falcone M (2007) Fast semi-Lagrangian schemes for the eikonal equation and applications. SIAM J Numer Anal 45(5):1979–2011MathSciNetMATH
27.
Zurück zum Zitat Crouzil A, Descombes X, Durou J-D (2003) A multiresolution approach for shape from shading coupling deterministic and stochastic optimization. IEEE Trans Pattern Anal Mach Intell 25(11):1416–1421 Crouzil A, Descombes X, Durou J-D (2003) A multiresolution approach for shape from shading coupling deterministic and stochastic optimization. IEEE Trans Pattern Anal Mach Intell 25(11):1416–1421
28.
Zurück zum Zitat Cui Z, Gu J, Shi B, Tan P, Kautz J (2017) Polarimetric multi-view stereo. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 1558–1567 Cui Z, Gu J, Shi B, Tan P, Kautz J (2017) Polarimetric multi-view stereo. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 1558–1567
29.
Zurück zum Zitat Daniel P, Durou J-D (2000) From deterministic to stochastic methods for shape from shading. In: Proceedings of the Asian conference on computer vision, pp 187–192 Daniel P, Durou J-D (2000) From deterministic to stochastic methods for shape from shading. In: Proceedings of the Asian conference on computer vision, pp 187–192
30.
Zurück zum Zitat Durou J-D, Maître H (1996) On convergence in the methods of Strat and of Smith for shape from shading. Int J Comput Vis 17(3):273–289 Durou J-D, Maître H (1996) On convergence in the methods of Strat and of Smith for shape from shading. Int J Comput Vis 17(3):273–289
31.
Zurück zum Zitat Durou J-D, Falcone M, Sagona M (2008) Numerical methods for shape-from-shading: a new survey with benchmarks. Comput Vis Image Underst 109(1):22–43 Durou J-D, Falcone M, Sagona M (2008) Numerical methods for shape-from-shading: a new survey with benchmarks. Comput Vis Image Underst 109(1):22–43
32.
Zurück zum Zitat Falcone M, Ferretti R (2014) Semi-Lagrangian approximation schemes for linear and Hamilton-Jacobi equations, 1st edn. Society for Industrial and Applied Mathematics, PhiladelphiaMATH Falcone M, Ferretti R (2014) Semi-Lagrangian approximation schemes for linear and Hamilton-Jacobi equations, 1st edn. Society for Industrial and Applied Mathematics, PhiladelphiaMATH
33.
Zurück zum Zitat Falcone M, Ferretti R (2016) Numerical methods for Hamilton-Jacobi type equations. In: Handbook of numerical methods for hyperbolic problems. Handbook of numerical analysis, vol 17. Elsevier, Amsterdam, pp 603–626 Falcone M, Ferretti R (2016) Numerical methods for Hamilton-Jacobi type equations. In: Handbook of numerical methods for hyperbolic problems. Handbook of numerical analysis, vol 17. Elsevier, Amsterdam, pp 603–626
34.
Zurück zum Zitat Falcone M, Sagona M (1997) An algorithm for the global solution of the shape-from-shading model. In: International conference on image analysis and processing. Lecture notes in computer science, vol 1310, pp 596–603 Falcone M, Sagona M (1997) An algorithm for the global solution of the shape-from-shading model. In: International conference on image analysis and processing. Lecture notes in computer science, vol 1310, pp 596–603
35.
Zurück zum Zitat Falcone M, Sagona M (2003) A scheme for the shape-from-shading model with “black shadows”. In: Numerical mathematics and advanced applications. Springer, Berlin, pp 503–512 Falcone M, Sagona M (2003) A scheme for the shape-from-shading model with “black shadows”. In: Numerical mathematics and advanced applications. Springer, Berlin, pp 503–512
36.
Zurück zum Zitat Festa A, Falcone M (2014) An approximation scheme for an Eikonal equation with discontinuous coefficient. SIAM J Numer Anal 52(1):236–257 Festa A, Falcone M (2014) An approximation scheme for an Eikonal equation with discontinuous coefficient. SIAM J Numer Anal 52(1):236–257
37.
Zurück zum Zitat Frankot RT, Chellappa R (1988) A method for enforcing integrability in shape from shading algorithms. IEEE Trans Pattern Anal Mach Intell 10(4):439–451MATH Frankot RT, Chellappa R (1988) A method for enforcing integrability in shape from shading algorithms. IEEE Trans Pattern Anal Mach Intell 10(4):439–451MATH
38.
Zurück zum Zitat Gallardo M, Collins T, Bartoli A (2017) Dense non-rigid structure-from-motion and shading with unknown albedos. In: Proceedings of the IEEE international conference on computer vision, pp 3884–3892 Gallardo M, Collins T, Bartoli A (2017) Dense non-rigid structure-from-motion and shading with unknown albedos. In: Proceedings of the IEEE international conference on computer vision, pp 3884–3892
39.
Zurück zum Zitat Geng J (2011) Structured-light 3D surface imaging: a tutorial. Adv Opt Photonics 3(2):128–160 Geng J (2011) Structured-light 3D surface imaging: a tutorial. Adv Opt Photonics 3(2):128–160
40.
Zurück zum Zitat Gotardo PFU, Simon T, Sheikh Y, Matthews I (2015) Photogeometric scene flow for high-detail dynamic 3D reconstruction. In: Proceedings of the IEEE international conference on computer vision, pp 846–854 Gotardo PFU, Simon T, Sheikh Y, Matthews I (2015) Photogeometric scene flow for high-detail dynamic 3D reconstruction. In: Proceedings of the IEEE international conference on computer vision, pp 846–854
41.
Zurück zum Zitat Haefner B, Quéau Y, Möllenhoff T, Cremers D (2018) Fight ill-posedness with ill-posedness: single-shot variational depth super-resolution from shading. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 164–174 Haefner B, Quéau Y, Möllenhoff T, Cremers D (2018) Fight ill-posedness with ill-posedness: single-shot variational depth super-resolution from shading. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 164–174
42.
Zurück zum Zitat Haefner B, Ye Z, Gao M, Wu T, Quéau Y, Cremers D (2019) Variational uncalibrated photometric stereo under general lighting. In: Proceedings of the IEEE international conference on computer vision, pp 8539–8548 Haefner B, Ye Z, Gao M, Wu T, Quéau Y, Cremers D (2019) Variational uncalibrated photometric stereo under general lighting. In: Proceedings of the IEEE international conference on computer vision, pp 8539–8548
43.
Zurück zum Zitat Hartley RI, Zisserman A (2004) Multiple view geometry in computer vision, 2nd edn. Cambridge University Press, CambridgeMATH Hartley RI, Zisserman A (2004) Multiple view geometry in computer vision, 2nd edn. Cambridge University Press, CambridgeMATH
44.
Zurück zum Zitat Hernández C (2004) Stereo and silhouette fusion for 3D object modeling from uncalibrated images under circular motion. Thèse de doctorat, École Nationale Supérieure des Télécommunications Hernández C (2004) Stereo and silhouette fusion for 3D object modeling from uncalibrated images under circular motion. Thèse de doctorat, École Nationale Supérieure des Télécommunications
45.
Zurück zum Zitat Herrera SEM, Malti A, Morel O, Bartoli A (2013) Shape-from-polarization in laparoscopy. In: Proceedings of the international symposium on biomedical imaging, pp 1412–1415 Herrera SEM, Malti A, Morel O, Bartoli A (2013) Shape-from-polarization in laparoscopy. In: Proceedings of the international symposium on biomedical imaging, pp 1412–1415
46.
Zurück zum Zitat Hertzmann A, Seitz SM (2005) Example-based photometric stereo: shape reconstruction with general, varying BRDFs. IEEE Trans Pattern Anal Mach Intell 27(8):1254–1264 Hertzmann A, Seitz SM (2005) Example-based photometric stereo: shape reconstruction with general, varying BRDFs. IEEE Trans Pattern Anal Mach Intell 27(8):1254–1264
48.
Zurück zum Zitat Horn BKP (1970) Shape from shading: a method for obtaining the shape of a smooth opaque object from one view. PhD thesis, MIT Horn BKP (1970) Shape from shading: a method for obtaining the shape of a smooth opaque object from one view. PhD thesis, MIT
49.
Zurück zum Zitat Horn BKP, Brooks MJ (1986) The variational approach to shape from shading. Comput Vis Graph Image Process 33(2):174–208MATH Horn BKP, Brooks MJ (1986) The variational approach to shape from shading. Comput Vis Graph Image Process 33(2):174–208MATH
50.
Zurück zum Zitat Huynh CP, Robles-Kelly A, Hancock ER (2010) Shape and refractive index recovery from single-view polarisation images. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 1229–1236 Huynh CP, Robles-Kelly A, Hancock ER (2010) Shape and refractive index recovery from single-view polarisation images. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 1229–1236
51.
Zurück zum Zitat Huynh CP, Robles-Kelly A, Hancock ER (2013) Shape and refractive index from single-view spectro-polarimetric images. Int J Comput Vis 101(1):64–94MathSciNet Huynh CP, Robles-Kelly A, Hancock ER (2013) Shape and refractive index from single-view spectro-polarimetric images. Int J Comput Vis 101(1):64–94MathSciNet
52.
Zurück zum Zitat Ikehata S, Wipf D, Matsushita Y, Aizawa K (2012) Robust photometric stereo using sparse regression. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 318–325 Ikehata S, Wipf D, Matsushita Y, Aizawa K (2012) Robust photometric stereo using sparse regression. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 318–325
53.
Zurück zum Zitat Ikeuchi K, Horn BKP (1981) Numerical shape from shading and occluding boundaries. Artif Intell 17(1–3):141–184 Ikeuchi K, Horn BKP (1981) Numerical shape from shading and occluding boundaries. Artif Intell 17(1–3):141–184
54.
Zurück zum Zitat Jancosek M, Pajdla T (2011) Multi-view reconstruction preserving weakly-supported surfaces. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 3121–3128 Jancosek M, Pajdla T (2011) Multi-view reconstruction preserving weakly-supported surfaces. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 3121–3128
55.
Zurück zum Zitat Johnson MK, Adelson EH (2011) Shape estimation in natural illumination. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 2553–2560 Johnson MK, Adelson EH (2011) Shape estimation in natural illumination. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 2553–2560
56.
Zurück zum Zitat Ju Y-C, Tozza S, Breuß M, Bruhn A, Kleefeld A (2013) Generalised perspective shape from shading with Oren-Nayar reflectance. In: Proceedings of the British machine vision conference, pp 42.1–42.11 Ju Y-C, Tozza S, Breuß M, Bruhn A, Kleefeld A (2013) Generalised perspective shape from shading with Oren-Nayar reflectance. In: Proceedings of the British machine vision conference, pp 42.1–42.11
57.
Zurück zum Zitat Kadambi A, Taamazyan V, Shi B, Raskar R (2015) Polarized 3D: high-quality depth sensing with polarization cues. In: Proceedings of the IEEE international conference on computer vision, pp 3370–3378 Kadambi A, Taamazyan V, Shi B, Raskar R (2015) Polarized 3D: high-quality depth sensing with polarization cues. In: Proceedings of the IEEE international conference on computer vision, pp 3370–3378
58.
Zurück zum Zitat Kadambi A, Taamazyan V, Shi B, Raskar R (2017) Depth sensing using geometrically constrained polarization normals. Int J Comput Vis 125:34–51MathSciNet Kadambi A, Taamazyan V, Shi B, Raskar R (2017) Depth sensing using geometrically constrained polarization normals. Int J Comput Vis 125:34–51MathSciNet
59.
Zurück zum Zitat Kong N, Tai Y-W, Shin JS (2013) A physically-based approach to reflection separation: from physical modeling to constrained optimization. IEEE Trans Pattern Anal Mach Intell 36(2):209–221 Kong N, Tai Y-W, Shin JS (2013) A physically-based approach to reflection separation: from physical modeling to constrained optimization. IEEE Trans Pattern Anal Mach Intell 36(2):209–221
60.
Zurück zum Zitat Kontsevich LL, Petrov AP, Vergelskaya IS (1994) Reconstruction of shape from shading in color images. J Opt Soc Am A 11(3):1047–1052 Kontsevich LL, Petrov AP, Vergelskaya IS (1994) Reconstruction of shape from shading in color images. J Opt Soc Am A 11(3):1047–1052
61.
Zurück zum Zitat Langguth F, Sunkavalli K, Hadap S, Goesele M (2016) Shading-aware multi-view stereo. In: Proceedings of the European conference on computer vision, pp 469–485 Langguth F, Sunkavalli K, Hadap S, Goesele M (2016) Shading-aware multi-view stereo. In: Proceedings of the European conference on computer vision, pp 469–485
62.
Zurück zum Zitat Leclerc YG, Bobick AF (1991) The direct computation of height from shading. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 552–558 Leclerc YG, Bobick AF (1991) The direct computation of height from shading. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 552–558
63.
Zurück zum Zitat Li M, Zhou Z, Wu Z, Shi B, Diao C, Tan P (2020) Multi-view photometric stereo: a robust solution and benchmark dataset for spatially varying isotropic materials. IEEE Trans Image Process pp 4159–4173 Li M, Zhou Z, Wu Z, Shi B, Diao C, Tan P (2020) Multi-view photometric stereo: a robust solution and benchmark dataset for spatially varying isotropic materials. IEEE Trans Image Process pp 4159–4173
64.
Zurück zum Zitat Lions P-L, Rouy E, Tourin A (1993) Shape-from-shading, viscosity solutions and edges. Numer Math 64(1):323–353MathSciNetMATH Lions P-L, Rouy E, Tourin A (1993) Shape-from-shading, viscosity solutions and edges. Numer Math 64(1):323–353MathSciNetMATH
65.
Zurück zum Zitat Logothetis F, Mecca R, Sgallari F, Cipolla R (2019) A differential approach to shape from polarisation: a level-set characterisation. Int J Comput Vis 127(11–12):1680–1693 Logothetis F, Mecca R, Sgallari F, Cipolla R (2019) A differential approach to shape from polarisation: a level-set characterisation. Int J Comput Vis 127(11–12):1680–1693
66.
Zurück zum Zitat Lyu Y, Cui Z, Li S, Pollefeys M, Shi B (2019) Reflection separation using a pair of unpolarized and polarized images. In: Advances in Neural Information Processing Systems 32, Curran Associates, Inc., pp 14559–14569 Lyu Y, Cui Z, Li S, Pollefeys M, Shi B (2019) Reflection separation using a pair of unpolarized and polarized images. In: Advances in Neural Information Processing Systems 32, Curran Associates, Inc., pp 14559–14569
67.
Zurück zum Zitat Mahmoud AH, El-Melegy MT, Farag AA (2012) Direct method for shape recovery from polarization and shading. In: Proceedings of the IEEE international conference on image processing, pp 1769–1772 Mahmoud AH, El-Melegy MT, Farag AA (2012) Direct method for shape recovery from polarization and shading. In: Proceedings of the IEEE international conference on image processing, pp 1769–1772
68.
Zurück zum Zitat Maurer D, Ju Y-C, Breuß M, Bruhn A (2018) Combining shape from shading and stereo: a joint variational method for estimating depth, illumination and albedo. Int J Comput Vis 126(12):1342–1366 Maurer D, Ju Y-C, Breuß M, Bruhn A (2018) Combining shape from shading and stereo: a joint variational method for estimating depth, illumination and albedo. Int J Comput Vis 126(12):1342–1366
69.
Zurück zum Zitat Mecca R, Falcone M (2013) Uniqueness and approximation of a photometric shape-from-shading model. SIAM J Imaging Sci 6(1):616–659MathSciNetMATH Mecca R, Falcone M (2013) Uniqueness and approximation of a photometric shape-from-shading model. SIAM J Imaging Sci 6(1):616–659MathSciNetMATH
70.
Zurück zum Zitat Mecca R, Wetzler A, Bruckstein A, Kimmel R (2014) Near field photometric stereo with point light sources. SIAM J Imaging Sci 7(4):2732–2770MathSciNetMATH Mecca R, Wetzler A, Bruckstein A, Kimmel R (2014) Near field photometric stereo with point light sources. SIAM J Imaging Sci 7(4):2732–2770MathSciNetMATH
71.
Zurück zum Zitat Mecca R, Quéau Y, Logothetis F, Cipolla R (2016) A single-lobe photometric stereo approach for heterogeneous material. SIAM J Imaging Sci 9(4):1858–1888MathSciNetMATH Mecca R, Quéau Y, Logothetis F, Cipolla R (2016) A single-lobe photometric stereo approach for heterogeneous material. SIAM J Imaging Sci 9(4):1858–1888MathSciNetMATH
72.
Zurück zum Zitat Mélou J, Quéau Y, Castan F, Durou J-D (2019) A splitting-based algorithm for multi-view stereopsis of textureless objects. In: Proceedings of the international conference on scale space and variational methods in computer vision, pp 51–63 Mélou J, Quéau Y, Castan F, Durou J-D (2019) A splitting-based algorithm for multi-view stereopsis of textureless objects. In: Proceedings of the international conference on scale space and variational methods in computer vision, pp 51–63
73.
Zurück zum Zitat Miyazaki D, Kagesawa M, Ikeuchi K (2004) Transparent surface modeling from a pair of polarization images. IEEE Trans Pattern Anal Mach Intell 26(1):73–82 Miyazaki D, Kagesawa M, Ikeuchi K (2004) Transparent surface modeling from a pair of polarization images. IEEE Trans Pattern Anal Mach Intell 26(1):73–82
74.
Zurück zum Zitat Miyazaki D, Saito M, Sato Y, Ikeuchi K (2002) Determining surface orientations of transparent objects based on polarization degrees in visible and infrared wavelengths. J Opt Soc Am A 19(4):687–694 Miyazaki D, Saito M, Sato Y, Ikeuchi K (2002) Determining surface orientations of transparent objects based on polarization degrees in visible and infrared wavelengths. J Opt Soc Am A 19(4):687–694
75.
Zurück zum Zitat Miyazaki D, Shigetomi T, Baba M, Furukawa R, Hiura S, Asada N (2012) Polarization-based surface normal estimation of black specular objects from multiple viewpoints. In: Proceedings of the international conference on 3D imaging, modeling, processing, visualization and transmission, pp 104–111 Miyazaki D, Shigetomi T, Baba M, Furukawa R, Hiura S, Asada N (2012) Polarization-based surface normal estimation of black specular objects from multiple viewpoints. In: Proceedings of the international conference on 3D imaging, modeling, processing, visualization and transmission, pp 104–111
76.
Zurück zum Zitat Miyazaki D, Shigetomi T, Baba M, Furukawa R, Hiura S, Asada N (2016) Surface normal estimation of black specular objects from multiview polarization images. Opt Eng 56(4):041303 Miyazaki D, Shigetomi T, Baba M, Furukawa R, Hiura S, Asada N (2016) Surface normal estimation of black specular objects from multiview polarization images. Opt Eng 56(4):041303
77.
Zurück zum Zitat Miyazaki D, Tan RT, Hara K, Ikeuchi K (2003) Polarization-based inverse rendering from a single view. In: Proceedings of the IEEE international conference on computer vision, pp 982–987 Miyazaki D, Tan RT, Hara K, Ikeuchi K (2003) Polarization-based inverse rendering from a single view. In: Proceedings of the IEEE international conference on computer vision, pp 982–987
78.
Zurück zum Zitat Moons T, Van Gool L, Vergauwen M (2008) 3D reconstruction from multiple images, part 1: principles. Found Trends Comput Graph Vis 4(4):287–404 Moons T, Van Gool L, Vergauwen M (2008) 3D reconstruction from multiple images, part 1: principles. Found Trends Comput Graph Vis 4(4):287–404
79.
Zurück zum Zitat Morel O, Meriaudeau F, Stolz C, Gorria P (2005) Polarization imaging applied to 3D reconstruction of specular metallic surfaces. In: Machine vision applications in industrial inspection XIII. Proceedings of the SPIE, vol 5679, pp 178–186 Morel O, Meriaudeau F, Stolz C, Gorria P (2005) Polarization imaging applied to 3D reconstruction of specular metallic surfaces. In: Machine vision applications in industrial inspection XIII. Proceedings of the SPIE, vol 5679, pp 178–186
80.
Zurück zum Zitat Nayar S, Fang X, Boult T (1997) Separation of reflection components using color and polarization. Int J Comput Vis 21(3):163–186 Nayar S, Fang X, Boult T (1997) Separation of reflection components using color and polarization. Int J Comput Vis 21(3):163–186
81.
Zurück zum Zitat Nayar SK, Nakagawa Y (1994) Shape from focus. IEEE Trans Pattern Anal Mach Intell 16(8):824–831 Nayar SK, Nakagawa Y (1994) Shape from focus. IEEE Trans Pattern Anal Mach Intell 16(8):824–831
82.
Zurück zum Zitat Nehab D, Rusinkiewicz S, Davis J, Ramamoorthi R (2005) Efficiently combining positions and normals for precise 3D geometry. ACM Trans Graph 24(3):536–543 Nehab D, Rusinkiewicz S, Davis J, Ramamoorthi R (2005) Efficiently combining positions and normals for precise 3D geometry. ACM Trans Graph 24(3):536–543
83.
Zurück zum Zitat Ngo TT, Nagahara H, Taniguchi R (2015) Shape and light directions from shading and polarization. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 2310–2318 Ngo TT, Nagahara H, Taniguchi R (2015) Shape and light directions from shading and polarization. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 2310–2318
84.
Zurück zum Zitat Onn R, Bruckstein AM (1990) Integrability disambiguates surface recovery in two-image photometric stereo. Int J Comput Vis 5(1):105–113 Onn R, Bruckstein AM (1990) Integrability disambiguates surface recovery in two-image photometric stereo. Int J Comput Vis 5(1):105–113
85.
Zurück zum Zitat Or-El R, Rosman G, Wetzler A, Kimmel R, Bruckstein A (2015) RGBD-fusion: real-time high precision depth recovery. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 5407–5416 Or-El R, Rosman G, Wetzler A, Kimmel R, Bruckstein A (2015) RGBD-fusion: real-time high precision depth recovery. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 5407–5416
86.
Zurück zum Zitat Osher S, Fedkiw R (2003) Level set methods and dynamic implicit surfaces. In: Applied mathematical sciences, vol 153. Springer, Berlin Osher S, Fedkiw R (2003) Level set methods and dynamic implicit surfaces. In: Applied mathematical sciences, vol 153. Springer, Berlin
87.
Zurück zum Zitat Peng S, Haefner B, Quéau Y, Cremers D (2017) Depth super-resolution meets uncalibrated photometric stereo. In: Proceedings of the IEEE international conference on computer vision workshops, pp 2961–2968 Peng S, Haefner B, Quéau Y, Cremers D (2017) Depth super-resolution meets uncalibrated photometric stereo. In: Proceedings of the IEEE international conference on computer vision workshops, pp 2961–2968
88.
Zurück zum Zitat Pintus R, Dulecha TG, Ciortan I, Gobbetti E, Giachetti A (2019) State-of-the-art in multi-light image collections for surface visualization and analysis. Comput Graph Forum 38(3):909–934 Pintus R, Dulecha TG, Ciortan I, Gobbetti E, Giachetti A (2019) State-of-the-art in multi-light image collections for surface visualization and analysis. Comput Graph Forum 38(3):909–934
89.
Zurück zum Zitat Prados E, Faugeras O (2005) Shape from shading: a well-posed problem? Proceedings of the IEEE conference on computer vision and pattern recognition 2:870–877 Prados E, Faugeras O (2005) Shape from shading: a well-posed problem? Proceedings of the IEEE conference on computer vision and pattern recognition 2:870–877
90.
Zurück zum Zitat Quéau Y, Mecca R, Durou J-D (2016) Unbiased photometric stereo for colored surfaces: a variational approach. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 4359–4368 Quéau Y, Mecca R, Durou J-D (2016) Unbiased photometric stereo for colored surfaces: a variational approach. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 4359–4368
91.
Zurück zum Zitat Quéau Y, Mecca R, Durou J-D, Descombes X (2017) Photometric stereo with only two images: a theoretical study and numerical resolution. Image Vis Comput 57:175–191 Quéau Y, Mecca R, Durou J-D, Descombes X (2017) Photometric stereo with only two images: a theoretical study and numerical resolution. Image Vis Comput 57:175–191
92.
Zurück zum Zitat Quéau Y, Mélou J, Castan F, Cremers D, Durou J-D (2017) A variational approach to shape-from-shading under natural illumination. In: Proceedings of the international workshop on energy minimization methods in computer vision and pattern recognition, pp 342–357 Quéau Y, Mélou J, Castan F, Cremers D, Durou J-D (2017) A variational approach to shape-from-shading under natural illumination. In: Proceedings of the international workshop on energy minimization methods in computer vision and pattern recognition, pp 342–357
93.
Zurück zum Zitat Quéau Y, Wu T, Lauze F, Durou J-D, Cremers D (2017) A non-convex variational approach to photometric stereo under inaccurate lighting. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 99–108 Quéau Y, Wu T, Lauze F, Durou J-D, Cremers D (2017) A non-convex variational approach to photometric stereo under inaccurate lighting. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 99–108
94.
Zurück zum Zitat Quéau Y, Durix B, Wu T, Cremers D, Lauze F, Durou J-D (2018) LED-based photometric stereo: modeling, calibration and numerical solution. J Math Imaging Vis 60(3):313–340MathSciNetMATH Quéau Y, Durix B, Wu T, Cremers D, Lauze F, Durou J-D (2018) LED-based photometric stereo: modeling, calibration and numerical solution. J Math Imaging Vis 60(3):313–340MathSciNetMATH
95.
Zurück zum Zitat Quéau Y, Durou J-D, Aujol J-F (2018) Normal integration: a survey. J Math Imaging Vis 60(4):576–593MathSciNetMATH Quéau Y, Durou J-D, Aujol J-F (2018) Normal integration: a survey. J Math Imaging Vis 60(4):576–593MathSciNetMATH
96.
Zurück zum Zitat Rahmann S, Canterakis N (2001) Reconstruction of specular surfaces using polarization imaging. In: Proceedings of the IEEE conference on computer vision and pattern recognition, vol 1 Rahmann S, Canterakis N (2001) Reconstruction of specular surfaces using polarization imaging. In: Proceedings of the IEEE conference on computer vision and pattern recognition, vol 1
97.
Zurück zum Zitat Robles-Kelly A, Huynh CP (2013) Imaging spectroscopy for scene analysis. Springer, Berlin Robles-Kelly A, Huynh CP (2013) Imaging spectroscopy for scene analysis. Springer, Berlin
98.
Zurück zum Zitat Santo H, Samejima M, Sugano Y, Shi B, Matsushita Y (2017) Deep photometric stereo network. In: Proceedings of the IEEE international conference on computer vision workshops, pp 501–509 Santo H, Samejima M, Sugano Y, Shi B, Matsushita Y (2017) Deep photometric stereo network. In: Proceedings of the IEEE international conference on computer vision workshops, pp 501–509
99.
Zurück zum Zitat Schechner YY (2011) Inversion by \(P^4\): polarization-picture post-processing. Philos Trans R Soc B: Biol Sci 366(1565):638–648 Schechner YY (2011) Inversion by \(P^4\): polarization-picture post-processing. Philos Trans R Soc B: Biol Sci 366(1565):638–648
100.
Zurück zum Zitat Schechner YY (2015) Self-calibrating imaging polarimetry. In: Proceedings of the IEEE international conference on computational photography Schechner YY (2015) Self-calibrating imaging polarimetry. In: Proceedings of the IEEE international conference on computational photography
101.
Zurück zum Zitat Schechner YY, Shamir J, Kiryati N (2000) Polarization and statistical analysis of scenes containing a semireflector. J Opt Soc Am A 17(2):276–284 Schechner YY, Shamir J, Kiryati N (2000) Polarization and statistical analysis of scenes containing a semireflector. J Opt Soc Am A 17(2):276–284
102.
Zurück zum Zitat Sengupta S, Kanazawa A, Castillo CD, Jacobs DW (2018) SfSNet: learning shape, reflectance and illuminance of faces in the wild. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 6296–6305 Sengupta S, Kanazawa A, Castillo CD, Jacobs DW (2018) SfSNet: learning shape, reflectance and illuminance of faces in the wild. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 6296–6305
103.
Zurück zum Zitat Sethian JA (1999) Level set methods and fast marching methods. Cambridge monographs on applied and computational mathematics, vol 3, 2nd edn. Cambridge University Press, Cambridge Sethian JA (1999) Level set methods and fast marching methods. Cambridge monographs on applied and computational mathematics, vol 3, 2nd edn. Cambridge University Press, Cambridge
104.
Zurück zum Zitat Shabayek AER, Demonceaux C, Morel O, Fofi D (2012) Vision based UAV attitude estimation: progress and insights. J Intell Robot Syst 65(1–4):295–308 Shabayek AER, Demonceaux C, Morel O, Fofi D (2012) Vision based UAV attitude estimation: progress and insights. J Intell Robot Syst 65(1–4):295–308
105.
Zurück zum Zitat Shafer SA, Kanade T (1983) Using shadows in finding surface orientations. Comput Vis Graph Image Process 22(1):145–176 Shafer SA, Kanade T (1983) Using shadows in finding surface orientations. Comput Vis Graph Image Process 22(1):145–176
106.
Zurück zum Zitat Shi B, Tan P, Matsushita Y, Ikeuchi K (2013) Bi-polynomial modeling of low-frequency reflectances. IEEE Trans Pattern Anal Mach Intell 36(6):1078–1091 Shi B, Tan P, Matsushita Y, Ikeuchi K (2013) Bi-polynomial modeling of low-frequency reflectances. IEEE Trans Pattern Anal Mach Intell 36(6):1078–1091
107.
Zurück zum Zitat Shi B, Mo Z, Wu Z, Duan D, Yeung S, Tan P (2019) A benchmark dataset and evaluation for non-Lambertian and uncalibrated photometric stereo. IEEE Trans Pattern Anal Mach Intell 41(2):271–284 Shi B, Mo Z, Wu Z, Duan D, Yeung S, Tan P (2019) A benchmark dataset and evaluation for non-Lambertian and uncalibrated photometric stereo. IEEE Trans Pattern Anal Mach Intell 41(2):271–284
108.
Zurück zum Zitat Shurcliff WA (1962) Polarized light, production and use. Harvard University Press, Harvard Shurcliff WA (1962) Polarized light, production and use. Harvard University Press, Harvard
109.
Zurück zum Zitat Simchony T, Chellappa R, Shao M (1990) Direct analytical methods for solving Poisson equations in computer vision problems. IEEE Trans Pattern Anal Mach Intell 12(5):435–446MATH Simchony T, Chellappa R, Shao M (1990) Direct analytical methods for solving Poisson equations in computer vision problems. IEEE Trans Pattern Anal Mach Intell 12(5):435–446MATH
110.
Zurück zum Zitat Smith WAP, Fang F (2016) Height from photometric ratio with model-based light source selection. Comput Vis Image Underst 145:128–138 Smith WAP, Fang F (2016) Height from photometric ratio with model-based light source selection. Comput Vis Image Underst 145:128–138
111.
Zurück zum Zitat Smith WAP, Ramamoorthi R, Tozza S (2016) Linear depth estimation from an uncalibrated, monocular polarisation image. In: European conference on computer vision. Lecture notes in computer science, vol 9912, pp 109–125 Smith WAP, Ramamoorthi R, Tozza S (2016) Linear depth estimation from an uncalibrated, monocular polarisation image. In: European conference on computer vision. Lecture notes in computer science, vol 9912, pp 109–125
112.
Zurück zum Zitat Smith WAP, Ramamoorthi R, Tozza S (2019) Height-from-polarisation with unknown lighting or albedo. IEEE Trans Pattern Anal Mach Intell 41(12):2875–2888 Smith WAP, Ramamoorthi R, Tozza S (2019) Height-from-polarisation with unknown lighting or albedo. IEEE Trans Pattern Anal Mach Intell 41(12):2875–2888
113.
Zurück zum Zitat Soukup D, Huber-Mörk R (2014) Convolutional neural networks for steel surface defect detection from photometric stereo images. In: International symposium on visual computing. Lecture notes in computer science, vol 8887, pp 668–677 Soukup D, Huber-Mörk R (2014) Convolutional neural networks for steel surface defect detection from photometric stereo images. In: International symposium on visual computing. Lecture notes in computer science, vol 8887, pp 668–677
114.
Zurück zum Zitat Sun J, Smith M, Smith L, Coutts L, Dabis R, Harland C, Bamber J (2008) Reflectance of human skin using colour photometric stereo: with particular application to pigmented lesion analysis. Skin Res Technol 14(2):173–179 Sun J, Smith M, Smith L, Coutts L, Dabis R, Harland C, Bamber J (2008) Reflectance of human skin using colour photometric stereo: with particular application to pigmented lesion analysis. Skin Res Technol 14(2):173–179
115.
Zurück zum Zitat Szeliski R (1991) Fast shape from shading. Comput Vis Graph Image Process: Image Underst 53(2):129–153MATH Szeliski R (1991) Fast shape from shading. Comput Vis Graph Image Process: Image Underst 53(2):129–153MATH
117.
Zurück zum Zitat Tankus A, Sochen N, Yeshurun Y (2003) A new perspective [on] shape-from-shading. In: Proceedings of the IEEE international conference on computer vision 2:862–869 Tankus A, Sochen N, Yeshurun Y (2003) A new perspective [on] shape-from-shading. In: Proceedings of the IEEE international conference on computer vision 2:862–869
118.
Zurück zum Zitat Tozza S, Falcone M (2016) Analysis and approximation of some shape-from-shading models for non-Lambertian surfaces. J Math Imaging Vis 55(2):153–178MathSciNetMATH Tozza S, Falcone M (2016) Analysis and approximation of some shape-from-shading models for non-Lambertian surfaces. J Math Imaging Vis 55(2):153–178MathSciNetMATH
119.
Zurück zum Zitat Tozza S, Mecca R, Duocastella M, Del Bue A (2016) Direct differential photometric stereo shape recovery of diffuse and specular surfaces. J Math Imaging Vis 56(1):57–76MathSciNetMATH Tozza S, Mecca R, Duocastella M, Del Bue A (2016) Direct differential photometric stereo shape recovery of diffuse and specular surfaces. J Math Imaging Vis 56(1):57–76MathSciNetMATH
120.
Zurück zum Zitat Tozza S, Smith WAP, Zhu D, Ramamoorthi R, Hancock ER (2017) Linear differential constraints for photo-polarimetric height estimation. In: Proceedings of the IEEE international conference on computer vision, pp 2298–2306 Tozza S, Smith WAP, Zhu D, Ramamoorthi R, Hancock ER (2017) Linear differential constraints for photo-polarimetric height estimation. In: Proceedings of the IEEE international conference on computer vision, pp 2298–2306
121.
Zurück zum Zitat Tuchin VV, Wang L, Zimnyakov DA (2006) Optical polarization in biomedical applications. Springer Science & Business Media, New York Tuchin VV, Wang L, Zimnyakov DA (2006) Optical polarization in biomedical applications. Springer Science & Business Media, New York
122.
Zurück zum Zitat Vogiatzis G, Hernández C, Cipolla R (2006) Reconstruction in the round using photometric normals and silhouettes. In: Proceedings of the IEEE conference on computer vision and pattern recognition 2:1847–1854 Vogiatzis G, Hernández C, Cipolla R (2006) Reconstruction in the round using photometric normals and silhouettes. In: Proceedings of the IEEE conference on computer vision and pattern recognition 2:1847–1854
123.
Zurück zum Zitat White R, Forsyth D (2006) Combining cues: shape from shading and texture. In: Proceedings of the IEEE conference on computer vision and pattern recognition 2:1809–1816 White R, Forsyth D (2006) Combining cues: shape from shading and texture. In: Proceedings of the IEEE conference on computer vision and pattern recognition 2:1809–1816
124.
Zurück zum Zitat Wieschollek P, Gallo O, Gu J, Kautz J (2018) Separating reflection and transmission images in the wild. In: Proceedings of the European conference on computer vision, pp 89–104 Wieschollek P, Gallo O, Gu J, Kautz J (2018) Separating reflection and transmission images in the wild. In: Proceedings of the European conference on computer vision, pp 89–104
125.
Zurück zum Zitat Witkin AP (1981) Recovering surface shape and orientation from texture. Artif Intell 17(1–3):17–45 Witkin AP (1981) Recovering surface shape and orientation from texture. Artif Intell 17(1–3):17–45
126.
Zurück zum Zitat Wolff LB (1990) Surface orientation from two camera stereo with polarizers. In: Optics, illumination, and image sensing for machine vision IV. Proceedings of the SPIE, vol 1194, pp 287–298 Wolff LB (1990) Surface orientation from two camera stereo with polarizers. In: Optics, illumination, and image sensing for machine vision IV. Proceedings of the SPIE, vol 1194, pp 287–298
127.
Zurück zum Zitat Wolff LB (1997) Polarization vision: a new sensory approach to image understanding. Image Vis Comput 15(2):81–93 Wolff LB (1997) Polarization vision: a new sensory approach to image understanding. Image Vis Comput 15(2):81–93
128.
Zurück zum Zitat Wolff LB, Boult TE (1991) Constraining object features using a polarization reflectance model. IEEE Trans Pattern Anal Mach Intell 13(7):635–657 Wolff LB, Boult TE (1991) Constraining object features using a polarization reflectance model. IEEE Trans Pattern Anal Mach Intell 13(7):635–657
129.
Zurück zum Zitat Woodham RJ (1980) Photometric method for determining surface orientation from multiple images. Opt Eng 19(1):134–144 Woodham RJ (1980) Photometric method for determining surface orientation from multiple images. Opt Eng 19(1):134–144
130.
Zurück zum Zitat Worthington PL, Hancock ER (1999) Needle map recovery using robust regularizers. Image Vis Comput 17(8):545–557 Worthington PL, Hancock ER (1999) Needle map recovery using robust regularizers. Image Vis Comput 17(8):545–557
131.
Zurück zum Zitat Wu L, Ganesh A, Shi B, Matsushita Y, Wang Y, Ma Y (2010) Robust photometric stereo via low-rank matrix completion and recovery. In: Proceedings of the Asian conference on computer vision, pp 703–717 Wu L, Ganesh A, Shi B, Matsushita Y, Wang Y, Ma Y (2010) Robust photometric stereo via low-rank matrix completion and recovery. In: Proceedings of the Asian conference on computer vision, pp 703–717
132.
Zurück zum Zitat Yang L, Tan F, Li A, Cui Z, Furukawa Y, Tan P (2018) Polarimetric dense monocular SLAM. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 3857–3866 Yang L, Tan F, Li A, Cui Z, Furukawa Y, Tan P (2018) Polarimetric dense monocular SLAM. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 3857–3866
133.
Zurück zum Zitat Yuille AL, Snow D, Epstein R, Belhumeur PN (1999) Determining generative models of objects under varying illumination: shape and albedo from multiple images using SVD and integrability. Int J Comput Vis 35(3):203–222 Yuille AL, Snow D, Epstein R, Belhumeur PN (1999) Determining generative models of objects under varying illumination: shape and albedo from multiple images using SVD and integrability. Int J Comput Vis 35(3):203–222
134.
Zurück zum Zitat Zhang R, Tsai P-S, Cryer JE, Shah M (1999) Shape-from-shading: a survey. IEEE Trans Pattern Anal Mach Intell 21(8):690–706MATH Zhang R, Tsai P-S, Cryer JE, Shah M (1999) Shape-from-shading: a survey. IEEE Trans Pattern Anal Mach Intell 21(8):690–706MATH
135.
Zurück zum Zitat Zhu D, Smith WAP (2019) Depth from a polarisation + RGB stereo pair. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 7586–7595 Zhu D, Smith WAP (2019) Depth from a polarisation + RGB stereo pair. In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 7586–7595
Metadaten
Titel
A Comprehensive Introduction to Photometric 3D-Reconstruction
verfasst von
Jean-Denis Durou
Maurizio Falcone
Yvain Quéau
Silvia Tozza
Copyright-Jahr
2020
DOI
https://doi.org/10.1007/978-3-030-51866-0_1

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