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2020 | OriginalPaper | Chapter

1. A Comprehensive Introduction to Photometric 3D-Reconstruction

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

Published in: Advances in Photometric 3D-Reconstruction

Publisher: 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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next chapter Perspective Shape from Shading
Footnotes
Literature
1.
Adelson EH, Pentland AP (1996) The perception of shading and reflectance. In: Perception as Bayesian inference. Cambridge University Press, Cambridge, pp 409–423
2.
3.
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.
Atkinson GA, Hancock ER (2006) Recovery of surface orientation from diffuse polarization. IEEE Trans Image Process 15(6):1653–1664
5.
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.
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.
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.
Barles G (1994) Solutions de viscosité des équations de Hamilton-Jacobi. Mathématiques et Applications, vol 17. Springer, Berlin
9.
Barron JT, Malik J (2015) Shape, illumination, and reflectance from shading. IEEE Trans Pattern Anal Mach Intell 37(8):1670–1687
10.
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.
Basri R, Jacobs D, Kemelmacher I (2007) Photometric stereo with general, unknown lighting. Int J Comput Vis 72(3):239–257
12.
Belhumeur PN, Kriegman DJ, Yuille AL (1999) The Bas-relief ambiguity. Int J Comput Vis 35(1):33–44
13.
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.
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.
Brady M, Yuille AL (1984) An extremum principle for shape from contour. IEEE Trans Pattern Anal Mach Intell 6(3):288–301MATH
16.
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.
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.
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.
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.
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.
Clark JJ (2010) Photometric stereo using LCD displays. Image Vis Comput 28(4):704–714
22.
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.
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.
Crandall MG, Lions P-L (1983) Viscosity solutions of Hamilton-Jacobi equations. Trans Am Math Soc 277(1):1–42MathSciNetMATH
25.
26.
Cristiani E, Falcone M (2007) Fast semi-Lagrangian schemes for the eikonal equation and applications. SIAM J Numer Anal 45(5):1979–2011MathSciNetMATH
27.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Festa A, Falcone M (2014) An approximation scheme for an Eikonal equation with discontinuous coefficient. SIAM J Numer Anal 52(1):236–257
37.
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.
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.
Geng J (2011) Structured-light 3D surface imaging: a tutorial. Adv Opt Photonics 3(2):128–160
40.
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.
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.
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.
Hartley RI, Zisserman A (2004) Multiple view geometry in computer vision, 2nd edn. Cambridge University Press, CambridgeMATH
44.
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.
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.
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
47.
48.
Horn BKP (1970) Shape from shading: a method for obtaining the shape of a smooth opaque object from one view. PhD thesis, MIT
49.
Horn BKP, Brooks MJ (1986) The variational approach to shape from shading. Comput Vis Graph Image Process 33(2):174–208MATH
50.
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.
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.
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.
Ikeuchi K, Horn BKP (1981) Numerical shape from shading and occluding boundaries. Artif Intell 17(1–3):141–184
54.
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.
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.
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.
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.
Kadambi A, Taamazyan V, Shi B, Raskar R (2017) Depth sensing using geometrically constrained polarization normals. Int J Comput Vis 125:34–51MathSciNet
59.
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.
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.
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.
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.
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.
Lions P-L, Rouy E, Tourin A (1993) Shape-from-shading, viscosity solutions and edges. Numer Math 64(1):323–353MathSciNetMATH
65.
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.
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.
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.
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.
Mecca R, Falcone M (2013) Uniqueness and approximation of a photometric shape-from-shading model. SIAM J Imaging Sci 6(1):616–659MathSciNetMATH
70.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Nayar S, Fang X, Boult T (1997) Separation of reflection components using color and polarization. Int J Comput Vis 21(3):163–186
81.
Nayar SK, Nakagawa Y (1994) Shape from focus. IEEE Trans Pattern Anal Mach Intell 16(8):824–831
82.
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.
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.
Onn R, Bruckstein AM (1990) Integrability disambiguates surface recovery in two-image photometric stereo. Int J Comput Vis 5(1):105–113
85.
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.
Osher S, Fedkiw R (2003) Level set methods and dynamic implicit surfaces. In: Applied mathematical sciences, vol 153. Springer, Berlin
87.
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.
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.
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.
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.
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.
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.
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.
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.
Quéau Y, Durou J-D, Aujol J-F (2018) Normal integration: a survey. J Math Imaging Vis 60(4):576–593MathSciNetMATH
96.
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.
Robles-Kelly A, Huynh CP (2013) Imaging spectroscopy for scene analysis. Springer, Berlin
98.
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.
Schechner YY (2011) Inversion by \(P^4\): polarization-picture post-processing. Philos Trans R Soc B: Biol Sci 366(1565):638–648
100.
Schechner YY (2015) Self-calibrating imaging polarimetry. In: Proceedings of the IEEE international conference on computational photography
101.
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.
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.
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.
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.
Shafer SA, Kanade T (1983) Using shadows in finding surface orientations. Comput Vis Graph Image Process 22(1):145–176
106.
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.
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.
Shurcliff WA (1962) Polarized light, production and use. Harvard University Press, Harvard
109.
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.
Smith WAP, Fang F (2016) Height from photometric ratio with model-based light source selection. Comput Vis Image Underst 145:128–138
111.
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.
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.
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.
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.
Szeliski R (1991) Fast shape from shading. Comput Vis Graph Image Process: Image Underst 53(2):129–153MATH
116.
117.
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.
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.
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.
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.
Tuchin VV, Wang L, Zimnyakov DA (2006) Optical polarization in biomedical applications. Springer Science & Business Media, New York
122.
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.
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.
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.
Witkin AP (1981) Recovering surface shape and orientation from texture. Artif Intell 17(1–3):17–45
126.
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.
Wolff LB (1997) Polarization vision: a new sensory approach to image understanding. Image Vis Comput 15(2):81–93
128.
Wolff LB, Boult TE (1991) Constraining object features using a polarization reflectance model. IEEE Trans Pattern Anal Mach Intell 13(7):635–657
129.
Woodham RJ (1980) Photometric method for determining surface orientation from multiple images. Opt Eng 19(1):134–144
130.
Worthington PL, Hancock ER (1999) Needle map recovery using robust regularizers. Image Vis Comput 17(8):545–557
131.
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.
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.
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.
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.
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
Metadata
Title
A Comprehensive Introduction to Photometric 3D-Reconstruction
Authors
Jean-Denis Durou
Maurizio Falcone
Yvain Quéau
Silvia Tozza
Copyright Year
2020
Book
Advances in Photometric 3D-Reconstruction

Print ISBN: 978-3-030-51865-3

Electronic ISBN: 978-3-030-51866-0

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-51866-0_1

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