Abstract
Polarization has been used to solve a lot of computer vision tasks such as Shape from Polarization (SfP). But existing methods suffer from ambiguity problems of polarization. To overcome such problems, some research works have suggested to use Convolutional Neural Network (CNN). But acquiring large scale dataset with polarization information is a very difficult task. If there is an accurate model which can describe a complicated phenomenon of polarization, we can easily produce synthetic polarized images with various situations to train CNN.
In this paper, we propose a new polarimetric BRDF (pBRDF) model. We prove its accuracy by fitting our model to measured data with variety of light and camera conditions. We render polarized images using this model and use them to estimate surface normal. Experiments show that the CNN trained by our polarized images has more accuracy than one trained by RGB only.
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References
Atkinson, G.A., Hancock, E.R.: Multi-view surface reconstruction using polarization. In: IEEE International Conference on Computer Vision, vol. 1, pp. 309–316. IEEE (2005)
Atkinson, G.A., Hancock, E.R.: Polarization-based surface reconstruction via patch matching. In: IEEE Conference on Computer Vision and Pattern Recognition, vol. 1, pp. 495–502. IEEE (2006)
Atkinson, G.A., Hancock, E.R.: Recovery of surface orientation from diffuse polarization. IEEE Trans. Image Process. 15(6), 1653–1664 (2006)
Atkinson, G.A., Hancock, E.R.: Recovering material reflectance from polarization and simulated annealing. In: Belhumeur, P., Ikeuchi, K., Prados, E., Soatto, S., Sturm, P. (eds.) Proceedings of the First International Workshop on Photometric Analysis For Computer Vision - PACV 2007, p. 8. INRIA, Rio de Janeiro (2007). https://hal.inria.fr/inria-00265255, iSBN 2-7261-1297 8
Atkinson, G.A., Hancock, E.R.: Shape estimation using polarization and shading from two views. IEEE Trans. Pattern Anal. Mach. Intell. 29(11), 2001–2017 (2007)
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. 466–473. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-74272-2_58
Ba, Y., Chen, R., Wang, Y., Yan, L., Shi, B., Kadambi, A.: Physics-based neural networks for shape from polarization. arXiv preprint arXiv:1903.10210 (2019)
Baek, S.H., Jeon, D.S., Tong, X., Kim, M.H.: Simultaneous acquisition of polarimetric svbrdf and normals. ACM Trans. Graph. 37(6), 1–4 (2018)
Bagher, M.M., Soler, C., Holzschuch, N.: Accurate fitting of measured reflectances using a shifted gamma micro-facet distribution. In: Computer Graphics Forum, vol. 31, pp. 1509–1518. Wiley Online Library (2012)
Blender: Suzanne. https://www.blender.org/. Accessed 15 Nov 2019
Chen, L., Zheng, Y., Subpa-Asa, A., Sato, I.: Polarimetric three-view geometry. In: Proceedings of the European Conference on Computer Vision (ECCV), pp. 20–36 (2018)
Collett, E.: Field Guide to Polarization. Field Guide Series, SPIE Press (2005), https://books.google.co.jp/books?id=5lJwcCsLbLsC
Cui, Z., Gu, J., Shi, B., Tan, P., Kautz, J.: Polarimetric multi-view stereo. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 1558–1567 (2017)
Cui, Z., Larsson, V., Pollefeys, M.: Polarimetric relative pose estimation. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 2671–2680 (2019)
Hyde Iv, M., Schmidt, J., Havrilla, M.: A geometrical optics polarimetric bidirectional reflectance distribution function for dielectric and metallic surfaces. Opt. Exp. 17(24), 22138–22153 (2009)
Kadambi, A., Taamazyan, V., Shi, B., Raskar, R.: Polarized 3D: high-quality depth sensing with polarization cues. In: IEEE International Conference on Computer Vision, pp. 3370–3378 (2015)
Logothetis, F., Mecca, R., Sgallari, F., Cipolla, R.: A differential approach to shape from polarisation: a level-set characterisation. Int. J. Comput. Vis. 127(11–12), 1680–1693 (2019)
Mahmoud, A.H., El-Melegy, M.T., Farag, A.A.: Direct method for shape recovery from polarization and shading. In: IEEE International Conference on Image Processing, pp. 1769–1772. IEEE (2012)
Miyazaki, D., Kagesawa, M., Ikeuchi, K.: Transparent surface modeling from a pair of polarization images. IEEE Trans. Pattern Anal. Mach. Intell. 1, 73–82 (2004)
Miyazaki, D., Tan, R.T., Hara, K., Ikeuchi, K.: Polarization-based inverse rendering from a single view. In: IEEE International Conference on Computer Vision, p. 982. IEEE (2003)
Nayar, S.K., Fang, X.S., Boult, T.: Separation of reflection components using color and polarization. Int. J. Comput. Vis. 21(3), 163–186 (1997)
Ngo Thanh, T., Nagahara, H., Taniguchi, R.I.: Shape and light directions from shading and polarization. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 2310–2318 (2015)
Priest, R.G., Meier, S.R.: Polarimetric microfacet scattering theory with applications to absorptive and reflective surfaces. Opt. Eng. 41, 988–993 (2002)
Rahmann, S., Canterakis, N.: Reconstruction of specular surfaces using polarization imaging. In: IEEE Conference on Computer Vision and Pattern Recognition, vol. 1, pp. I-I. IEEE (2001)
Renhorn, I.G., Boreman, G.D.: Developing a generalized BRDF model from experimental data. Opt. Exp. 26(13), 17099–17114 (2018)
Renhorn, I.G., Hallberg, T., Bergström, D., Boreman, G.D.: Four-parameter model for polarization-resolved rough-surface BRDF. Opt. Exp. 19(2), 1027–1036 (2011)
Renhorn, I.G., Hallberg, T., Boreman, G.D.: Efficient polarimetric BRDF model. Opt. Exp. 23(24), 31253–31273 (2015)
Schechner, Y.Y., Narasimhan, S.G., Nayar, S.K.: Instant dehazing of images using polarization. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 325–332 (2001)
Smith, W.A., Ramamoorthi, R., Tozza, S.: Height-from-polarisation with unknown lighting or albedo. IEEE Trans. Pattern Anal. Mach. Intell. 41(12), 2875–2888 (2018)
Taamazyan, V., Kadambi, A., Raskar, R.: Shape from mixed polarization. arXiv preprint arXiv:1605.02066 (2016)
Thilak, V., Voelz, D.G., Creusere, C.D.: Polarization-based index of refraction and reflection angle estimation for remote sensing applications. Appl. Opt. 46(30), 7527–7536 (2007)
Turk, G., Levoy, M.: The stanford bunny. http://graphics.stanford.edu/data/3Dscanrep/. Accessed 15 Nov 2019
Walter, B., Marschner, S.R., Li, H., Torrance, K.E.: Microfacet models for refraction through rough surfaces. In: Eurographics conference on Rendering Techniques, pp. 195–206. Eurographics Association (2007)
Wang, K., Zhu, J.P., Liu, H.: Degree of polarization based on the three-component PBRDF model for metallic materials. Chin. Phys. B 26(2), 024210 (2017)
Wolff, L.B.: Polarization-based material classification from specular reflection. IEEE Trans. Pattern Anal. Mach. Intell. 12(11), 1059–1071 (1990)
Wolff, L.B., Boult, T.E.: Constraining object features using a polarization reflectance model. IEEE Trans. Pattern Anal. Mach. Intell. 7, 635–657 (1991)
Yamazaki, T., et al.: Four-directional pixel-wise polarization CMOS image sensor using air-gap wire grid on 2.5-\(\mu \)m back-illuminated pixels. In: IEEE International Electron Devices Meeting, pp. 8–17. IEEE (2016)
Yang, L., Tan, F., Li, A., Cui, Z., Furukawa, Y., Tan, P.: Polarimetric dense monocular slam. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 3857–3866 (2018)
Zhang, Y., et al.: Physically-based rendering for indoor scene understanding using convolutional neural networks. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 5287–5295 (2017)
Zhang, Y., Zhang, Y., Zhao, H., Wang, Z.: Improved atmospheric effects elimination method for PBRDF models of painted surfaces. Opt. Exp. 25(14), 16458–16475 (2017)
Zhu, D., Smith, W.A.: Depth from a polarisation + rgb stereo pair. In: IEEE Conference on Computer Vision and Pattern Recognition (2019)
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We express our sincere thanks to our colleagues from Sony Corporation for their helpful discussion and support.
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Kondo, Y., Ono, T., Sun, L., Hirasawa, Y., Murayama, J. (2020). Accurate Polarimetric BRDF for Real Polarization Scene Rendering. In: Vedaldi, A., Bischof, H., Brox, T., Frahm, JM. (eds) Computer Vision – ECCV 2020. ECCV 2020. Lecture Notes in Computer Science(), vol 12364. Springer, Cham. https://doi.org/10.1007/978-3-030-58529-7_14
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