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Beyond Multi-view Stereo: Shading-Reflectance Decomposition

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10302))

Abstract

We introduce a variational framework for separating shading and reflectance from a series of images acquired under different angles, when the geometry has already been estimated by multi-view stereo. Our formulation uses an \(l^1\)-TV variational framework, where a robust photometric-based data term enforces adequation to the images, total variation ensures piecewise-smoothness of the reflectance, and an additional multi-view consistency term is introduced for resolving the arising ambiguities. Optimisation is carried out using an alternating optimisation strategy building upon iteratively reweighted least-squares. Preliminary results on both a synthetic dataset, using various lighting and reflectance scenarios, and a real dataset, confirm the potential of the proposed approach.

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Notes

  1. 1.

    This model is valid for greyscale images. To handle RGB images, our approach can be applied independently to each color channel.

  2. 2.

    In order to compare comparable things, we scale the estimated albedos in each part, so that its median is equal to the associated ground truth value.

References

  1. Agarwal, S., Snavely, N., Simon, I., Seitz, S.M., Szeliski, R.: Building Rome in a day. In: Proceedings of ICCV (2009)

    Google Scholar 

  2. Aujol, J.F., Gilboa, G., Chan, T., Osher, S.: Structure-texture image decomposition - modeling, algorithms, and parameter selection. Int. J. Comput. Vis. 67(1), 111–136 (2006)

    Article  MATH  Google Scholar 

  3. Basri, R., Jacobs, D., Kemelmacher, I.: Photometric stereo with general, unknown lighting. Int. J. Comput. Vis. 72(3), 239–257 (2007)

    Article  Google Scholar 

  4. Horn, B.K.P.: Shape from shading: a method for obtaining the shape of a smooth opaque object from one view. Ph.D. thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology (1970)

    Google Scholar 

  5. Jin, H., Cremers, D., Wang, D., Yezzi, A., Prados, E., Soatto, S.: 3-D reconstruction of shaded objects from multiple images under unknown illumination. Int. J. Comput. Vis. 76(3), 245–256 (2008)

    Article  Google Scholar 

  6. Kim, K., Torii, A., Okutomi, M.: Multi-view inverse rendering under arbitrary illumination and albedo. In: Leibe, B., Matas, J., Sebe, N., Welling, M. (eds.) ECCV 2016. LNCS, vol. 9907, pp. 750–767. Springer, Cham (2016). doi:10.1007/978-3-319-46487-9_46

    Chapter  Google Scholar 

  7. Langguth, F., Sunkavalli, K., Hadap, S., Goesele, M.: Shading-aware multi-view stereo. In: Leibe, B., Matas, J., Sebe, N., Welling, M. (eds.) ECCV 2016. LNCS, vol. 9907, pp. 469–485. Springer, Cham (2016). doi:10.1007/978-3-319-46487-9_29

    Chapter  Google Scholar 

  8. Le Guen, V.: Cartoon + Texture image decomposition by the TV-L1 model. Image Process. On Line 4, 204–219 (2014). https://doi.org/10.5201/ipol.2014.103

  9. Maurer, D., Ju, Y.C., Breuß, M., Bruhn, A.: Combining shape from shading and stereo: a variational approach for the joint estimation of depth, illumination and albedo. In: Proceedings of BMVC (2016)

    Google Scholar 

  10. Moulon, P., Monasse, P., Marlet, R.: openMVG: an open multiple view geometry library. https://github.com/openMVG/openMVG

  11. Ramamoorthi, R., Hanrahan, P.: An efficient representation for irradiance environment maps. In: Proceedings of SIGGRAPH (2001)

    Google Scholar 

  12. Seitz, S.M., Curless, B., Diebel, J., Scharstein, D., Szeliski, R.: A comparison and evaluation of multi-view stereo reconstruction algorithms. In: Proceedings of CVPR (2006)

    Google Scholar 

  13. Strecha, C., Von Hansen, W., Van Gool, L.J., Fua, P., Thoennessen, U.: On benchmarking camera calibration and multi-view stereo for high resolution imagery. In: Proceedings of CVPR (2008)

    Google Scholar 

  14. Woodham, R.J.: Photometric method for determining surface orientation from multiple images. Opt. Eng. 19(1), 139–144 (1980)

    Article  Google Scholar 

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Correspondence to Jean Mélou .

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Mélou, J., Quéau, Y., Durou, JD., Castan, F., Cremers, D. (2017). Beyond Multi-view Stereo: Shading-Reflectance Decomposition. In: Lauze, F., Dong, Y., Dahl, A. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2017. Lecture Notes in Computer Science(), vol 10302. Springer, Cham. https://doi.org/10.1007/978-3-319-58771-4_55

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  • DOI: https://doi.org/10.1007/978-3-319-58771-4_55

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-58770-7

  • Online ISBN: 978-3-319-58771-4

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