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Recovery of Surface Normals and Reflectance from Different Lighting Conditions

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Image Analysis and Recognition (ICIAR 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5112))

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Abstract

This paper presents a method for finding the surface normals and reflectance of an object from a set of images obtained under different lighting conditions. This set of images, assuming a Lambertian object, can be approximated by a three dimensional linear subspace, under an orthographic camera model and without shadows and specularities. However, a higher dimensional subspace is needed when images present pixels in shadow, specularities or ambient illumination. This paper proposes on the one hand to consider pixels in shadow and specularities as missing data; and on the other hand a rank-four formulation to recover the ambient illumination. An adaptation of the Alternation technique is introduced to compute the sought surface normals and light-source matrices. Experimental results show the good performance of the proposed Alternation-based strategy.

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References

  1. Basri, R., Jacobs, D., Kemelmacher, I.: Photometric stereo with general, unknown lighting. International Journal of Computer Vision 72, 239–257 (2007)

    Article  Google Scholar 

  2. Shashua, A.: On photometric issues in 3D visual recognition from a single 2D image. International Journal of Computer Vision 21, 99–122 (1997)

    Article  Google Scholar 

  3. Golub, G., Van Loan, C. (eds.): Matrix Computations. The Johns Hopkins Univ. Press (1989)

    Google Scholar 

  4. Zhang, L., Brian, C., Hertzmann, A., Seitz, S.: Shape and motion under varying illumination: unifying structure from motion, photometric stereo, and multiview stereo. In: IEEE CVPR, pp. 618–625 (2003)

    Google Scholar 

  5. Hayakawa, H.: Photometric stereo under a light source with arbitrary motion. Optical Society of America 11, 3079–3089 (1994)

    Article  Google Scholar 

  6. Tomasi, C., Kanade, T.: Shape and motion from image streams under orthography: a factorization method. International Journal of Computer Vision 9(2), 137–154 (1992)

    Article  Google Scholar 

  7. Epstein, R., Yuille, A., Belhumeur, P.: Learning object representations from lighting variations. In: Object recognition workshop, ECCV (1996)

    Google Scholar 

  8. Basri, R., Jacobs, D.: Lambertian reflectance and linear subspaces. IEEE Transactions on Pattern Analysis and Machine Intelligence 25, 218–233 (2003)

    Article  Google Scholar 

  9. Yuille, A., Snow, D., Epstein, R., Belhumeur, P.: Determining generative models of objects under vaying illumination: shape and albedo from multiple images using SVD and integrability. Int. Journal of Computer Vision 35, 203–222 (1999)

    Article  Google Scholar 

  10. Wiberg, T.: Computation of principal components when data is missing. In: Second Symposium of Computational Statistics, pp. 229–326 (1976)

    Google Scholar 

  11. Hartley, R., Schaffalitzky, F.: Powerfactorization: 3D reconstruction with missing or uncertain data. In: Australian-Japan advanced workshop on Computer Vision (2003)

    Google Scholar 

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Aurélio Campilho Mohamed Kamel

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© 2008 Springer-Verlag Berlin Heidelberg

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Julià, C., Sappa, A.D., Lumbreras, F., Serrat, J., López, A. (2008). Recovery of Surface Normals and Reflectance from Different Lighting Conditions. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2008. Lecture Notes in Computer Science, vol 5112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69812-8_31

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  • DOI: https://doi.org/10.1007/978-3-540-69812-8_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69811-1

  • Online ISBN: 978-3-540-69812-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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