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Perspective Shape from Shading with Non-Lambertian Reflectance

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Pattern Recognition (DAGM 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5096))

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Abstract

In this work, we extend the applicability of perspective Shape from Shading to images incorporating non-Lambertian surfaces. To this end, we derive a new model inspired by the perspective model for Lambertian surfaces recently studied by Prados et al. and the Phong reflection model incorporating ambient, diffuse and specular components. Besides the detailed description of the modeling process, we propose an efficient and stable semi-implicit numerical realisation of the resulting Hamilton-Jacobi equation. Numerical experiments on both synthetic and simple real-world images show the benefits of our new model: While computational times stay modest, a large qualitative gain can be achieved.

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References

  1. Horn, B.K.P., Brooks, M.J.: Shape from Shading. Artificial Intelligence Series. MIT Press, Cambridge (1989)

    Google Scholar 

  2. Zhang, R., Tsai, P.S., Cryer, J.E., Shah, M.: Shape from shading: A survey. IEEE Transactions on Pattern Analysis and Machine Intelligence 21(8), 690–706 (1999)

    Article  Google Scholar 

  3. Prados, E.: Application of the theory of the viscosity solutions to the Shape from Shading problem. PhD thesis, University of Nice Sophia-Antipolis (2004)

    Google Scholar 

  4. Horn, B.K.P.: Shape from Shading: A Method for Obtaining the Shape of a Smooth Opaque Object from One View. PhD thesis, Department of Electrical Engineering, MIT, Cambridge, MA (1970)

    Google Scholar 

  5. Bakshi, S., Yang, Y.H.: Shape from shading for non-Lambertian surfaces. In: Proc. IEEE International Conference on Image Processing, vol. 2, pp. 130–134. IEEE Computer Society Press, Austin (1994)

    Chapter  Google Scholar 

  6. Lee, K., Kuo, C.C.J.: Shape from shading with a generalized reflectance map model. Computer Vision and Image Understanding 67(2), 143–160 (1997)

    Article  Google Scholar 

  7. Okatani, T., Deguchi, K.: Reconstructing shape from shading with a point light source at the projection center: Shape reconstruction from an endoscope image. In: Proc. 1996 International Conference on Pattern Recognition, Vienna, Austria, pp. 830–834 (1996)

    Google Scholar 

  8. Tankus, A., Sochen, N., Yeshurun, Y.: Perspective shape-from-shading by fast marching. In: Proc. 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol. 1, pp. 43–49. IEEE Computer Society Press, Washington (2004)

    Chapter  Google Scholar 

  9. Tankus, A., Sochen, N., Yeshurun, Y.: Shape-from-shading under perspective projection. International Journal of Computer Vision 63(1), 21–43 (2005)

    Article  Google Scholar 

  10. Cristiani, E., Falcone, M., Seghini, A.: Some remarks on perspective shape-from-shading models. In: Sgallari, F., Murli, A., Paragios, N. (eds.) SSVM 2007. LNCS, vol. 4485, pp. 276–287. Springer, Berlin (2007)

    Chapter  Google Scholar 

  11. Okatani, T., Deguchi, K.: Shape reconstruction from an endoscope image by shape from shading technique for a point light source at the projection center. Computer Vision and Image Understanding 66(2), 119–131 (1997)

    Article  Google Scholar 

  12. Vogel, O., Breuß, M., Weickert, J.: A direct numerical approach to perspective shape-from-shading. In: Lensch, H., Rosenhahn, B., Seidel, H.P., Slusallek, P., Weickert, J. (eds.) Vision, Modeling, and Visualization, Saarbrücken, Germany, pp. 91–100 (2007)

    Google Scholar 

  13. Phong, B.T.: Illumination of Computer-Generated Images. PhD thesis, Department of Computer Science, University of Utah (1975)

    Google Scholar 

  14. Phong, B.T.: Illumination for computer-generated pictures. Communications of the ACM 18(6), 311–317 (1975)

    Article  Google Scholar 

  15. Prados, E., Faugeras, O.: Unifying approaches and removing unrealistic assumptions in shape from shading: Mathematics can help. In: Pajdla, T., Matas, J. (eds.) ECCV 2004. LNCS, vol. 3024, pp. 141–154. Springer, Heidelberg (2004)

    Google Scholar 

  16. Rouy, E., Tourin, A.: A viscosity solutions approach to shape-from-shading. SIAM Journal of Numerical Analysis 29(3), 867–884 (1992)

    Article  MathSciNet  MATH  Google Scholar 

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Gerhard Rigoll

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© 2008 Springer-Verlag Berlin Heidelberg

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Vogel, O., Breuß, M., Weickert, J. (2008). Perspective Shape from Shading with Non-Lambertian Reflectance. In: Rigoll, G. (eds) Pattern Recognition. DAGM 2008. Lecture Notes in Computer Science, vol 5096. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69321-5_52

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  • DOI: https://doi.org/10.1007/978-3-540-69321-5_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69320-8

  • Online ISBN: 978-3-540-69321-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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