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A Parametric Method of Shape-from-Shading and Experimental Comparisons

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Mustererkennung 1997

Part of the book series: Informatik aktuell ((INFORMAT))

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Abstract

In this paper, we present a new method of shape from shading by using radial basis functions to parameterize the object depth. The radial basis functions are deformed by adjusting their centers, widths, and weights such that the intensity errors are minimized. An important feature of our parametric shape-from-shading method is that it offers an unified framework for integration of multiple sensory information. We show that both quantitative and qualitative knowledge about surface depth and/or surface normals anywhere in the image can be easily incorporated into the shape from shading process. Experimental comparisons of our method with several existing ones are made by using both synthetic and real images.

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References

  1. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. I, Interscience Publishers, New York, 1953

    Google Scholar 

  2. R.T. Frankot, R. Chellapa, IEEE Trans. PAMI.Vol.10, No.4, pp.439–451, 1988.

    Article  MATH  Google Scholar 

  3. J.W. Hsieh, H.Y.M. Liao, M.T. Ko, and K.C. Fan, “ Wavelet-based shape from shading Graphal Models and Image Pro, Vol. 57, No. 4, pp. 343–362, 1994.

    Article  Google Scholar 

  4. B.K.P. Horn, Int. Journal of Computer VisionVol.5, No.1, pp.37–75, 1990.

    Google Scholar 

  5. B.K.P. Horn, M.J. Brooks (eds), Shape From ShadingMIT Press1989

    Google Scholar 

  6. Y.G. Leclerc, A.F. Bobick, Proc. IEEE Conf. on CVPR, Hawaii, 1991, pp. 552–558.

    Google Scholar 

  7. K.M. Lee, C.C.J. Kuo, IEEE Trans. PA MI., Vol. 15, No. 8, pp. 815–822, 1993.

    Article  Google Scholar 

  8. K.M. Lee, C.C.J. Kuo, CVGIP: Image Under., Vol. 59, No. 2, pp. 202–212, 1994.

    Article  Google Scholar 

  9. K.M. Lee, C.C.J. Kuo, J. Opt. Soc. Am. A,Vol. 10, No.5, pp.855–868, 1993.

    Article  Google Scholar 

  10. J. Moody, C.J. Darken, Neural Computation,Vol.1, pp.281–294, 1989.

    Article  Google Scholar 

  11. J. Park, I.W. Sandberg, Neural Computation,Vol.3, pp.246–257, 1991.

    Article  Google Scholar 

  12. T. Poggio, F. Girosi, Proc. IEEE ,Vol.78, No.9, pp.1481–1497, 1990.

    Article  Google Scholar 

  13. M.J.D. Powell, In: Algorithms for Approximation, J.C. Mason, M.G. Cox, Ed., Oxford, 1987, pp. 143–167.

    Google Scholar 

  14. D.E. Rumelhart, G.E. Hinton, and R.J. Williams, in D.E. Rumelhart, and J.L. McClelland (Eds), Parallel Distributed Processing: Explorations in the Microstructure of Cognition, Vol.I, pp.318–362, MIT Press, Cambridge MA, 1986

    Google Scholar 

  15. R. Szeliski, CVGIP: Image Under., Vol. 53, No. 2, pp. 125–153, 1991

    Google Scholar 

  16. D. Terzopoulos, IEEE Trans. PAMI., Vol. 8, No. 2, pp. 129–139, 1986.

    Article  Google Scholar 

  17. G.Q. Wei, G. Hirzinger, IEEE Trans. Neu. Net , Vol. 17, No. 4, pp. 985–995, 1996.

    Google Scholar 

  18. G.Q. Wei, G. Hirzinger, Tech. Rep., DLR Oberfaffenhofen, 1996.

    Google Scholar 

  19. R.Zhang, P.S.Tsai, J.E. Cryer, M. Shah, Proc. CVPR, pp. 377–384, 1994.

    Google Scholar 

  20. Q. Zheng, R. Chellapa, IEEE Trans. PAMI., Vol. 13, No. 7, pp. 680–702, 1991.

    Article  Google Scholar 

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© 1997 Springer-Verlag Berlin Heidelberg

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Wei, GQ., Hirzinger, G. (1997). A Parametric Method of Shape-from-Shading and Experimental Comparisons. In: Paulus, E., Wahl, F.M. (eds) Mustererkennung 1997. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60893-3_23

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  • DOI: https://doi.org/10.1007/978-3-642-60893-3_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63426-3

  • Online ISBN: 978-3-642-60893-3

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