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Volume 12 Issue 1
January  1997
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Deng Yanping, Li Jiegu. Existence and Uniqueness in Shape from Shading[J]. Journal of Computer Science and Technology, 1997, 12(1): 58-64.
Citation: Deng Yanping, Li Jiegu. Existence and Uniqueness in Shape from Shading[J]. Journal of Computer Science and Technology, 1997, 12(1): 58-64.
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Existence and Uniqueness in Shape from Shading

  • Institute of Image Processing and Pattern Recognition Shanghai Jiaotong University; Shanghai 200030;

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  • Published Date: January 09, 1997
    Abstract
  • For the image of a smooth surface object fully contained within the field of view and illuminated in an arbitrary direction, this paper discusses the ekistence and uniqueness of the conditions for solving a shape-from-shading problem under the conditions that the Fourier series expansion of the image intensity contains only zero and first order terms in a polar coordinate system. Three theorems are established, one for the ekistence and two for the uniqueness of z-axis symmetric shape from shading.
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    • References (3)
  • [1]
    Horn.B.K.P. Height and gradient from shading. Int.J.Comput. Vision, 1990, 5(1): 37-75.
    [2]
    Bruss.A.R. The eikonal equation: Some results applicable to computer vision. J. Math.Phys.,1982, 23(5): 890-896.
    [3]
    Oliensis.J. Uniqueness in shape from shading. Int. J. Comput. Vision, 1991, 6(2): 75-104. ……….
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