Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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On the feasibility of determining light-source direction from an image


Authors: Wojciech Chojnacki, Michael J. Brooks and Daniel Gibbins
Journal: Quart. Appl. Math. 56 (1998), 289-307
MSC: Primary 68T10; Secondary 35R30, 68U10, 78A10
DOI: https://doi.org/10.1090/qam/1622495
MathSciNet review: MR1622495
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Abstract | References | Similar Articles | Additional Information

Abstract: Various computational techniques have been developed that perform reasonably well in inferring shape from shading. However, these techniques typically require substantial prerequisite information if they are to evolve an estimate of surface shape. It is therefore interesting to consider how depth might be inferred from shading information without prior knowledge of various scene conditions. One approach has been to undertake a pre-processing step of estimating the light-source direction, thereby providing input to the computation of shape from shading. In this paper, we present evidence that a versatile light-source-direction estimator is unattainable.


References [Enhancements On Off] (What's this?)

  • [1] M. J. Brooks, W. Chojnacki, and R. Kozera, Impossible and ambiguous shading patterns, International Journal of Computer Vision 7, 119-126 (1992)
  • [2] W. Chojnacki, M. J. Brooks, and D. Gibbins, Revisiting Pentland's estimator of light source direction, Journal of the Optical Society of America A 11, 118-124 (1994)
  • [3] Philip Hartman, Ordinary differential equations, 2nd ed., Birkhäuser, Boston, Mass., 1982. MR 658490
  • [4] Berthold Horn, Obtaining shape from shading information, The psychology of computer vision, McGraw-Hill, New York, 1975, pp. 115–155. MR 0416135
  • [5] Berthold K. P. Horn and Michael J. Brooks (eds.), Shape from shading, MIT Press Series in Artificial Intelligence, MIT Press, Cambridge, MA, 1989. MR 1062877
  • [6] B. K. P. Horn and R. W. Sjoberg, Calculating the reflectance map, Applied Optics 18, 1770-1779 (1979)
  • [7] Thomas Jech, Set theory, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. Pure and Applied Mathematics. MR 506523
  • [8] A. P. Pentland, Finding the illuminant direction, Journal of the Optical Society of America 72, 448-455 (1982)
  • [9] William A. Veech, A second course in complex analysis, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0220903

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Additional Information

DOI: https://doi.org/10.1090/qam/1622495
Article copyright: © Copyright 1998 American Mathematical Society


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