Abstract
Various computational techniques have been developed that performreasonably well in inferring shape from shading. However, thesetechniques typically require substantial prerequisite information ifthey are to evolve an estimate of surface shape. It is thereforeinteresting to consider how depth might be inferred from shadinginformation without prior knowledge of various scene conditions. Oneapproach has been to undertake a pre-processing step ofestimating the light-source direction, thereby providing input tothe computation of shape from shading. In this paper, we presentevidence that a versatile light-source-direction estimator isunattainable, and propose that, in the absence of domain-specificknowledge, shape and light-source direction should be determined ina coupled manner
Similar content being viewed by others
References
P. Breton, L.A. Iverson, M.S. Langer, and S.W. Zucker, "Shading flows and scenel bundles: A new approach to shape from shading," Computer Vision—ECCV '92(Second European Conference on Computer Vision, Santa Margherita Ligure, Italy, May 19–22, 1992), Springer: Berlin, 1992, pp. 135–150.
M.J. Brooks, W. Chojnacki, and R. Kozera, "Impossible and ambiguous shading patterns," International Journal of Computer Vision, Vol. 7, pp. 119–126, 1992.
M.J. Brooks and B.K.P. Horn, "Shape and source from shading," Proceedings of the Ninth International Joint Conference on Artificial Intelligence(Los Angeles, CA, 1985), M. Kaufmann: Los Altos, CA, 1985, pp. 932–936.
W. Chojnacki, M.J. Brooks, and D. Gibbins, "On the feasibility of determining light-source direction from an image," Quarterly of Applied Mathematics(to appear).
W. Chojnacki, M.J. Brooks, and D. Gibbins, "Revisiting Pentland's estimator of light source direction," Journal of the Optical Society of America A, Vol. 11, pp. 118–124, 1994.
D. Gibbins, "Estimating Illumination Conditions for Shape from Shading," Ph.D. Thesis, School of Information Science and Technology, Flinders University of South Australia, South Australia, May 1994.
D. Gibbins, M.J. Brooks, and W. Chojnacki, "Light source direction from a single image: A performance analysis," Australian Computer Journal, Vol. 23, pp. 165–174, 1991.
B.K.P. Horn, "Obtaining shape from shading information," The Psychology of Computer Vision, P.H. Winston (Ed.), McGraw-Hill: New York, pp. 115–155, 1975.
B.K.P. Horn and M.J. Brooks (Eds.), Shape from Shading, MIT Press: Cambridge, MA, 1989.
B.K.P. Horn and R.W. Sjoberg, "Calculating the reflectance map," Applied Optics, Vol. 18, pp. 1770–1779, 1979.
T. Jech, Set Theory, Academic Press: New York, 1978.
C.H. Lee and A. Rosenfeld, "Improved methods of estimating shape from shading using the light source coordinate system," Artificial Intelligence, Vol. 26, pp. 125–143, 1985.
A.P. Pentland, "Finding the illuminant direction," Journal of the Optical Society of America, Vol. 72, pp. 448–455, 1982.
W.A. Veech, A Second Course in Complex Analysis, W.A. Benjamin: New York, 1967.
D. Weinshall, "Local shape approximation from shading," Journal of Mathematical Imaging and Vision, Vol. 4, pp. 119–138, 1994.
Q. Zheng and R. Chellappa, "Estimation of illumination direction, albedo, and shape from shading," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 13, pp. 680–702, 1991.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chojnacki, W., Brooks, M.J. & Gibbins, D. Can the Sun's Direction be Estimated from an Image Prior to the Computation of Object Shape?. Journal of Mathematical Imaging and Vision 7, 139–147 (1997). https://doi.org/10.1023/A:1008201505044
Issue Date:
DOI: https://doi.org/10.1023/A:1008201505044