OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 5 — May. 1, 2009
  • pp: 1250–1255

Illuminance flow over anisotropic surfaces with arbitrary viewpoint

Stefan M. Karlsson, Sylvia Pont, and Jan Koenderink  »View Author Affiliations

JOSA A, Vol. 26, Issue 5, pp. 1250-1255 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (344 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The theory of illuminance flow estimation by structure tensors is generalized for oblique viewing of anisotropic texture. An added benefit is that the theory predicts the behavior of unsupervised illuminant tilt estimators. The previous theory is refined with general matrix formulations and compacted by exploiting general properties of the structure tensor. Theoretical predictions based on the revised theory are presented and compared with experimental results on rendered images. The predicted curves are shown to conform well to expectations when the deviations from normal viewing and surface anisotropy are not large.

© 2009 Optical Society of America

OCIS Codes
(100.2960) Image processing : Image analysis
(150.2950) Machine vision : Illumination
(330.7310) Vision, color, and visual optics : Vision

ToC Category:
Machine Vision

Original Manuscript: January 21, 2009
Manuscript Accepted: March 11, 2009
Published: April 21, 2009

Virtual Issues
Vol. 4, Iss. 7 Virtual Journal for Biomedical Optics

Stefan M. Karlsson, Sylvia Pont, and Jan Koenderink, "Illuminance flow over anisotropic surfaces with arbitrary viewpoint," J. Opt. Soc. Am. A 26, 1250-1255 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. J. Koenderink and S. C. Pont, “Irradiation direction from texture,” J. Opt. Soc. Am. A 20, 1875-1882 (2003). [CrossRef]
  2. J. Bigun and G. H. Granlund, “Optimal orientation detection of linear symmetry,” in Proceedings of International Conference on Computer Vision (IEEE, 1987), pp. 433-438.
  3. S. C. Pont and J. J. Koenderink, “Irradiation orientation from obliquely viewed texture,” in Proceedings of the Conference on Deep Structure, Singularities, and Computer Vision (EU,DSSCV05) (Springer, 2005), pp. 205-210. [CrossRef]
  4. S. Karlsson, S. C. Pont, and J. J. Koenderink, “Illuminance flow over anisotropic surfaces,” J. Opt. Soc. Am. A 25, 282-291 (2008). [CrossRef]
  5. M. Varma and A. Zisserman, “Estimating illumination direction from textured images,” in Proceedings of Computer Vision and Pattern Recognition Workshop (IEEE, 2004) pp. 179-186.
  6. D. Knill, “Estimating illuminant direction and degree of surface relief,” J. Opt. Soc. Am. A 7, 759-775 (1990). [CrossRef] [PubMed]
  7. M. Chantler and G. Delguste, “Illuminant-tilt estimation from images of isotropic texture,” IEE Proc. Vision Image Signal Process. 144, 213-219 (1997). [CrossRef]
  8. X. Lladó, A. Oliver, M. Petrou, J. Freixenet, and J. Martí, “Simultaneous surface texture classification and illumination tilt angle prediction,” in Proceedings of the British Machine Vision Conference, Norwich, England (2003).
  9. M. Berry and V. Hannay, “Umbilic points on Gaussian random surfaces,” J. Phys. A 10, 1809-1821 (1977). [CrossRef]
  10. M. S. Longuet-Higgins, “The statistical analysis of a random moving surface,” Philos. Trans. R. Soc. London, Ser. A 249, 321-64 (1956).
  11. P. Kube and A. Pentland, “On the imaging of fractal surfaces,” IEEE Trans. Pattern Anal. Mach. Intell. 10, 704-707 (1988). [CrossRef]
  12. A. Pentland, “The visual inference of shape: computation from local features,” Ph.D. thesis (Massachusetts Institute of Technology, 1982).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited