OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1068–1076

Modeling the sensitivity of moment invariants in a recognition system

David Slater and Glenn Healey  »View Author Affiliations

JOSA A, Vol. 15, Issue 5, pp. 1068-1076 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (858 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We derive a sensitivity analysis for moment invariants of multidimensional distributions. These invariants have many uses in computational systems and have recently been used for illumination-invariant recognition in color images. In this context, the sensitivity analysis predicts the response of moment invariants to partial occlusion. Using the results of the sensitivity analysis, we develop a novel surface representation called the invariant profile, which captures color distribution and spatial information while remaining invariant to the spectral content of the scene illumination. Unlike for previous representations, the recognition of invariant profiles does not require illumination correction. We demonstrate the sensitivity analysis and the use of invariant profiles for recognition with a set of experiments on color images.

© 1998 Optical Society of America

OCIS Codes
(100.5010) Image processing : Pattern recognition
(150.2950) Machine vision : Illumination

Original Manuscript: December 16, 1997
Manuscript Accepted: December 16, 1997
Published: May 1, 1998

David Slater and Glenn Healey, "Modeling the sensitivity of moment invariants in a recognition system," J. Opt. Soc. Am. A 15, 1068-1076 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Swain, D. Ballard, “Color indexing,” Int. J. Comput. Vis. 7, 11–32 (1991). [CrossRef]
  2. B. Funt, G. Finlayson, “Color constant color indexing,” IEEE Trans. Pattern. Anal. Mach. Intell. 17, 522–529 (1995). [CrossRef]
  3. G. Healey, D. Slater, “Global color constancy: recognition of objects by use of illumination invariant properties of color distributions,” J. Opt. Soc. Am. A 11, 3003–3010 (1994). [CrossRef]
  4. D. Slater, G. Healey, “The illumination-invariant matching of deterministic local structure in color images,” IEEE Trans. Pattern. Anal. Mach. Intell. 19, 1146–1151 (1997). [CrossRef]
  5. G. Taubin, D. Cooper, “Object recognition based on moment (or algebraic) invariants,” in Geometric Invariance in Computer Vision, J. Mundy, A. Zisserman, eds. (MIT Press, Cambridge, Mass, 1992), pp. 375–397.
  6. D. Slater, G. Healey, “The illumination-invariant recognition of 3D objects using local color invariants,” IEEE Trans. Pattern. Anal. Mach. Intell. 18, 206–210 (1996). [CrossRef]
  7. G. Healey, D. Slater, “Computing illumination-invariant descriptors of spatially filtered color image regions,” IEEE Trans. Image Process. 6, 1002–1013 (1997). [CrossRef]
  8. G. Healey, A. Jain, “Retrieving multispectral satellite images using physics-based invariant representations,” IEEE Trans. Pattern. Anal. Mach. Intell. 18, 842–848 (1996). [CrossRef]
  9. R. W. Picard, T. P. Minka, “Vision texture for annotation,” Multimed. Syst. 3, 3–14 (1995).
  10. G. Finlayson, S. Chatterjee, B. Funt, “Color angular indexing.” Presented at the European Conference on Computer Vision, Cambridge, UK, May 1996.
  11. J. Cohen, “Dependency of the spectral reflectance curves of the Munsell color chips,” Psychonom. Sci. 1, 369–370 (1964).
  12. L. Maloney, “Evaluation of linear models of surface spectral reflectance with small numbers of parameters,” J. Opt. Soc. Am. A 3, 1673–1683 (1986). [CrossRef] [PubMed]
  13. J. P. S. Parkkinen, J. Hallikainen, T. Jaaskelainen, “Characteristic spectra of Munsell colors,” J. Opt. Soc. Am. A 6, 318–322 (1989). [CrossRef]
  14. D. Marimont, B. Wandell, “Linear models of surface and illuminant spectra,” J. Opt. Soc. Am. A 9, 1905–1913 (1992). [CrossRef] [PubMed]
  15. B. Wandell, “The synthesis and analysis of color images,” IEEE Trans. Pattern. Anal. Mach. Intell. PAMI-9, 2–13 (1987). [CrossRef]
  16. K. Atkinson, An Introduction to Numerical Analysis (Wiley, New York, 1978).
  17. J. H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon, Oxford, 1965).
  18. G. Healey, R. Kondepudy, “Radiometric CCD camera calibration and noise estimation,” IEEE Trans. Pattern. Anal. Mach. Intell. 16, 267–276 (1994). [CrossRef]
  19. B. Bamieh, R. J. P. de Figueiredo, “A general moment-invariants/attributed-graph method for three-dimensional object recognition from a single image,” IEEE J. Robotics Automation 2, 31–41 (1986).
  20. R. Kondepudy, G. Healey, “Use of invariants for recognition of three-dimensional color textures,” J. Opt. Soc. Am. A 11, 3037–3049 (1994). [CrossRef]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited