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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 10 — Oct. 1, 2000
  • pp: 1744–1754

Theory of spatiochromatic image encoding and feature extraction

Andrew McCabe, Terry Caelli, Geoff West, and Adam Reeves  »View Author Affiliations


JOSA A, Vol. 17, Issue 10, pp. 1744-1754 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001744


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Abstract

We consider how to interpret, filter, and cross-correlate complex-value color (hue and saturation) images by using a single discrete Fourier transform: the spatiochromatic discrete Fourier transform. The model defines new types of spatiochromatic oriented sinusoidal gratings, termed rainbow gratings, which encode the variation of color over space. We demonstrate how color-opponent detectors observed within the vertebrate visual system can be easily defined by linear filters within this representation. This model also allows us to filter and detect both spatial and chromatic patterns in images by using a single cross-correlation procedure. In doing so, we explore a new form of the Cauchy–Schwartz inequality applied to complex-valued scalar products. Results demonstrate the power of this form of spatiochromatic matched filtering in detecting signals embedded in such a significant amount of noise that they are not visible to the unaided human eye.

© 2000 Optical Society of America

OCIS Codes
(100.5010) Image processing : Pattern recognition
(330.1720) Vision, color, and visual optics : Color vision
(330.6110) Vision, color, and visual optics : Spatial filtering

Citation
Andrew McCabe, Terry Caelli, Geoff West, and Adam Reeves, "Theory of spatiochromatic image encoding and feature extraction," J. Opt. Soc. Am. A 17, 1744-1754 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-10-1744


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References

  1. J. Davidoff, “Color perception,” in The Handbook of Brain Theory and Neural Networks, M. A. Arbib, ed. (MIT Press, Cambridge, Mass., 1995), pp. 210–215.
  2. T. Caelli and D. Reye, “On the classification of image regions by color, texture, and shape,” Pattern Recogn. 26, 461–470 (1993).
  3. D. Slater and G. Healey, “The illuminant-invariant recognition of 3D objects using local color invariants,” IEEE Trans. Pattern Anal. Mach. Intell. 18, 206–210 (1996).
  4. D. Carevic and T. Caelli, “Region-based coding of colour images using the Karhunen–Loève transform,” Graphical Models Image Process. 59, 27–38 (1997).
  5. G. Healey, “Modeling color images for machine vision,” in Image Technology: Advances in Image Processing, Multimedia and Machine Vision, J. Sanz, ed. (Springer-Verlag, Berlin, 1995), pp. 129–146.
  6. M. Das, E. M. Riseman, and B. A. Draper, “FOCUS: Searching for multi-colored objects in a diverse image,” in IEEE Conference on Computer Vision and Pattern Recognition 97 (IEEE Computer Society Press, Los Alamitos, Calif., 1997), pp. 756–761.
  7. J. Huang, S. R. Kumar, M. Mitra, W. Zhu, and R. Zabih, “Image indexing using color correlograms,” in Computer Vision and Pattern Recognition 97 (IEEE Computer Society Press, Los Alamitos, Calif., 1997), pp. 762–768.
  8. A. Jain and G. Healey, “A multiscale representation including opponent color features for texture recognition,” IEEE Trans. Image Process. 7, 124–128 (1998).
  9. B. Thai and G. Healey, “Modeling and classifying symmetries using a multiscale opponent color representation,” IEEE Trans. Pattern Anal. Mach. Intell. 20, 1224–1235 (1998).
  10. E. Persoon and K. S. Fu, “Shape discrimination using Fourier descriptors,” IEEE Trans. Syst. Man Cybern. SMC-7, 170–179 (1977).
  11. G. Bonmasser and E. Schwartz, “Lie groups, space-variant Fourier analysis and the exponential chirp transform,” in IEEE Conference on Computer Vision and Pattern Recognition (IEEE Computer Society Press, Los Alamitos, Calif., 1996), pp. 492–498.
  12. A. L. Thornton and S. J. Sangwine, “Colour object location using complex coding in the frequency domain,” in Proceedings of the 5th International Conference on Image Processing and Its Applications (Heriot-Watt University, Edinburgh, UK, 1995), pp. 820–824.
  13. R. Boylestad, Introductory Circuit Analysis, 6th ed. (Macmillan, New York, 1990).
  14. CIE, “Colorimetry,” Tech. Rep. No. 15.2–1986 (CIE: International Commission on Illumination, Vienna, 1986; 2nd ed. (1996).
  15. S. Marcelja, “Mathematical description of the responses of simple cortical cells,” J. Opt. Soc. Am. 70, 1297–1300 (1980).
  16. J. G. Daugman, “Two-dimensional spectral analysis of cortical receptive field profiles,” Vision Res. 20, 847–856 (1980).
  17. J. D. Gaskill, Linear Systems, Fourier Transforms and Optics (Wiley, New York, 1978).
  18. M. Livingstone and D. Hubel, “Anatomy and Physiology of Q colour system in the primate visual cortex,” J. Physiol. 4, 309–356 (1984).
  19. J. S. Lim, Two-Dimensional Signal and Image Processing (Prentice-Hall Inc., Englewood Cliffs, N.J., 1990).

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