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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

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 8 — Aug. 1, 2006
  • pp: 1823–1826

Image spectral amplitude distributions

W. H. Hsiao and R. P. Millane  »View Author Affiliations


JOSA A, Vol. 23, Issue 8, pp. 1823-1826 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001823


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Abstract

Models for the probability density functions of the Fourier amplitude of images are derived. The densities are based on a simple model of an image made up of independent objects and incorporates the observed behavior of the circularly averaged power spectrum versus spatial frequency. The density function over all spatial frequencies gives a good fit to spectral amplitude data from a variety of images.

© 2006 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.2000) Image processing : Digital image processing

ToC Category:
Image Processing

History
Original Manuscript: November 18, 2005
Manuscript Accepted: February 9, 2006

Citation
W. H. Hsiao and R. P. Millane, "Image spectral amplitude distributions," J. Opt. Soc. Am. A 23, 1823-1826 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-8-1823


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References

  1. W. K. Pratt, Digital Image Processing (Wiley, 1978).
  2. R. L. Joshi and T. R. Fischer, "Comparison of generalized Gaussian and Laplacian modeling in DCT image-coding," IEEE Signal Process. Lett. 2, 81-82 (1995). [CrossRef]
  3. D. L. Richards, "Statistical properties of speech," Proc. Inst. Electr. Eng. 111, 941-949 (1964). [CrossRef]
  4. S. Gazor and W. Zhang, "Speech probability distri-bution," IEEE Signal Process. Lett. 10, 204-207 (2003). [CrossRef]
  5. A. Mohammad-Djafari, "From deterministic to probabilistic approaches to solve inverse problems," in Bayesian Inference for Inverse Problems, A. Mohammad-Djafari, ed., Proc. SPIE 3459, 2-11 (1998). [CrossRef]
  6. J. Ye, K. Webb, C. Bouman, and R. Millane, "Optical diffusion tomography by iterative-coordinate-descent optimization in a Bayesian framework," J. Opt. Soc. Am. A 16, 2400-2412 (1999). [CrossRef]
  7. S. Baskaran and R. Millane, "Bayesian image reconstruction from partial image and aliased spectral intensity data," IEEE Trans. Image Process. 8, 1420-1434 (1999). [CrossRef]
  8. F. Muller, "Distribution shape of 2-dimensional DCT coefficients of natural images," Electron. Lett. 29, 1935-1936 (1993). [CrossRef]
  9. J. H. Chang, "Image probability distribution based on generalized Gamma function," IEEE Signal Process. Lett. 12, 325-328 (2005). [CrossRef]
  10. J. W. Shin, J. H. Chang, and N. Kim, "Statistical modeling of speech signals based on generalized Gamma distribution," IEEE Signal Process. Lett. 12, 258-261 (2005). [CrossRef]
  11. J. K. Jao, "Amplitude distribution of composite terrain radar clutter and the k-distribution," IEEE Trans. Antennas Propag. AP-32, 1049-1062 (1984).
  12. E. Conte and M. Longo, "Characterization of radar clutter as a spherically invariant random process," IEE Proc. F, Radar Signal Process. 134, 191-196 (1987).
  13. R. P. Millane, "Phase retrieval in crystallography and optics," J. Opt. Soc. Am. A 7, 394-411 (1990). [CrossRef]
  14. W. H. Hsiao and R. P. Millane, "Effects of Fourier amplitude and phase errors on image reconstruction," in Image Reconstruction from Incomplete Data III, P. J. Bones, M. A. Fiddy, and R. P. Millane, eds., Proc. SPIE 5562, 27-37 (2004).
  15. D. L. Ruderman, "Origins of scaling in natural images," Vision Res. 37, 3385-3398 (1997). [CrossRef]
  16. W. H. Hsiao and R. P. Millane, "Effects of occlusion edges and scaling on the power spectra of natural images," J. Opt. Soc. Am. A 22, 1789-1797 (2005). [CrossRef]
  17. D. J. Tolhurst, Y. Tadmor, and T. Chao, "Amplitude spectra of natural images," Ophthalmic Physiol. Opt. 12, 229-232 (1992). [CrossRef] [PubMed]
  18. I. S. Gradshtein, I. M. Ryzhik, and A. Jeffrey, Table of Integrals, Series, and Products (Academic, 1980).

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