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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 1 — Jan. 1, 2000
  • pp: 28–33

Large-scale failures of f-α scaling in natural image spectra

Michael S. Langer  »View Author Affiliations

JOSA A, Vol. 17, Issue 1, pp. 28-33 (2000)

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Several studies have demonstrated that the power spectra of natural image ensembles scale as f-α. A stronger claim that has been made is that the power spectra of single natural images typically also scale as f-α. Results are presented that challenge this latter claim. The results are based on a method for estimating large-scale structure in single images that compares aliasing artifacts produced by image windows of different shape. Failures of f-α scaling are found at large scales in many natural images. These failures cannot be accounted for by f-α scaling models such as a linear superposition model or a model based on two-dimensional occlusions in the image plane. The results imply that claims about f-α scaling in single natural images have been exaggerated. The results also offer insight into why such failures of f-α scaling occur.

© 2000 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.4790) Fourier optics and signal processing : Spectrum analysis
(100.2000) Image processing : Digital image processing
(100.2960) Image processing : Image analysis
(330.5000) Vision, color, and visual optics : Vision - patterns and recognition
(330.6130) Vision, color, and visual optics : Spatial resolution

Original Manuscript: January 19, 1999
Revised Manuscript: August 11, 1999
Manuscript Accepted: July 16, 1999
Published: January 1, 2000

Michael S. Langer, "Large-scale failures of f scaling in natural image spectra," J. Opt. Soc. Am. A 17, 28-33 (2000)

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