1/f (One-Over-F) Noise (or Related Topics)
in Images

Note that many papers concerning image use "amplitude spectra" instead of "power spectra". The latter is the square of the former. So when the amplitude spectrum behaves like 1/f (or 1/k for speatial frequency), the power spectrum behaves like 1/f².

2000

• MS Langer (2000),
  "Large scale failures of f^-a scaling in natural image spectra",
  Journal of the Optical Society of America A, 17(1):28-33,

• A Turiel, N Parga (2000),
  "Multifractal wavelet filter of natural images",
  Physical Review Letters, 85(15):3325-3328.

1999

• SJ Rainville, FA Kingdom (1999),
  "Spatial-scale contribution to the detection of mirror symmetry in fractal noise",
  Journal of Optical Soceity of America, 16(9):2112-2123.
  [ Medline entry]

• MG Thomson (1999),
  "Visual coding and the phase structure of natural scenes",
  Network, 10(2):123-132.
  [ Medline entry ]

1997

• DJ Field, N Brady (1997),
  "Visual sensitivity, blur and the sources of variability in the amplitude spectra of natural scenes",
  Vision Research, 37(23):3367-3383.
  [ Medline entry]

• DL Ruderman (1997),
  "Origins of scaling in natural images",
  Vision Research, 37:3385-3398.
  [ Medline ]

• DJ Tolhurst, Y Tadmor (1997),
  "Discrimination of changes in the slopes of the amplitude spectra of natural images: band-limited contrast and psychometric functions",
  Perception, 26(8):1011-1025.
  [ Medline entry]

• MA Webster, E Miyahara (1997),
  "Contrast adaptation and the spatial structure of natural image",
  Journal of Optical Society of America, 14(9):2355-2366.
  [ Medline entry]

1996

• A Schaaf, J Hateren (1996),
  "Modelling the power spectra of natural images: statistics and information",
  Vision Research, 28:2759-2770.
  [ Medline entry]

1994

• DL Ruderman, W Bialek (1994),
  "Statistics of natural images: scaling in the woods",
  Physical Review Letters, 73:814-817.

1993

• DJ Fields (1993),
  "Scale-invariance and self-similar 'wavelet' transformations: an analysis of natural scenes and mammalian visual system",
  in Wavelets, Fractals, and Fourier Transforms, eds. M Farge, J Hunt, JC Vassilicos (Oxford).

• Y Tadmor, DJ Tolhurst (1993),
  "Both the phase and the amplitude spectrum may determine the appearance of natural images",
  Vision Research, 33(1):141-145.
  [ Medline entry]

1992

• DJ Tolhurst, Y Tadmor, T Chao (1992),
  "Amplitude spectra of natural images",
  Ophthalmic & Physiological Optics, 12(2):229-232.
  [ Medline entry ]

1987

• GJ Burton, TR Moorehead (1987),
  "Color and spatial structure in natural scenes",
  Applied Optics, 26:157-170.

• DJ Fields (1987),
  "Relations between the statistics of natural images and the response properties of cortical cells",
  Journal of the Optical Society of America, 4:2379-2394.

1986

• "Fractional Brownian motion: a maximum likelihood estimator and its application to image texture",
  IEEE Transactions on Medical Images, 5, 173-175 (1986).

1978

• CR Carlson (1978),
  "Thresholds for perceived image sharpness",
  Photographic Science and Engineering, 22:69-71.

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