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.

2003

• Rosario M Balboa, Norberto M Grzywacz (2003), "Power spectra and distribution of contrasts of natural images from different habitats ", Vision Research, 43(24):2527-2537.
  [ abstract]

2001

• Rosario M Balboa, Christopher W Tyler, Norberto M Grzywacz (2001) "Occlusions contribute to scaling in natural images", Vision Research, 41(7):955-964.
  [ abstract]

2000

• Vincent A. Billock (2000), "Neural acclimation to 1/f spatial frequency spectra in natural images transduced by the human visual system", Physica D, 137(3-4):379-391.
  [ abstract]

• 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,

• CA Parraga, DJ Tolhurst (2000), "The effect of contrast randomisation on the discrimination of changes in the slopes of the amplitude spectra of natural scenes", Perception, 29(9):1101-1116.

• CA Parraga, T Troscianko, DJ Tolhurst (2000), "The human visual system is optimised for processing the spatial information in natural visual images", Current Biology, 10(1):35-38.

• DJ Tolhurst, Y Tadmor (2000), "Discrimination of spectrally blended natural images: optimisation of the human visual system for encoding natural images", Perception, 29(9):1087-1100.

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

• A Turiel, N Parga, DL Ruderman, TW Cronin (2000), "Multiscaling and information content of natural color images", Physical Review E, 62(1):1138-1148.

1999

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

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

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.

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

• 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.

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

1996

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

1995

• DW Dong, JJ Atick (1995), "Statistics of natural time-varying images", Network: Computation in Neural Systems, 6(3):345-358.

1994

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

1993

• DJ Field (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.
  

1992

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

1987

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

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

1986

• T Lundahl, WJ Ohley, SM Kay, R Siffe (1986), "Fractional Brownian motion: a maximum likelihood estimator and its application to image texture", IEEE Transactions on Medical Images, 5(3):152-161.

1978

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

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