Statistics of Television Signals

Kretzmer, E. R.

doi:10.1002/j.1538-7305.1952.tb01404.x

Cited by 197 publications

(40 citation statements)

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“…Empirical studies showed that typical behavior followed a f ν−2 law, being ν a small correction factor [46], Fig. 2.…”

Section: B Image Statistics and Gaussian Scale Mixturesmentioning

confidence: 92%

“…2) Prefiltering parameter estimation: Based on the typical images power spectrum [46], [47], we have used a simple model for P x , namelyP x = k/f 2 , where f represents absolute frequency and k an arbitrary constant. In order to force the model to be consistent with the estimated original variance (σ 2 x = σ 2 y0 − σ 2 w0 ), the following expression must hold:…”

Section: ) Deblurring-by-denoisingmentioning

confidence: 99%

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Image Restoration Using Space-Variant Gaussian Scale Mixtures in Overcomplete Pyramids

Guerrero-Colon

Mancera

Portilla³

2008

IEEE Trans. on Image Process.

108

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Abstract-In recent years Bayes Least Squares -Gaussian scale mixtures (BLS-GSM) has emerged as one of the most powerful methods for image restoration. Its strength relies on providing a simple and yet very effective local statistical description of oriented pyramid coefficient neighborhoods via a GSM vector. This can be viewed as a fine adaptation of the model to the signal variance at each scale, orientation and spatial location. Here we present an enhancement of the model by introducing a coarser adaptation level, where a larger neighborhood is used to estimate the local signal covariance within every subband. We formulate our model as a Bayes least squares estimator using space-variant Gaussian scale mixtures. The model can be also applied to image deconvolution, by first performing a global blur compensation, and then doing local adaptive denoising. We demonstrate through simulations that the proposed method, besides being model-based and non-iterative, it is also robust and efficient. Its performance, measured visually and in L2-norm terms, is significantly higher than the original BLS-GSM method, both for denoising and deconvolution.

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“…Empirical studies showed that typical behavior followed a f ν−2 law, being ν a small correction factor [46], Fig. 2.…”

Section: B Image Statistics and Gaussian Scale Mixturesmentioning

confidence: 92%

Section: ) Deblurring-by-denoisingmentioning

confidence: 99%

Image Restoration Using Space-Variant Gaussian Scale Mixtures in Overcomplete Pyramids

Guerrero-Colon

Mancera

Portilla³

2008

IEEE Trans. on Image Process.

108

View full text Add to dashboard Cite

show abstract

“…Studies of image autocorrelation data have been performed for several types of images in conjunction with the development of methods for image data compression (Kretzmer, 1952;O'Neal, 1966;Huang, 1965). These studies indicate that this is indeed an excellent model for a wide variety of scanned pictorial data (Franks, 1966;Habibi and Wintz, 1971).…”

Section: Scene Autocorrelation Modelmentioning

confidence: 99%