Image Restoration by Removal of Random-Media Degradations*

Mueller, P.; Reynolds, George O.

doi:10.1364/josa.57.001338

Cited by 28 publications

(5 citation statements)

References 13 publications

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“…niiH? 0 r7n St0rat ^-^ü 1^" ^6] ); s P aiial ^HerU Mueller 17], Reynolds [7]); constrained deconvolution (MacAdams [81); and the Fourier transform method (Harris [9], McGlamery Tiot)…”

Section: Summary Of ^-Nage Restoration Methodsmentioning

confidence: 99%

A Study of the Fourier Transform Method of Image Restoration

Davidson¹

1973

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Approved for public re 1 aase; distribution unlimited. r^~ *vnm^^***m^*^^' i ABSTRACT H Q n ™ s. re P ort examines the Fourier transforn method of restorinq degraded images of point objects. The principal conclusion pported by this study is that the major problem in restoring these images is the presence of poles in the restored image spectrum. A series of functions of image degradation, for a computer modeled degraded imaging system are presented to support this conclusion. Also included is a thorough mathematical analysis of the restored image spectrum.

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“…niiH? 0 r7n St0rat ^-^ü 1^" ^6] ); s P aiial ^HerU Mueller 17], Reynolds [7]); constrained deconvolution (MacAdams [81); and the Fourier transform method (Harris [9], McGlamery Tiot)…”

Section: Summary Of ^-Nage Restoration Methodsmentioning

confidence: 99%

A Study of the Fourier Transform Method of Image Restoration

Davidson¹

1973

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“…This process may be continued until DCy) is sufficiently small. Equation (8) resembles the Wiener filter, equation (71, but the difference is that in equation (8) no explicit knowledge of the statistical parameters is required other than an estimate of the noise variance.…”

Section: The Filter Functionsmentioning

confidence: 99%

The restoration of electron micrographs blurred by drift and rotation

et al. 1986

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We have investigated the restoration of electron micrographs exhibiting blurring due to drift and rotation. Blurring due to drift arises in micrographs taken of a specimen which is moving relative to the image plane. A related problem is that of rotational blurring which arises in micrographs of thin sections of helical particles viewed in cross section. The twist of the particle within the finite thickness of the section causes the image to appear rotationally blurred about the helical axis. Restoration algorithms were evaluated by applying them to the restoration of blurred model images degraded by additive Gaussian noise. Model images were also used to investigate how an incorrect estimate of the point spread function describing the blur would effect the restoration. Images were, if necessary, geometrically transformed to a space in which the point spread function of the blur can be considered as linear and space invariant as, under these conditions, the restoration algorithms are greatly simplified. In the case of the rotationally blurred images this procedure was accomplished by transforming the image to polar coordinates. The restoration techniques were successfully applied to blurred micrographs of bacteriophage T4 and crystals of catalase. The quality of the restoration was judged by comparisons of the restored images to undegraded images. Application to micrographs of rotationally blurred cross sections of helical macrofibers of sickle hemoglobin resulted in a reduction in the amount of rotational blurring.

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“…fo peut être, soit mesuré indépendamment de la prise de vue, soit estimé à partir de caractéristiques connues a priori dans l'objet observé [12]. La déconvolution est alors envisageable [12,13,14]. Malheureusement, la forme exponentielle de l'expression (11) montre que S(f) > décroît très rapidement avec la fréquence amenant Ùf) > en dessous du niveau de bruit du récepteur, ce qui rend en général peu efficace toute déconvolution.…”

Section: Traitement D'images Astronomiques Dégradéesunclassified

Traitement d'images astronomiques dégradées par des fluctuations atmosphériques

Roddier

1976

Rev. Phys. Appl. (Paris)

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Après avoir passé en revue les théories actuelles sur la formation des images astronomiques à travers la turbulence atmosphérique, on décrit diverses méthodes employées pour restaurer l'information : interférométrie, speckle-interférométrie, déconvolution. Une restauration complète de l'information est théoriquement possible par analyse statistique d'un grand nombre d'images instantanées

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Image Restoration by Removal of Random-Media Degradations*

Cited by 28 publications

References 13 publications

A Study of the Fourier Transform Method of Image Restoration

A Study of the Fourier Transform Method of Image Restoration

The restoration of electron micrographs blurred by drift and rotation

Traitement d'images astronomiques dégradées par des fluctuations atmosphériques

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