ADAPTIVE NONLINEAR IMAGE RESTORATION BY A MODIFIED KALMAN FILTERING APPROACH

dc.creatorRAJALA, SARAH ANN
dc.date.accessioned2007-05-09T19:25:42Z
dc.date.available2007-05-09T19:25:42Z
dc.date.issued1980
dc.description.abstractAn adaptive nonlinear Kalman-type filter is presented in this dissertation for the restoration of two-dimensional images degraded by general image formation system degradations and additive white noise. A vector difference equation model is used to model the degradation process. The object plane distribution function is partitioned into disjoint regions based on the amount of spatial activity in the image, and difference equation models are used to characterize the object plane distribution function. It is shown that each of the regions can be uniquely characterized by their second order statistics. The autocorrelation function for each region is then used to determine the coefficients of the difference equation model for each region. Recursive estimation techniques are applied to a composite difference equation model. If the images are to be restored for human viewing it is desirable to account for the response of the human visual system as part of the receiver characteristics. This is done by weighting the variance (sigma)('2) of the additive noise by a visibility function, where the visibility function is a subjective measure of the visibility of additive noise in an image by the human visual system. As a consequence, the resulting effective variance depends nonlinearly on the state. Two additional features are added to the new restoration filter to solve problems arising in the implementation phase. A nearest neighbor algorithm is proposed for the selection of a previously processed pixel for providing the previous state vector for the state of pixel (i,j). Secondly, a two-dimensional interpolation scheme is proposed to improve the estimates of the initial states for each region.
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS E.E. 1980 RAJALA
dc.identifier.citationRAJALA, SARAH ANN. "ADAPTIVE NONLINEAR IMAGE RESTORATION BY A MODIFIED KALMAN FILTERING APPROACH." (1980) Diss., Rice University. <a href="https://hdl.handle.net/1911/15578">https://hdl.handle.net/1911/15578</a>.
dc.identifier.urihttps://hdl.handle.net/1911/15578
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectElectronics
dc.subjectElectrical engineering
dc.titleADAPTIVE NONLINEAR IMAGE RESTORATION BY A MODIFIED KALMAN FILTERING APPROACH
dc.typeThesis
dc.type.dcmiText
thesis.degree.departmentElectrical Engineering
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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