Projection filter, Wiener filter, and Karhunen-Loève subspaces in digital image restoration
type: Item
instance of: scholarly article
title: Projection filter, Wiener filter, and Karhunen-Loève subspaces in digital image restoration
zbMATH Open document ID: 0588.94005
DOI: 10.1016/0022-247X(86)90063-6
author: Hidemitsu Ogawa
author: Erkki Oja
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: In image processing by computer, the transformation from the original continuous-domain image to the degraded and sampled discrete observation image is usually modelled as a linear transformation with additive noise. The relation between two types of filters, the Wiener filter (WF) and the projection filter (PF), for the restoration of the original image from the observation is discussed. The latter is based on the same principle as pseudoinverse filtering but also suppresses the additive noise. The PF and the WF are shown to be closely related under a condition depending on the degradation-sampling operator and the Karhunen-Loève expansion for the family of original images. The relation between the PF and the Gauss-Markov estimator is also clarified.
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 68T10
zbMATH DE Number: 3946032
zbMATH Keywords: image processing
zbMATH Keywords: additive noise
zbMATH Keywords: Karhunen-Loève expansion
zbMATH Keywords: Gauss- Markov estimator
MaRDI profile type: Publication
Wikidata QID: Q113105052
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description: scientific article; zbMATH DE number 3946032