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Covariances of Linear Filter Outputs in Computer Vision
Linköping University, Department of Electrical Engineering, Computer Vision. Linköping University, The Institute of Technology.
2003 (English)Report (Other academic)
Abstract [en]

The use of linear filters, i.e. convolutions, inevitably introduces dependencies in the uncertainties of the filter outputs. Such non-vanishing covariances appear both between different positions and between the responses from different filters (even at the same position). This report describes how these covariances between the output of linear filters can be computed. We then examine the induced covariance matrices for some typical 1D and 2D filters. Finally the total noise reduction properties are examined.

Place, publisher, year, edition, pages
Linköping, Sweden: Linköping University, Department of Electrical Engineering , 2003. , 8 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2504
Keyword [en]
Linear filters, 1 D-filter, 2 D-filter
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-53386ISRN: LiTH-ISY-R-2504OAI: diva2:288311
Available from: 2010-01-20 Created: 2010-01-20 Last updated: 2014-10-08Bibliographically approved

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Computer VisionThe Institute of Technology
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ReferencesLink to record
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