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Filters involving derivatives with application to reconstruction from scanned halftone images

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Authors:
  • Forchhammer, Søren ;
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    Orcid logo0000-0002-6698-8870
    Department of Photonics Engineering, Technical University of Denmark
  • Jensen, Kim S.
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    Technical University of Denmark
DOI:
10.1109/83.370673
Abstract:
This paper presents a method for designing finite impulse response (FIR) filters for samples of a 2-D signal, e.g., an image, and its gradient. The filters, which are called blended filters, are decomposable in three filters, each separable in 1-D filters on subsets of the data set. Optimality in the minimum mean square error sense (MMSE) of blended filtering is shown for signals with separable autocorrelation function. Relations between correlation functions for signals and their gradients are derived. Blended filters may be composed from FIR Wiener filters using these relations. Simple blended filters are developed and applied to the problem of gray value image reconstruction from bilevel (scanned) clustered-dot halftone images, which is an application useful in the graphic arts. Reconstruction results are given, showing that reconstruction with higher resolution than the halftone grid is achievable with blended filters
Type:
Journal article
Language:
English
Published in:
I E E E Transactions on Image Processing, 1995, Vol 4, Issue 4, p. 448-459
Keywords:
Main Research Area:
Science/technology
Publication Status:
Published
Review type:
Peer Review
Submission year:
1995
Scientific Level:
Scientific
ID:
2185782420

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