Extrapolation of Incomplete Image Data with Discrete Orthogonal Transforms

Extrapolation of Incomplete Image Data with Discrete Orthogonal Transforms

In image processing and transmission, interpolation andextrapolation are of great importance whenever missing pixels have tobe filled in, and many methods have been proposed to solve thisproblem. In this paper we present a method for extrapolating themissing data with an existing set of basis functi...

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Main Authors: J. Polec, T. Karlubikova
Format: Article
Language:English
Published: Spolecnost pro radioelektronicke inzenyrstvi 2004-12-01
Series:Radioengineering
Online Access:http://www.radioeng.cz/fulltexts/2004/04_04_35_37.pdf
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spelling doaj-ca93720666f9493eb0b09efde2c736b02020-11-24T23:36:45ZengSpolecnost pro radioelektronicke inzenyrstviRadioengineering1210-25122004-12-011343537Extrapolation of Incomplete Image Data with Discrete Orthogonal TransformsJ. PolecT. KarlubikovaIn image processing and transmission, interpolation andextrapolation are of great importance whenever missing pixels have tobe filled in, and many methods have been proposed to solve thisproblem. In this paper we present a method for extrapolating themissing data with an existing set of basis functions of a selectedorthogonal transform. The best extrapolation is found according tolinear approximation theory as a weighted sum of basis functions, wherecoefficients of the sum are solutions of the derived matrix equation.www.radioeng.cz/fulltexts/2004/04_04_35_37.pdf
collection DOAJ
language English
format Article
sources DOAJ
author J. Polec
T. Karlubikova
spellingShingle J. Polec
T. Karlubikova
Extrapolation of Incomplete Image Data with Discrete Orthogonal Transforms
Radioengineering
author_facet J. Polec
T. Karlubikova
author_sort J. Polec
title Extrapolation of Incomplete Image Data with Discrete Orthogonal Transforms
title_short Extrapolation of Incomplete Image Data with Discrete Orthogonal Transforms
title_full Extrapolation of Incomplete Image Data with Discrete Orthogonal Transforms
title_fullStr Extrapolation of Incomplete Image Data with Discrete Orthogonal Transforms
title_full_unstemmed Extrapolation of Incomplete Image Data with Discrete Orthogonal Transforms
title_sort extrapolation of incomplete image data with discrete orthogonal transforms
publisher Spolecnost pro radioelektronicke inzenyrstvi
series Radioengineering
issn 1210-2512
publishDate 2004-12-01
description In image processing and transmission, interpolation andextrapolation are of great importance whenever missing pixels have tobe filled in, and many methods have been proposed to solve thisproblem. In this paper we present a method for extrapolating themissing data with an existing set of basis functions of a selectedorthogonal transform. The best extrapolation is found according tolinear approximation theory as a weighted sum of basis functions, wherecoefficients of the sum are solutions of the derived matrix equation.
url http://www.radioeng.cz/fulltexts/2004/04_04_35_37.pdf
work_keys_str_mv AT jpolec extrapolationofincompleteimagedatawithdiscreteorthogonaltransforms
AT tkarlubikova extrapolationofincompleteimagedatawithdiscreteorthogonaltransforms
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