UM
Multichannel interpolation of nonuniform samples with application to image recovery
Cheng,Dong1; Kou,Kit Ian2
2020-03-15
Source PublicationJournal of Computational and Applied Mathematics
ISSN0377-0427
Volume367
AbstractThe multichannel trigonometric reconstruction from uniform samples was proposed recently. It not only makes use of multichannel information about the signal but is also capable to generate various kinds of interpolation formulas according to the types and amounts of the collected samples. The paper presents the theory of multichannel interpolation from nonuniform samples. Two distinct models of nonuniform sampling patterns are considered, namely recurrent and generic nonuniform sampling. Each model involves two types of samples: nonuniform samples of the observed signal and its derivatives. Numerical examples and quantitative error analysis are provided to demonstrate the effectiveness of the proposed algorithms. Additionally, the proposed algorithms for recovering highly corrupted images are also investigated. In comparison with the median filter and the Shepard interpolation, the proposed algorithms produce superior results with lower errors.
KeywordDerivative Error analysis FFT Image recovery Interpolation Nonuniform sampling
DOI10.1016/j.cam.2019.112502
URLView the original
Language英语
Scopus ID2-s2.0-85072727891
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Cited Times [WOS]:3   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorKou,Kit Ian
Affiliation1.School of Mathematics and Computational Science,Wuyi University,Guangdong,Jiangmen,529020,China
2.Department of Mathematics,Faculty of Science and Technology,University of Macau,Macao
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Cheng,Dong,Kou,Kit Ian. Multichannel interpolation of nonuniform samples with application to image recovery[J]. Journal of Computational and Applied Mathematics,2020,367.
APA Cheng,Dong,&Kou,Kit Ian.(2020).Multichannel interpolation of nonuniform samples with application to image recovery.Journal of Computational and Applied Mathematics,367.
MLA Cheng,Dong,et al."Multichannel interpolation of nonuniform samples with application to image recovery".Journal of Computational and Applied Mathematics 367(2020).
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