UM  > Faculty of Science and Technology  > DEPARTMENT OF MATHEMATICS
Affiliated with RCfalse
Multichannel interpolation of nonuniform samples with application to image recovery
Cheng,Dong1; Kou,Kit Ian2
Source PublicationJournal of Computational and Applied Mathematics

The 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
URLView the original
Indexed BySCIE
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000496861400037
Scopus ID2-s2.0-85072727891
Fulltext Access
Citation statistics
Cited Times [WOS]:5   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
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,
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)
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Cheng,Dong]'s Articles
[Kou,Kit Ian]'s Articles
Baidu academic
Similar articles in Baidu academic
[Cheng,Dong]'s Articles
[Kou,Kit Ian]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Cheng,Dong]'s Articles
[Kou,Kit Ian]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.