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Characteristics analysis of wavelet coefficients and its applications in image compression
Fangnian Lang1; Jiliu Zhou2; Yuan Yan Tang3; Hongnian Yu4; Shuang Cang4; Zhaowei Shang5
2014-02-25
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN0219-6913
Volume12Issue:3
Other Abstract

Currently, the wavelet transform is widely used in the signal processing domain, especially in the image compression because of its excellent de-correlation property and the redundancy property included in the wavelet coefficients. This paper investigates the redundancy relationships between any two or three components of the wavelet coefficients, the wavelet bases and the original signal. We discuss those contents for every condition according to the continuous form and the discrete form, respectively, by which we also derive a uniform formula which illuminates the inherent connection among the redundancy of the wavelet coefficients, the wavelet bases and the original signals. Finally, we present the application of the wavelet coefficient redundancy property in the still image compression domain and compare the properties of the Discrete Wavelet Transform (DWT) with that of the Discrete Cosine Transform (DCT). © World Scientific Publishing Company.

KeywordJpeg2000 Sampling Theorem Wavelet Basis Wavelet Coefficient Wavelet Reproducing Kernel Function
DOIhttps://doi.org/10.1142/S0219691314500283
URLView the original
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000336657900006
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF COMPUTER AND INFORMATION SCIENCE
Corresponding AuthorFangnian Lang
Affiliation1.College of Computer Science, Chengdu University Chengdu 610106, P. R. China
2.College of Computer Science, Sichuan University Chengdu 610065, P. R. China
3.College of Science and Technology, University of Macau Macau, P. R. China
4.School of Tourism, Bournemouth University Dorset, UK
5.College of Computer Science, Chongqing University Chongqing 400044, P. R. China
Recommended Citation
GB/T 7714
Fangnian Lang,Jiliu Zhou,Yuan Yan Tang,et al. Characteristics analysis of wavelet coefficients and its applications in image compression[J]. International Journal of Wavelets, Multiresolution and Information Processing,2014,12(3).
APA Fangnian Lang,Jiliu Zhou,Yuan Yan Tang,Hongnian Yu,Shuang Cang,&Zhaowei Shang.(2014).Characteristics analysis of wavelet coefficients and its applications in image compression.International Journal of Wavelets, Multiresolution and Information Processing,12(3).
MLA Fangnian Lang,et al."Characteristics analysis of wavelet coefficients and its applications in image compression".International Journal of Wavelets, Multiresolution and Information Processing 12.3(2014).
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