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	Biorthogonal Multiwavelets with Sampling Property and Application in Image Compression
	Li, Baobin ; Peng, Lizhong
	2016
关键词	Multiwavelet Biorthogonal multiwavelet Analysis-ready multiwavelet Transferring armlet order BALANCED MULTIFILTER BANKS SCALAR WAVELETS DESIGN THEOREM BASES
英文摘要	This paper discusses biorthogonal multiwavelets with sampling property. In such systems, vector-valued refinable functions act as the sinc function in the Shannon sampling theorem, and their corresponding matrix-valued masks possess a special structure. In particular, for the multiplicity , a biorthogonal multifilter bank can be reduced to two scalar-valued filters. Moreover, if the vector-valued scaling functions are interpolating, three different concepts: balancing order, approximation order and analysis-ready order, will be shown to be equivalent. Based on this result, we introduce the transferring armlet order for constructing biorthogonal balanced multiwavelets with sampling property. Also, some balanced biorthogonal multiwavelets will be obtained. Finally, application of biorthogonal interpolating multiwavelets in image compression is discussed. Experiments show that for the same length, the biorthogonal multifilter bank is superior to the orthogonal case. Moreover, certain biorthogonal interpolating multiwavelets are also better than the classical Daubechies wavelets.; NSFC [11301504]; President Fund of University of Chinese Academy of Sciences [Y25101HY00]; SCI(E); EI; ARTICLE; libb@ucas.ac.cn; lzpeng@pku.edu.cn; 3; 933-951; 35
语种	英语
出处	EI ; SCI
出版者	CIRCUITS SYSTEMS AND SIGNAL PROCESSING
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/437587]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Baobin,Peng, Lizhong. Biorthogonal Multiwavelets with Sampling Property and Application in Image Compression. 2016-01-01.

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