Construction of parametric biorthogonal wavelet filter banks with two parameters for image coding

doi:10.1007/s11760-008-0050-y

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	Construction of parametric biorthogonal wavelet filter banks with two parameters for image coding
	Liu, Zaide 2; Gao, Chengxiu 1
刊名	Signal, Image and Video Processing
	2008-09-01
卷号	2 期号:3 页码:195-206
关键词	Computational complexity Degrees of freedom (mechanics) Discrete wavelet transforms Filter banks Image compression Signal reconstruction Bi-orthogonal wavelet filter banks Biorthogonal wavelet Coding gains Compression performance Diophantine equation Multiplication free discrete wavelet transform Rational coefficients Two degrees of freedom
ISSN号	18631703
DOI	10.1007/s11760-008-0050-y
英文摘要	We had presented a simple technique, which is based on the theory of Diophantine equation, for parametrization of popular biorthogonal wavelet filter banks (BWFBs) having the linear phase and arbitrary multiplicity of vanishing moments (VMs), and constructed a type of parametric BWFBs with one free parameter [15]. Here we generalize this technique to the case of two parameters, and construct a type of parametric BWFBs with two free parameters. The closed-form parameter expressions of the BWFBs are derived, with which any two-parameter family of BWFBs having preassigned VMs can be constructed, and six families, i.e., 9/11, 10/10, 13/11, 10/14, 17/11, and 10/18 families, are considered here. Two parameters provide two degrees of freedom to optimize the resulting BWFBs with respect to other criteria. In particular, in each family, three specific rational-coefficient BWFBs with attractive features are obtained by adjusting the parameters: the first is not only very close to a quadrature mirror filter (QMF) bank, but has optimum coding gain; the second possesses characteristics that are close to the irrational BWFB with maximum VMs by Cohen et al.; and the last which has binary coefficients can realize a multiplication-free discrete wavelet transform. In addition, two BWFBs are systematically verified to exhibit performance competitive to several state-of-the-art BWFBs for image compression, and yet require lower computational costs. © 2008 Springer-Verlag London Limited.
语种	英语
出版者	Springer London
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/111909]
专题	兰州理工大学
作者单位	1.Department of Mechanical Engineering, Lanzhou Polytechnic College, Lanzhou 730050, China 2.Department of Computer Science and Engineering, Changshu Institute of Technology, Changshu 215500, China;
推荐引用方式 GB/T 7714	Liu, Zaide,Gao, Chengxiu. Construction of parametric biorthogonal wavelet filter banks with two parameters for image coding[J]. Signal, Image and Video Processing,2008,2(3):195-206.
APA	Liu, Zaide,&Gao, Chengxiu.(2008).Construction of parametric biorthogonal wavelet filter banks with two parameters for image coding.Signal, Image and Video Processing,2(3),195-206.
MLA	Liu, Zaide,et al."Construction of parametric biorthogonal wavelet filter banks with two parameters for image coding".Signal, Image and Video Processing 2.3(2008):195-206.