Title :
Notice of Retraction
Study of bivariate affine pseudoframes of subspace associated with a generalized multiresolution analysis
Author :
Qingjiang Chen ; Yongmei Shang
Author_Institution :
Sch. of Sci., Xi´an Univ. of Arch. & Tech., Xi´an, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
Frames have become the focus of active research, both in theory and in applications. In the article, the notion of bivariate affine pseudoframes is introduced. The concept of a bivariate generalized multiresolution analysis is proposed. A new approach for designing one GMRA of Paley-Wiener subspaces of L2(R2) is developed. The sufficient condition for the existence of a class of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is obtained based on such a generalized multiresolution analysis.
Keywords :
Fourier series; Hilbert spaces; affine transforms; filtering theory; Paley-Wiener subspaces; bivariate affine pseudoframes; bivariate generalized multiresolution analysis; filter banks; pyramid decomposition scheme; Data compression; Filter bank; Fourier series; Hilbert space; Image processing; Image sampling; Multiresolution analysis; Signal processing; Signal resolution; Sufficient conditions; affine frames; bivariate; filter banks; generalized multiresolution analysis; pseudoframes;
Conference_Titel :
Computer Engineering and Technology (ICCET), 2010 2nd International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-6347-3
DOI :
10.1109/ICCET.2010.5486311
