This paper addresses the aliasing error in multiresolution analysis associated with a 2× 2 dilation expression of the Fourier transform of the aliasing error optimal L^2(R^2)-norm estimation of the aliasing err...This paper addresses the aliasing error in multiresolution analysis associated with a 2× 2 dilation expression of the Fourier transform of the aliasing error optimal L^2(R^2)-norm estimation of the aliasing error. the setting of a class of bidimensional matrix of determinant ±2. The explicit is established, from which we obtain an展开更多
基金Supported by the National Natural Science Foundation of China (10671008)Beijing Natural Science Foundation (1092001)+2 种基金the Scientific Research Common Program of Beijing Municipal Commission of Educationthe Scientific Research Foundation for the Returned Overseas Chinese ScholarsState Education Ministry (SRF for ROCS, SEM)
文摘This paper addresses the aliasing error in multiresolution analysis associated with a 2× 2 dilation expression of the Fourier transform of the aliasing error optimal L^2(R^2)-norm estimation of the aliasing error. the setting of a class of bidimensional matrix of determinant ±2. The explicit is established, from which we obtain an