Compactly supported tight and sibling frames with maximum vanishing moments

[1]  I. Daubechies,et al.  Framelets: MRA-based constructions of wavelet frames☆☆☆ , 2003 .

[2]  N. Kingsbury Complex Wavelets for Shift Invariant Analysis and Filtering of Signals , 2001 .

[3]  Giuseppe Rodriguez,et al.  Spectral factorization of bi-infinite block Toeplitz matrices with applications , 2000 .

[4]  Donato Trigiante,et al.  Recent trends in numerical analysis , 2000 .

[5]  R. Gundy Low-Pass Filters, Martingales, and Multiresolution Analyses☆ , 2000 .

[6]  C. Chui,et al.  Compactly supported tight frames associated with refinable functions , 2000 .

[7]  J. Benedetto,et al.  The Theory of Multiresolution Analysis Frames and Applications to Filter Banks , 1998 .

[8]  Nick Kingsbury,et al.  The dual-tree complex wavelet transform: a new technique for shift invariance and directional filters , 1998 .

[9]  Zuowei Shen,et al.  Compactly supported tight affine spline frames in L2(Rd) , 1998, Math. Comput..

[10]  A. Ron,et al.  Affine systems inL2 (ℝd) II: Dual systems , 1997 .

[11]  A. Ron,et al.  Affine Systems inL2(Rd): The Analysis of the Analysis Operator , 1997 .

[12]  S. L. Lee,et al.  Stability and orthonormality of multivariate refinable functions , 1997 .

[13]  Les A. Piegl,et al.  The NURBS Book , 1995, Monographs in Visual Communication.

[14]  Les A. Piegl,et al.  The NURBS book (2nd ed.) , 1997 .

[15]  G. Weiss,et al.  A characterization of functions that generate wavelet and related expansion , 1997 .

[16]  G. Weiss,et al.  A First Course on Wavelets , 1996 .

[17]  David Salesin,et al.  Wavelets for computer graphics: theory and applications , 1996 .

[18]  A. Aldroubi Portraits of frames , 1995 .

[19]  Amara Lynn Graps,et al.  An introduction to wavelets , 1995 .

[20]  Zuowei Shen Affine systems in L 2 ( IR d ) : the analysis of the analysis operator , 1995 .

[21]  B. Han On Dual Wavelet Tight Frames , 1995 .

[22]  Charles K. Chui,et al.  Bessel Sequences and Affine Frames , 1993 .

[23]  I. Daubechies,et al.  Wavelets on the Interval and Fast Wavelet Transforms , 1993 .

[24]  A. Cohen,et al.  An arithmetic characterization of the conjugate quadrature filters associated to orthonormal wavelet bases , 1993 .

[25]  R. DeVore,et al.  On the construction of multivariate (pre)wavelets , 1993 .

[26]  I. Daubechies,et al.  Biorthogonal bases of compactly supported wavelets , 1992 .

[27]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[28]  W. Lawton Necessary and sufficient conditions for constructing orthonormal wavelet bases , 1991 .

[29]  F. R. Gantmakher The Theory of Matrices , 1984 .

[30]  Charles K. Chui,et al.  Cholesky factorization of positive definite bi-infinite matrices , 1982 .

[31]  W. Rheinboldt,et al.  A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered , 1973 .

[32]  Peter Lancaster,et al.  The theory of matrices , 1969 .

[33]  J. Vandergraft Spectral properties of matrices which have invariant cones , 1968 .

[34]  L. Mirsky,et al.  The Theory of Matrices , 1961, The Mathematical Gazette.

[35]  Murray Rosenblatt,et al.  A multi-dimensional prediction problem , 1958 .

[36]  M Rosenblatt,et al.  THE MULTIDIMENSIONAL PREDICTION PROBLEM. , 1957, Proceedings of the National Academy of Sciences of the United States of America.