Dilation matrices for nonseparable bidimensional wavelets
For nonseparable bidimensional wavelet transforms, the choice of the dilation matrix is all-important, since it governs the downsampling and upsampling steps, determines the cosets that give the positions of the filters, and defines the elementary set that gives a tesselation of the plane. We introd...
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Springer Verlag
2006
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| Acceso en línea: | Registro en Scopus Handle Registro en la Biblioteca Digital |
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| 100 | 1 | |a Ruedin, A. | |
| 245 | 1 | 0 | |a Dilation matrices for nonseparable bidimensional wavelets |
| 260 | |b Springer Verlag |c 2006 | ||
| 270 | 1 | 0 | |m Ruedin, A.; Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Pab. I, CP 1428, Ciudad de Buenos Aires, Argentina; email: anita@dc.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Kovacevic, J., Vetterli, M., Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn (1992) IEEE Trans. Inf. Theor., 38, pp. 533-555 | ||
| 504 | |a Cabrelli, C., Heil, C., Molter, U., Accuracy of lattice translates of several multi-dimensional refinable functions (1998) J. of Approximation Theory, 95, pp. 5-52 | ||
| 504 | |a Cabrelli, C., Heil, C., Molter, U., (1999) Polynomial Reproduction by Refinable Functions, , Ka-Sing Lau | ||
| 504 | |a Ruedin, A.M.C., Construction of nonseparable multiwavelets for nonlinear image compression (2002) Eurasip J. of Applied Signal Proc., 2002 (1), pp. 73-79 | ||
| 504 | |a Heil, C., Colella, D., (1994) Dilation Equations and the Smoothness of Compactly Supported Wavelets, , J. Benedetto and M. Frazier, editors, CRC Press | ||
| 504 | |a Ayache, A., Construction of non-separable dyadic compactly supported orthonormal wavelet bases L2(R2) of arbitrarily high regularity (1999) Revista Mat. Iberoamericana, 15, pp. 37-58 | ||
| 504 | |a Kovacevic, J., Vetterli, M., New results on multidimensional filter banks and wavelets (1993) Proc. IEEE Int. Symposium on Circuits and Systems | ||
| 504 | |a He, W., Lai, W., Examples of bivariate non-separable continuous compactly supported orthonormal wavelets (2000) IEEE Trans. on Image Processing, 9, pp. 949-953 | ||
| 504 | |a Faugère, J.C., De Saint-Martin, F.M., Rouillier, F., Design of regular nonseparable bidimensional wavelets using grobner basis techniques (1998) IEEE Trans. on Signal Processing, 46, pp. 845-856 | ||
| 504 | |a Belogay, E., Wang, Y., Arbitrarily smooth orthogonal nonseparable wavelets in R2 (1999) SIAM J. Math. Anal., 30, pp. 678-697 | ||
| 504 | |a Ruedin, A., Nonseparable orthogonal multiwavelets with 2 and 3 vanishing moments on the quincunx grid (1999) Proc. SPIE Wavelet Appl. Signal Image Proc. VII, 3813, pp. 455-466 | ||
| 504 | |a Ruedin, A.M.C., Balanced nonseparable orthogonal multiwavelets with two and three vanishing moments on the quincunx grid (2000) Proc. SPIE, 4119, pp. 519-527. , Wavelet Appl. Signal Image Proc. VIII | ||
| 504 | |a Entezari, A., Moller, T., Vaisey, J., Subsampling matrices for wavelet decompositions on body centered cubic lattices (2004) IEEE Sign. Proc. Lett., 11, pp. 733-735A4 - Barco; et al.; Eurasip; Ghent University; IEEE Benelux Signal Processing University; Philips Research | ||
| 520 | 3 | |a For nonseparable bidimensional wavelet transforms, the choice of the dilation matrix is all-important, since it governs the downsampling and upsampling steps, determines the cosets that give the positions of the filters, and defines the elementary set that gives a tesselation of the plane. We introduce nonseparable bidimensional wavelets, and give formulae for the analysis and synthesis of images. We analyze several dilation matrices, and show how the wavelet transform operates visually. We also show some distorsions produced by some of these matrices. We show that the requirement of their eigenvalues being greater than 1 in absolute value is not enough to guarantee their suitability for image processing applications, and discuss other conditions. © Springer-Verlag Berlin Heidelberg 2006. |l eng | |
| 593 | |a Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Pab. I, CP 1428, Ciudad de Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a DILATION |
| 690 | 1 | 0 | |a NONSEPARABLE |
| 690 | 1 | 0 | |a QUINCUNX |
| 690 | 1 | 0 | |a WAVELET |
| 690 | 1 | 0 | |a EIGENVALUES AND EIGENFUNCTIONS |
| 690 | 1 | 0 | |a IMAGE ANALYSIS |
| 690 | 1 | 0 | |a IMAGE PROCESSING |
| 690 | 1 | 0 | |a MATHEMATICAL TRANSFORMATIONS |
| 690 | 1 | 0 | |a DILATION |
| 690 | 1 | 0 | |a DILATION MATRICES |
| 690 | 1 | 0 | |a NONSEPARABLE BIDIMENSIONAL WAVELET TRANSFORMS |
| 690 | 1 | 0 | |a QUINCUNX |
| 690 | 1 | 0 | |a ARTIFICIAL INTELLIGENCE |
| 711 | 2 | |c Antwerp |d 18 September 2006 through 21 September 2006 |g Código de la conferencia: 68381 | |
| 773 | 0 | |d Springer Verlag, 2006 |g v. 4179 LNCS |h pp. 91-102 |p Lect. Notes Comput. Sci. |n Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |x 03029743 |w (AR-BaUEN)CENRE-983 |z 3540446303 |z 9783540446309 |t 8th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2006 | |
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