Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
We relate different properties of nonseparable quincunx multiwavelet systems, such as polynomial approximation order, orthonormality and balancing, to conditions on the matrix filters. We give mathematical proofs for these relationships. The results obtained are necessary conditions on the filterban...
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| Formato: | Acta de conferencia Capítulo de libro |
| Lenguaje: | Inglés |
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2009
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 06580caa a22007097a 4500 | ||
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| 001 | PAPER-8260 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203804.0 | ||
| 008 | 190411s2009 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-70549106587 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Ruedin, A.M.C. | |
| 245 | 1 | 0 | |a Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets |
| 260 | |c 2009 | ||
| 270 | 1 | 0 | |m Ruedin, A. M. C.; Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I., Ciudad de Buenos Aires CP 1428, Argentina; email: ana.ruedin@dc.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Karoui, A., Vaillancourt, R., Nonseparable biorthogonal wavelet bases of L 2 (R n) (1999) CRM Proceedings and Lecture Notes American Math. Society, 18, pp. 135-151 | ||
| 504 | |a Ji, H., Riemenschneider, S., Shen, Z., Multivariate compactly supported fundamental refinable functions, duals and biorthogonal wavelets Studies in Applied Mathematics, , to appear | ||
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| 504 | |a Plonka, G., Strela, V., Construction of multiscaling functions with approximation and symmetry (1998) SIAM Journal of Mathematical Analysis, 29, pp. 481-510 | ||
| 504 | |a Keinert, F., (2003) Wavelets and Multiwavelets, 42. , Chapman and Hall/CRC Press, Boca Raton | ||
| 504 | |a Ghouti, L., Bouridane, A., Ibrahim, M., Improved image fusion using balanced. multiwavelets (2004) Proc. Eusipco | ||
| 504 | |a Tay, D., Kingsbury, N., Design of nonseparable 3-d filter banks wavelet bases using transformations of variables (1996) IEE VISP, 143, pp. 51-61 | ||
| 504 | |a Ruedin, A., Balanced nonseparable orthogonal multiwavelets with two and three vanishing moments on the quincunx grid (2000) Wavelet Appl. Signal Image Proc, 8, pp. 519-527. , Proc. SPIE, 4119, pp | ||
| 504 | |a Ruedin, A.M.C.: Construction of nonseparable multiwavelets for nonlinear image compression. Eurasip J. of Applied Signal Proc. 2002 (Issue 1), 73-79 (2002); Feilner, M., Van De Ville, D., Unser, M., An orthogonal family of quincunx wavelets with continuously adjustable order (2005) IEEE Transactions on Image Processing, 14, pp. 499-510 | ||
| 504 | |a Van De Ville, D., Blu, T., Unser, M., Isotropic polyharmonic b-splines: Scaling functions and wavelets (2005) IEEE Transactions on Image Processing, 14, pp. 1798-1813 | ||
| 504 | |a Chen, Y., Adams, M., Lu, W., Design of optimal quincunx filter banks for image coding (2007) EURASIP J. Appl. Signal Process, 147 | ||
| 504 | |a Ron, A., Smooth refinable functions provide good approximation orders (1997) SIAM J. Math. Anal, 28, pp. 731-748 | ||
| 504 | |a Cabrelli, C., Heil, C., Molter, U., Accuracy of lattice translates of several multidimensional refinable functions (1998) J. of Approximation Theory, 95, pp. 5-52 | ||
| 504 | |a Lebrun, J., Vetterli, M., Balanced multiwavelets: Theory and design (1998) IEEE Transactions on Signal Processing, 46, pp. 1119-1125 | ||
| 504 | |a Selesnick, I., Balanced multiwavelet bases based on symmetric fir filters (2000) IEEE Trans. on Signal Processing, 48, pp. 184-191 | ||
| 504 | |a Lebrun, J., Vetterli, M., High order balanced multiwavelets (1998) IEEE Proc. ICASSP, 3, pp. 1529-1532 | ||
| 504 | |a Ruedin, A.M.C., Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets (2007) LNCS, 4678, pp. 221-232. , Blanc-Talon, J, Philips, W, Popescu, D, Scheunders, P, eds, ACIVS 2007, Springer, HeidelbergA4 - Philips Research; DGA; The IEEE Benelux Signal Processing Chapter; Eurasip; Barco | ||
| 520 | 3 | |a We relate different properties of nonseparable quincunx multiwavelet systems, such as polynomial approximation order, orthonormality and balancing, to conditions on the matrix filters. We give mathematical proofs for these relationships. The results obtained are necessary conditions on the filterbank. This simplifies the design of such systems. © 2009 Springer Berlin Heidelberg. |l eng | |
| 593 | |a Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I., Ciudad de Buenos Aires CP 1428, Argentina | ||
| 690 | 1 | 0 | |a BALANCING |
| 690 | 1 | 0 | |a MULTIWAVELETS |
| 690 | 1 | 0 | |a NONSEPARABLE |
| 690 | 1 | 0 | |a POLYNOMIAL REPRODUCTION |
| 690 | 1 | 0 | |a QUINCUNX |
| 690 | 1 | 0 | |a MATHEMATICAL PROOF |
| 690 | 1 | 0 | |a MATRIX FILTERS |
| 690 | 1 | 0 | |a MULTI-WAVELETS |
| 690 | 1 | 0 | |a MULTIWAVELET |
| 690 | 1 | 0 | |a NONSEPARABLE |
| 690 | 1 | 0 | |a ORTHOGONALITY |
| 690 | 1 | 0 | |a COMPUTER VISION |
| 690 | 1 | 0 | |a SIGNAL RECONSTRUCTION |
| 690 | 1 | 0 | |a POLYNOMIAL APPROXIMATION |
| 711 | 2 | |c Bordeaux |d 28 September 2009 through 2 October 2009 |g Código de la conferencia: 78751 | |
| 773 | 0 | |d 2009 |g v. 5807 LNCS |h pp. 54-65 |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 3642046967 |z 9783642046964 |t 11th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2009 | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-70549106587&doi=10.1007%2f978-3-642-04697-1_6&partnerID=40&md5=a95963bd96cc1741047a2afc7171a703 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-04697-1_6 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03029743_v5807LNCS_n_p54_Ruedin |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v5807LNCS_n_p54_Ruedin |y Registro en la Biblioteca Digital |
| 961 | |a paper_03029743_v5807LNCS_n_p54_Ruedin |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 963 | |a VARI | ||
| 999 | |c 69213 | ||