Estimating the joint spectral radius of a nonseparable multiwavelet
The joint spectral radius ρ of 2 matrices is related to the boundedness of all their products. Calculating ρ is known to be NP-hard. In this work we estimate the joint spectral radius associated to a bidimensional separable multiwavelet, in order to analyze its Hölder continuity. To the author'...
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| Formato: | Acta de conferencia Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
IEEE Computer Society
2003
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 07501caa a22007697a 4500 | ||
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| 001 | PAPER-12705 | ||
| 003 | AR-BaUEN | ||
| 005 | 20240513203847.0 | ||
| 008 | 190411s2003 xx ||||fo|||| 10| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84945184513 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Ruedin, A.M.C. | |
| 245 | 1 | 0 | |a Estimating the joint spectral radius of a nonseparable multiwavelet |
| 260 | |b IEEE Computer Society |c 2003 | ||
| 270 | 1 | 0 | |m Ruedin, A.M.C.; Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos AiresArgentina |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Heil, C., Colella, D., (1994) Dilation Equations and the Smoothness of Compactly Supported Wavelets, , J. Benedetto and M. Frazier, editors, CRC Press | ||
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| 504 | |a Ruedin, A., Nonseparable orthogonal multiwavelets with 2 and 3 vanishing moments on the quincunx grid (1999) Proceedings 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) Proceedings of SPIE, 4119, pp. 519-527. , Wavelet Applications in Signal and Image Processing VIII, A. Aldroubi, A. Laine, M. Unser, Editors | ||
| 504 | |a Ruedin, A.M.C., Construction of nonseparable multiwavelets for nonlinear image compression (2002) Eurasip Journal of Applied Signal Processing, 2002 (1), pp. 73-79 | ||
| 504 | |a Ruedin, A.M.C., (2003) Nonseparable Multiwavelets: Construction and Applications to Image Processing, , PhD thesis, Universidad de Buenos Aires, May | ||
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| 520 | 3 | |a The joint spectral radius ρ of 2 matrices is related to the boundedness of all their products. Calculating ρ is known to be NP-hard. In this work we estimate the joint spectral radius associated to a bidimensional separable multiwavelet, in order to analyze its Hölder continuity. To the author's knowledge this has not been done. The analysis aims at testing the aplicability of the multiwavelet transform to those aspects of image processing where continuous basis functions perform best, such as image synthesis, image magnification and image compression. We adapt an algorithm due to Heil and Colella, that works for unidimensional wavelets, to our more complex setting, to prove that ρ < 1 , and show the performance of the multiwavelet for image magnification. © 2003 IEEE. |l eng | |
| 593 | |a Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a JOINT SPECTRAL RADIUS |
| 690 | 1 | 0 | |a MAGNIFICATION |
| 690 | 1 | 0 | |a MULTIWAVELET |
| 690 | 1 | 0 | |a NONSEPARABLE |
| 690 | 1 | 0 | |a IMAGE PROCESSING |
| 690 | 1 | 0 | |a BASIS FUNCTIONS |
| 690 | 1 | 0 | |a IMAGE MAGNIFICATION |
| 690 | 1 | 0 | |a IMAGE SYNTHESIS |
| 690 | 1 | 0 | |a JOINT SPECTRAL RADIUS |
| 690 | 1 | 0 | |a MAGNIFICATION |
| 690 | 1 | 0 | |a MULTI-WAVELET TRANSFORM |
| 690 | 1 | 0 | |a MULTIWAVELET |
| 690 | 1 | 0 | |a NONSEPARABLE |
| 690 | 1 | 0 | |a MATRIX ALGEBRA |
| 710 | 1 | |a Chilean Computer Science Society |4 aut |e autor | |
| 711 | 2 | |d 6 November 2003 through 7 November 2003 |g Código de la conferencia: 114193 | |
| 773 | 0 | |d IEEE Computer Society, 2003 |g v. 2003-January |h pp. 109-115 |p Proc. Int. Conf. Chilean Comput. Sci. Soc. SCCC |n Proceedings - International Conference of the Chilean Computer Science Society, SCCC |x 15224902 |z 0769520081 |t 23rd International Conference of the Chilean Computer Science Society, SCCC 2003 | |
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