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INICIO |
27 de julio de 2024
Non-separable bidimensional wavelet bases.
| Título inglés | Non-separable bidimensional wavelet bases. |
|---|---|
| Título español | Bases de ondículas bidimensionales no separables. |
| Autor/es | Cohen, Albert ; Daubechies, Ingrid |
| Organización | AT&T Bell Labs, Florham Park (New Jersey), Estados Unidos |
| Revista | 0213-2230 |
| Publicación | 1993, 9 (1): 51-137, 34 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | We build orthonormal and biorthogonal wavelet bases of L2(R2) with dilation matrices of determinant 2. As for the one dimensional case, our construction uses a scaling function which solves a two-scale difference equation associated to a FIR filter. Our wavelets are generated from a single compactly supported mother function. However, the regularity of these functions cannot be derived by the same approach as in the one dimensional case. We review existing techniques to evaluate the regularity of wavelets, and we introduce new methods which allow to estimate the smoothness of non-separable wavelets and scaling functions in the most general situations. We illustrate these with several examples. |
| Clasificación UNESCO | 120213 |
| Palabras clave español | Ondículas ; Bases ortonormales ; Matrices de dilatación ; Funciones de escala ; Filtros digitales |
| Código MathReviews | MR1216125 |
| Código Z-Math | Zbl 0792.42021 |
 Acceso al artículo completo |
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