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- Lasse Borup, Morten Nielsen
- Signal Processing
- 2003

- Lasse Borup, Morten Nielsen
- Journal of Approximation Theory
- 2003

- Lasse Borup, Morten Nielsen, Rémi Gribonval
- ICASSP
- 2005

In this paper we study nonlinear approximation and data representation with redundant function dictionaries. In particular, approximationwith redundant wavelet bi-frame systems is studied in detail. Several results for orthonormal wavelets are generalized to the redundant case. In general, for a wavelet bi-frame system the approximation properties are… (More)

- L Borup
- Sygeplejersken
- 1992

We study tight wavelet frame systems in Lp(R), and prove that such systems (under mild hypotheses) give atomic decompositions of L p(R) for 1 < p < . We also characterize Lp(R) and Sobolev space norms by the analysis coefficients for the frame. We consider Jackson inequalities for best mterm approximation with the systems in Lp(R) and prove that such… (More)

A construction of Triebel-Lizorkin type spaces associated with flexible decompositions of the frequency space R is considered. The class of admissible frequency decompositions is generated by a one parameter group of (anisotropic) dilations on R and a suitable decomposition function. The decomposition function governs the structure of the decomposition of… (More)

We consider best m-term approximation in Lp(R) with wave packets generated from a single refinable function. The main examples of such wave packets are orthonormal wavelets or more generally tight wavelet frames based on an MRA (so-called framelets). The approximation classes associated with best m-term approximation in Lp(R) with such wave packets are… (More)

We consider best m-term approximation in Lp(R) with wave packets generated by a single refinable function. The main examples of wave packets are orthonormal wavelets, or more generally wavelet frames based on a multiresolution analysis (so-called framelets). The approximation classes associated with best m-term approximation in Lp(R) for a large class of… (More)

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