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Author
Date
2012-07Type
- Journal Article
Abstract
In recent years anisotropic transforms like the shearlet or curvelet transform have received a considerable amount of interest due to their ability to efficiently capture anisotropic features in terms of nonlinear N-term approximation. In this paper we study tree-approximation properties of such transforms where the N-term approximant has to satisfy the additional constraint that the set of kept indices possesses a tree structure. The main result of this paper is that for shearlet- and related systems, this additional constraint does not deteriorate the approximation rate. As an application of our results we construct (almost) optimal encoding schemes for cartoon images. Show more
Publication status
publishedExternal links
Journal / series
Applied and Computational Harmonic AnalysisVolume
Pages / Article No.
Publisher
Academic PressSubject
Shearlets; Curvelets; Tree approximation; Bit rate codingOrganisational unit
03941 - Grohs, Philipp (ehemalig)
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Is new version of: https://doi.org/10.3929/ethz-a-010402052
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