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Bandlet image estimation with model selection
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DOI：10.1016/j.sigpro.2011.01.013.png)
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Abstract
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To estimate geometrically regular images in the white noise model and obtain an adaptive near asymptotic minimaxity result, we consider a model selection based bandlet estimator. This bandlet estimator combines the best basis selection behavior of the model selection and the approximation properties of the bandlet dictionary. We derive its near asymptotic minimaxity for geometrically regular images as an example of model selection with general dictionary of orthogonal bases. This paper is thus also a self-contained tutorial on model selection with orthogonal bases dictionary. (C) 2011 Elsevier B.V. All rights reserved.
Keywords:
Model selection
White noise model
Image estimation
Geometrically regular functions
Bandlets
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