Bandlet Image Estimation with Model Selection

2008/09/18 by Charles Dossal, Dossal, Charles, Erwan Le Pennec +3 · 1 citation
Computer Science · Engineering · #Advanced Image Fusion Techniques #FOS: Mathematics #Image and Signal Denoising Methods #Medical Image Segmentation Techniques #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.0809.3092

openalex publication_date 2008/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 behaviour 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.

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