Wedgelets: nearly minimax estimation of edges

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Wedgelets: Nearly-Minimax Estimation of Edges

We study a simple “Horizon Model” for the problem of recovering an image from noisy data; in this model the image has an edge with α-Hölder regularity. Adopting the viewpoint of computational harmonic analysis, we develop an overcomplete collection of atoms called wedgelets, dyadically organized indicator functions with a variety of locations, scales, and orientations. The wedgelet representati...

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ژورنال

عنوان ژورنال: The Annals of Statistics

سال: 1999

ISSN: 0090-5364

DOI: 10.1214/aos/1018031261