Recovering edges in ill-posed inverse problems: optimality of curvelet frames
نویسندگان
چکیده
منابع مشابه
Recovering Edges in Ill-Posed Inverse Problems: Optimality of Curvelet Frames
We consider a model problem of recovering a function f(x1, x2) from noisy Radon data. The function f to be recovered is assumed smooth apart from a discontinuity along a C curve – i.e. an edge. We use the continuum white noise model, with noise level ǫ. Traditional linear methods for solving such inverse problems behave poorly in the presence of edges. Qualitatively, the reconstructions are blu...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 2002
ISSN: 0090-5364
DOI: 10.1214/aos/1028674842