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- W2106956798 abstract "We consider the problem of detecting edges—jump discontinuities in piecewise smooth functions from their N-degree spectral content, which is assumed to be corrupted by noise. There are three scales involved: the “smoothness scale of order $1/N$, the noise scale of order $sqrt{eta}$, and the $mathcal{O}(1)$ scale of the jump discontinuities. We use concentration factors which are adjusted to the standard deviation of the noise $sqrt{eta} gg 1/N$ in order to detect the underlying $mathcal{O}(1)$-edges, which are separated from the noise scale $sqrt{eta} ll 1$." @default.
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- W2106956798 date "2008-01-01" @default.
- W2106956798 modified "2023-09-23" @default.
- W2106956798 title "Recovery of Edges from Spectral Data with Noise—A New Perspective" @default.
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- W2106956798 doi "https://doi.org/10.1137/070689899" @default.
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