We consider the problem of detecting edges 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 η and the O(1) scale of the jump discontinuities. We use
concentration factors which are adjusted to the noise variance, η >> 1/N,
in order to detect the underlying O(1)-edges, which are separated from the
noise scale, η << 1