David L. Donoho

most citedDoes median filtering truly preserve edges better than linear filtering?

251 citations · 322 across the 3 of their papers we have counts for

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math.ST2006★ 251 cited

Does median filtering truly preserve edges better than linear filtering?

Ery Arias-Castro, David L. Donoho

Image processing researchers commonly assert that "median filtering is better than linear filtering for removing noise in the presence of edges." Using a straightforward large- $n$ …

math.ST2006★ 41 cited

Adaptive multiscale detection of filamentary structures in a background of uniform random points

Ery Arias-Castro, David L. Donoho, Xiaoming Huo

We are given a set of $n$ points that might be uniformly distributed in the unit square $[0, 1]^{2}$ . We wish to test whether the set, although mostly consisting of uniformly scattere…