19 citations · 48 across the 18 of their papers we have counts for
Showing 2006Show all
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math.ST2006
Significant edges in the case of a non-stationary Gaussian noise
Isabelle Abraham, Romain Abraham, Agnes Desolneux +1
In this paper, we propose an edge detection technique based on some local smoothing of the image followed by a statistical hypothesis testing on the gradient. An edge point being d…
math.PR2006
Image denoising by statistical area thresholding
David Coupier, Agnès Desolneux, Bernard Ycart
Area openings and closings are morphological filters which efficiently suppress impulse noise from an image, by removing small connected components of level sets. The problem of an…
math.PR2006
A zero-one law for first-order logic on random images
David Coupier, Agnès Desolneux, Bernard Ycart
For an random image with independent pixels, black with probability and white with probability , the probability of satisfying any given first-order sent…