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Bi-Exponential Edge-Preserving Smoother

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3 Author(s)
Thevenaz, P. ; Biomedical Imaging Group, École polytechnique fédérale de Lausanne, Lausanne, Switzerland ; Sage, D. ; Unser, M.

Edge-preserving smoothers need not be taxed by a severe computational cost. We present, in this paper, a lean algorithm that is inspired by the bi-exponential filter and preserves its structure—a pair of one-tap recursions. By a careful but simple local adaptation of the filter weights to the data, we are able to design an edge-preserving smoother that has a very low memory and computational footprint while requiring a trivial coding effort. We demonstrate that our filter (a bi-exponential edge-preserving smoother, or BEEPS) has formal links with the traditional bilateral filter. On a practical side, we observe that the BEEPS also produces images that are similar to those that would result from the bilateral filter, but at a much-reduced computational cost. The cost per pixel is constant and depends neither on the data nor on the filter parameters, not even on the degree of smoothing.

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Image Processing, IEEE Transactions on  (Volume:21 ,  Issue: 9 )