# Image Sharpening by Flows Based on Triple Well Potentials

Article

DOI: 10.1023/B:JMIV.0000011320.81911.38

- Cite this article as:
- Gilboa, G., Sochen, N. & Zeevi, Y.Y. Journal of Mathematical Imaging and Vision (2004) 20: 121. doi:10.1023/B:JMIV.0000011320.81911.38

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## Abstract

Image sharpening in the presence of noise is formulated as a non-convex variational problem. The energy functional incorporates a gradient-dependent potential, a convex fidelity criterion and a high order convex regularizing term. The first term attains local minima at zero and some high gradient magnitude, thus forming a triple well-shaped potential (in the one-dimensional case). The energy minimization flow results in sharpening of the dominant edges, while most noisy fluctuations are filtered out.

image filteringimage enhancementimage sharpeningnonlinear diffusionhyper-diffusionvariational image processing

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© Kluwer Academic Publishers 2004