Image Sharpening by Flows Based on Triple Well Potentials

Authors:
Guy Gilboa;Nir Sochen;Yehoshua Y. Zeevi
Affiliations:
Department of Electrical Engineering, Technion—/Israel Institute of Technology, Technion City, Haifa 32000, Israel. gilboa@tx.technion.ac.il;Department of Applied Mathematics, University of Tel-Aviv Ramat-Aviv, Tel-Aviv 69978, Israel. sochen@math.tau.ac.il;Department of Electrical Engineering, Technion—/Israel Institute of Technology, Technion City, Haifa 32000, Israel&semi/ Department of Biomedical Engineering, Columbia University, New York, N ...
Venue:
Journal of Mathematical Imaging and Vision
Year:
2004

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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.