Journal of Mathematical Imaging and Vision

, Volume 20, Issue 1, pp 121–131

Image Sharpening by Flows Based on Triple Well Potentials

Authors

  • Guy Gilboa
    • Department of Electrical EngineeringTechnion—Israel Institute of Technology
  • Nir Sochen
    • Department of Applied MathematicsUniversity of Tel-Aviv Ramat-Aviv
  • Yehoshua Y. Zeevi
    • Department of Electrical EngineeringTechnion—Israel Institute of Technology
    • Department of Biomedical EngineeringColumbia University
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

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

Copyright information

© Kluwer Academic Publishers 2004