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.
Original language | English |
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Pages (from-to) | 121-131 |
Number of pages | 11 |
Journal | Journal of Mathematical Imaging and Vision |
Volume | 20 |
Issue number | 1-2 |
DOIs | |
State | Published - Jan 2004 |
Keywords
- Hyper-diffusion
- Image enhancement
- Image filtering
- Image sharpening
- Nonlinear diffusion
- Variational image processing