A new variational method for preserving point-like and curve-like singularities in 2-D images

We propose a new variational method to restore point-like and curvelike singularities in 2-D images. As points and open curves are fine structures, they are difficult to restore by means of first order derivative operators computed in the noisy image. In this paper we propose to use the Laplacian operator of the observed intensity, since it becomes singular at points and curves. Then we propose to restore these singularities by introducing suitable regularization involving the l-1-norm of the Laplacian operator. Results are shown on synthetic an real data.

• Type: Journal
• Year: 2011
• Where: ICASSP
• Authors: Daniele Graziani, Laure Blanc-Féraud, Gilles Aubert
• Keywords: ICASSP 2011, Laplacian Operator, Operator, Order Derivative Operators, Signal Processing