• Publications
  • Influence
Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models
tl;dr
We show how certain nonconvex optimization problems that arise in image processing and computer vision can be restated as convex minimization problems. Expand
  • 1,022
  • 126
  • Open Access
Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization
tl;dr
In this paper, we propose a decision-based, detail-preserving restoration method for removing salt-and-pepper impulse noise. Expand
  • 977
  • 55
  • Open Access
A Variational Approach to Remove Outliers and Impulse Noise
  • M. Nikolova
  • Computer Science
  • Journal of Mathematical Imaging and Vision
  • 2004
tl;dr
We consider signal and image restoration using convex cost-functions composed of a non-smooth data-fidelity term and a smooth regularization term. Expand
  • 453
  • 39
  • Open Access
Analysis of Half-Quadratic Minimization Methods for Signal and Image Recovery
  • M. Nikolova, M. Ng
  • Mathematics, Computer Science
  • SIAM J. Sci. Comput.
  • 1 October 2005
tl;dr
We address the minimization of regularized convex cost functions which are customarily used for edge-preserving restoration and reconstruction of signals and images. Expand
  • 314
  • 34
  • Open Access
Fast Two-Phase Image Deblurring Under Impulse Noise
tl;dr
We propose a two-phase approach to restore images corrupted by blur and impulse noise by using the essentially outlier-free data. Expand
  • 144
  • 17
  • Open Access
Local Strong Homogeneity of a Regularized Estimator
  • M. Nikolova
  • Computer Science, Mathematics
  • SIAM J. Appl. Math.
  • 2000
tl;dr
This paper deals with regularized pointwise estimation of discrete signals which contain large strongly homogeneous zones, where typically they are constant, or linear, or more generally satisfy a linear equation. Expand
  • 268
  • 15
Two-phase approach for deblurring images corrupted by impulse plus gaussian noise
The restoration of blurred images corrupted with impulse noise is a difficult problem which has been considered in a series of recent papers. These papers tackle the problem by using variationalExpand
  • 149
  • 15
  • Open Access
Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction
tl;dr
In this paper, we deal with nonconvex nonsmooth minimization methods for image restoration and reconstruction. Expand
  • 182
  • 14
  • Open Access
Multiplicative Noise Removal Using L1 Fidelity on Frame Coefficients
tl;dr
We propose a method composed of several stages: we use the log-image data and apply a reasonable under-optimal hard-thresholding on its curvelet transform; then we apply a variational method where we minimize a specialized hybrid criterion composed of an ℓ1 data-fidelity to the thresholded coefficients and a Total Variation regularization (TV) term. Expand
  • 128
  • 14
  • Open Access