Inverse Problems
Journal
Articles
[27] Nikolova M., M. Ng, S.
Zhang and W-K. Ching, "Efficient reconstruction of piecewise constant images using
nonsmooth nonconvex minimization", SIAM Journal on Imaging
Sciences, vol. 1, n. 1, Mar. 2008, pp. 2-25.
(pdf)
[25] Nikolova M., ''Model distortions in Bayesian MAP
reconstruction'', AIMS Journal on Inverse Problems and Imaging, vol. 1, N.
2, 2007, pp. 399-422 (pdf)
[21] Durand S. and Nikolova M. ``Stability
of the Minimizers of Least Squares with a Non-Convex Regularization. Part I:
Local Behavior'', Journal of Applied Mathematics and Optimization, Vol. 53, n.
2, March 2006, pp. 185-208. (pdf)
[20] Durand S. and Nikolova
M. ``Stability of the Minimizers of Least Squares with a
Non-Convex Regularization. Part II: Global Behavior'', Journal of
Applied Mathematics and Optimization, Vol. 53, n. 3, May 2006, pp. 259-277.
(pdf)
[19] Haoying Fu H., M. Ng,
M. Nikolova and J. Barlow, "Efficient
minimization methods of mixed ℓ1 - ℓ1 and ℓ2
- ℓ1 norms for image restoration",
[18] Alberge F., M.
Nikolova and P. Duhamel, "Blind Identification /
Equalization using Deterministic Maximum Likelihood and a partial prior on the
input'', IEEE Trans. on Signal Processing, Vol. 54, Issue 2, Feb.
2006, pp. 724- 737. (pdf)
[15] Nikolova M., ''Analysis
of the recovery of edges in images and signals by minimizing nonconvex
regularized least-squares'', SIAM Journal on Multiscale Modeling and
Simulation, vol. 4, N. 3, 2005, pp. 960-991 (pdf)
[12] R. Peeters, P. Kornprobst, M. Nikolova, S. Sunaert, T. Vieville, G.
Malandain, R. Deriche, O. Fougeras, M. Ng and P. Hecke, "The use of
superresolution techniques to reduce slice thickness in functional MRI'', International
Journal of Imaging Systems and Technology, Vol. 14, No. 3, 2004.
[10] Nikolova M., ''Weakly
constrained minimization. Application to the estimation of images and signals
involving constant regions'', Journal of Mathematical Imaging and Vision,
no. 2, vol. 21, Sep. 2004, pp. 155-175. (pdf)
[9] Roullot E., A.
Herment, I. Bloch, A. Cesare, M. Nikolova and E. Mousseaux, "Modeling anisotropic
undersampling of magnetic resonance angiographies and reconstruction of a
high-resolution isotropic volume using half-quadratic regularization techniques'', Signal
Processing, vol. 84, 2004, pp. 743-762. (pdf)
[8] Nikolova M., ''Minimizers
of cost-functions involving non-smooth data-fidelity terms. Application to the
processing of outliers'', SIAM Journal on Numerical Analysis vol. 40,
no. 3, 2002, pp. 965-994. (pdf)
[7] Alberge F., P. Duhamel
and M. Nikolova, "Adaptive solution for blind
identification / equalization using deterministic maximum likelihood'', IEEE
Trans. on Signal Processing, vol. 50, no 4, April 2002, pp. 923-936. (pdf)
[6] Nikolova M., ''Local
strong homogeneity of a regularized estimator'', SIAM Journal on Applied
Mathematics, vol. 61, no. 2, pp. 633-658, 2000. (pdf)
[5] Nikolova M., ''Thresholding
implied by truncated quadratic regularization'', IEEE Trans. on Signal
Processing, vol. 48, Dec. 2000, pp. 3437-3450.(pdf)
[4] Nikolova M., "Markovian
reconstruction using a GNC approach'', IEEE Trans. on Image
Processing , vol. 8, no. 9, Sept. 1999, pp. 1204-1220. (pdf)
[3] Nikolova M., Idier J.
and Mohammad-Djafari A., "Inversion of large-support
ill-posed linear operators using a piecewise Gaussian MRF'', IEEE Trans. On
Image Processing, vol. 8, no. 4, pp. 571-585, April 1998. (pdf)
[1] Nikolova M. and A.
Mohammad-Djafari, "Eddy Current Tomography Using a Markov model'', Signal
Processing, vol. 49, no. 2, 1996. (ps)