Markovian reconstruction using a GNC approach

See this document in CiteSeerX!

Markovian reconstruction using a GNC approach (1994) (Make Corrections) (2 citations)
Mila NikolovaICIP (2)

View or download:
sig.enst.fr:80/~nikolova/GNCs.ps
Cached: PDF PS.gz PS Image Update Help

From: sig.enst.fr/~nikolova/publis (more)
(Enter author homepages)

Rate this article:

(best)
Comment on this article

(Enter summary)
Abstract: This paper is concerned with the reconstruction of images (or signals) from incomplete, noisy data, obtained at the output of an observation system. The solution is defined in maximum a posteriori (MAP) sense and it appears as the global minimum of an energy function joining a convex data-fidelity term and a Markovian prior energy. The sought images are composed of nearly homogeneous zones separated by edges and the prior term accounts for this knowledge. This term combines general nonconvex... (Update)

Similar documents based on text: More All
0.5: Inversion of Large-Support Ill-Posed Linear.. - Nikolova, Idier.. (1998) (Correct)
0.2: Inversion Of Large-Support Ill-Conditioned Linear.. - Nikolova.. (1994) (Correct)
0.2: MINIMIZATION HEURISTICS 22 -1 1 3 5 -1 -1 0 5 -1 -1 0 2 4 6 .. - Assume Local Gibbs (Correct)

Related documents from co-citation: More All
2: Regression shrinkage and selection via the lasso - Tibshirani - 1994
2: Visual Reconstruction (context) - Blake, Zisserman - 1987
2: Wavelet Shrinkage For Nonequispaced Samples - Cai, Brown - 1998

BibTeX entry: (Update)

, 137-166. Nikolova, M. (1999a). \Markovian reconstruction using a GNC approach", IEEE Transactions on Image Processing, http://citeseer.ist.psu.edu/nikolova94markovian.html More

@inproceedings{ nikolova94markovian,
    author = "Mila Nikolova",
    title = "Markovian Reconstruction in Computed Imaging and Fourier Synthesis",
    booktitle = "{ICIP} (2)",
    pages = "690-694",
    year = "1994",
    url = "citeseer.ist.psu.edu/nikolova94markovian.html" }

Citations (may not include all citations):
983 the art of scientific computing (context) - Press, Teukolsky et al. - 1992
548 Stochastic relaxation, Gibbs distributions, and the Bayesian.. (context) - Geman, Geman - 1984
540 Scale-space and edge detection using anisotropic diffusion (context) - Perona, Malik - 1990
510 Robust Statistics (context) - Huber - 1981
453 Visual reconstruction (context) - Blake, Zisserman - 1987
394 Solutions of Ill-Posed Problems (context) - Tikhonov, Arsenin - 1977
167 Constructing simple stable description for image partitionin.. - Leclerc - 1989
158 Regularization of inverse visual problems involving disconti.. (context) - Terzopoulos - 1986
118 A generalized Gaussian image model for edge-preserving MAP e.. - Bouman, Sauer - 1993
106 Constrained restoration and recovery of discontinuities (context) - Geman, Reynolds - 1992
103 Boundary detection by minimizing functionals (context) - Mumford, Shah - 1985
100 Deterministic edge-preserving regularization in computed ima.. (context) - Charbonnier, Blanc-F'eraud et al. - 1996
95 Principles of Computerized Tomographic Imaging (context) - Kak, Slaney - 1987
93 Parallel and deterministic algorithms from MRF's: Surface re.. (context) - Geiger, Girosi - 1991
93 Statistical methods for tomographic image reconstruction (context) - Geman, McClure - 1987
85 A local update strategy for iterative reconstruction from pr.. - Sauer, Bouman - 1993
63 Exact maximum a posteriori estimation for binary images (context) - Grieg, Porteous et al. - 1989
58 Nonlinear image recovery with half-quadratic regularization - Geman, Yang - 1995
55 A unified approach to statistical tomography using coordinat.. - Bouman, Sauer - 1996
53 Image reconstruction from projections (context) - Herman - 1980
40 Comparison of the efficiency of deterministic and stochastic.. (context) - Blake - 1989
26 the statistical analysis of dirty pictures (with discussion (context) - Besag - 1986
26 The application of constrained least squares estimation to i.. (context) - Hunt - 1973
18 Digital image processing : Towards Bayesian image analysis (context) - Besag - 1989
18 Mean-field annealing: A formalism for constructing GNC-like .. (context) - Bilbro, Snyder et al. - 1992
18 On discontinuity-adaptive smoothness priors in computer visi.. - Li - 1995
16 Simulated annealing in compound Gaussian random fields (context) - Jeng, Woods - 1990
13 Inversion of large-support ill-posed linear operators using .. - Nikolova, Idier et al. - 1998
7 Numerical solutions by the continuation method (context) - Wasserstrom - 1973
7 Recursive stochastic algorithms for global optimization in I.. (context) - Gelfand, Mitter - 1991
7 Segmentation of textured images using a multiple resolution .. (context) - Bouman, Liu - 1988
6 Image relaxation: Restoration and feature extraction (context) - Snyder, Han et al. - 1995
5 Efficient stochastic algorithms on locally bounded image spa.. (context) - Yang - 1993
4 Deterministic interactive particle models for image processi.. (context) - Marroquin - 1993
4 Superresolution of noisy band-limited data by data adaptive .. (context) - Saito - 1990
4 Graduated non-convexity algorithm for image estimation using.. (context) - Simchony, Chellappa et al. - 1989
3 Maximum Likelihood: An Introduction (context) - Le Cam - 1990
3 Mean-field approximation minimises relative entropy (context) - Bilbro, Snyder et al. - 1991
2 Collection Math'ematiques et applications (context) - Duflo, stochastiques - 1996
1 Metropolis-type annealing for global optimization in IR M (context) - Gelfand, Mitter - 1993
1 Diffusion for Global Optimization in IR n (context) - Chiang, Hwang et al. - 1987
1 Non convex regularisation and the recovery of edges (context) - Nikolova - 1995

Documents on the same site (http://sig.enst.fr/~nikolova/publis.html): More
Local Strong Homogeneity Of A Regularized Estimator - Nikolova (2000) (Correct)
Discontinuity Reconstruction From Linear Attenuating.. - Nikolova.. (1994) (Correct)
Eddy Current Tomography Using a Binary Markov Model - Nikolova, Mohammad-Djafari (1996) (Correct)

Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback

CiteSeer.IST - Copyright Penn State and NEC