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Abstract: This paper reviews a significant component of the rich field of statistical multiresolution (MR) modeling and processing. These MR-methods have found application and permeated the literature of a widely scattered set of disciplines, and one of our principal objectives is to present a single, coherent picture of this framework. A second goal is to describe how this topic fits into the even larger field of MR methods and concepts - in particular making ties to topics such as wavelets and... (Update)
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BibTeX entry: (Update)
A. S. Willsky, Multiresolution Markov models for signal and image processing, Proceedings of the IEEE 90 (8) (2002) 1396-1458. 33 http://citeseer.ist.psu.edu/willsky02multiresolution.html More
@misc{ willsky02multiresolution,
author = "A. Willsky",
title = "Multiresolution Markov models for signal and image processing",
text = "A. S. Willsky, Multiresolution Markov models for signal and image processing,
Proceedings of the IEEE 90 (8) (2002) 1396-1458. 33",
year = "2002",
url = "citeseer.ist.psu.edu/willsky02multiresolution.html" }
Citations (may not include all citations):
2528
Maximum likelihood from incomplete data via the EM algorithm (context) - Dempster, Laird et al. - 1977
2441
Johns Hopkins University Press (context) - Golub, Van Loan - 1996
1543
Probabilistic Reasoning in Intelligent Systems: Networks of .. (context) - Pearl - 1988
1526
Ten Lectures on Wavelets (context) - Daubechies - 1992
1362
A tutorial on hidden Markov models and selected applications.. (context) - Rabiner - 1989
695
Robot Vision (context) - Horn - 1986
682
Embedded image coding using zerotrees of wavelet coe#cients
- Shapiro - 1993
526
Spatial interaction and the statistical analysis of lattice .. (context) - Besag - 1974
519
A Wavelet Tour of Signal Processing (context) - Mallat - 1998
519
System Identification: Theory for the User (context) - Ljung - 1999
471
and Stochastic Processes (context) - Papoulis, Random - 1991
437
The Laplacian pyramid as a compact image code
- Burt, Adelson - 1983
416
the statistical analysis of dirty pictures (context) - Besag - 1986
360
Entropy-based algorithms for best basis selection
- Coifman, Wickerhauser - 1992
313
The Viterbi algorithm (context) - Forney - 1973
304
Statistics for Long-Memory Processes (context) - Beran - 1994
297
Fast wavelet transforms and numerical algorithms (context) - Beylkin, Coifman et al. - 1991
284
The computational complexity of probabilistic inference usin.. (context) - Cooper - 1990
282
Wavelets and Subband Coding (context) - Vetterli, Kovacevic - 1995
267
Multi-level adaptive solutions to boundary value problems (context) - Brandt - 1977
266
Gibbs distributions and the Bayesian restoration of images (context) - Geman, Geman - 1984
245
An introduction to variational methods for graphical models
- Jordan, Ghahramani et al. - 1998
244
Theory and Practice of Recursive Identification (context) - Ljung, Soderstrom - 1983
227
Adapting to unknown smoothness via wavelet shrinkage
- Donoho, Johnstone - 1995
209
Optimal approximation by piecewise smooth functions and asso.. (context) - Mumford, Shah - 1989
208
Approximating discrete probability distributions with depend.. (context) - Chow, Liu - 1968
194
Atomic decomposition by basis pursuit
- Chen, Donoho - 1995
193
Shiftable multiscale transforms
- Simoncelli, Freeman et al. - 1992
175
Graphical Models (context) - Lauritzen - 1996
160
Exactly Solved Models in Statistical Mechanics (context) - Baxter - 1990
151
Factorial hidden Markov models
- Ghahramani, Jordan - 1997
150
Wavelet-based statistical signal processing using hidden Mar..
- Crouse, Nowak et al. - 1998
149
Graphical Models in Applied Multivariate Statistics (context) - Whittaker - 1990
140
Fundamentals of Statistical Signal Processing: Estimation Th.. (context) - Kay - 1993
127
Digital Image Restoration (context) - Andrews, Hunt - 1977
124
Ill-posed problems in early vision (context) - Bertero, Poggio et al. - 1988
119
Simple linear-time algorithms to test chordality of graphs (context) - Tarjan, Yannakakis - 1984
118
A generalized Gaussian image model for edge-preserving MAP e..
- Bouman, Sauer - 1993
116
Probabilistic solution of ill-posed problems in computationa.. (context) - Marroquin, Mitter et al. - 1987
115
Graphical Models for Machine Learning and Digital Communicat.. (context) - Frey - 1998
113
Tractable inference for complex stochastic processes
- Boyen, Koller - 1998
110
Bayesian Modeling of Uncertainty in Low-level Vision (context) - Szeliski - 1989
110
Nested dissection of a regular finite element mesh (context) - George - 1973
110
Learning in Graphical Models (context) - Jordan - 1998
109
Image coding based on mixture modeling of wavelet coe#cients..
- LoPresto, Ramchandran et al. - 1997
109
A multifractal wavelet model with application to network tra..
- Riedi, Crouse et al. - 1999
105
Probabilistic independence networks for hidden Markov probab..
- Smyth, Heckerman et al. - 1997
102
A multiscale random field model for Bayesian image segmentat..
- Bouman, Shapiro - 1994
99
Introduction to Spectral Analysis (context) - Stoica, Moses - 1997
99
Nonlinear solution of linear inverse problems by wavelet-vag..
- Donoho - 1995
95
Wavelet thresholding via a Bayesian approach
- Abramovich, Sapatinas et al. - 1998
94
Wavelet analysis and synthesis of fractional Brownian motion (context) - Flandrin - 1992
90
Adaptive Bayesian wavelet shrinkage (context) - Chipman, Kolaczyk et al. - 1997
86
Multiple resolution segmentation of textured images
- Bouman, Liu - 1991
85
Rapid solution of integral equations of classical potential .. (context) - Rokhlin - 1985
84
Image analysis using multigrid relaxation methods (context) - Terzopoulos - 1986
84
Noise removal via Bayesian wavelet coring
- Simoncelli, Adelson - 1996
82
Generalized belief propagation
- Yedidia, Freeman et al. - 2001
81
Stable Non-Gaussian Random Processes: Stochastic Models with.. (context) - Samorodnitsky, Taqqu - 1994
79
Multiresolution sampling procedures for analysis and synthes..
- DeBonet - 1997
78
Translation invariant denoising (context) - Coifman, Donoho - 1995
77
Nonserial Dynamic Programming (context) - Bertele, Brioschi - 1972
72
Image compression via joint statistical characterization in ..
- Buccigrossi, Simoncelli - 1999
68
Image analysis with partially ordered Markov models (context) - Cressie, Davidson - 1998
68
Fractal-based description of natural scenes (context) - Pentland - 1984
68
Exploiting tractable substructures in intractable networks
- Saul, Jordan - 1995
65
Society for Industrial and Applied Mathematics (context) - Briggs, Tutorial - 1987
64
Modeling and estimation of multiresolution stochastic proces.. (context) - Basseville, Benveniste et al. - 1992
64
Nonlinear wavelet shrinkage with Bayes rule and Bayes factor..
- Vidakovic - 1998
63
The generalized distributive law (context) - Aji, McEliece - 2000
63
Investigations of multigrid algorithms for the estimation of.. (context) - Enkelmann - 1988
61
Decomposition by clique separators (context) - Tarjan - 1985
60
Multiple shrinkage and subset selection in wavelets
- Clyde, Parmigiani et al. - 1998
60
Analysis of multiresolution image denoising schemes using a ..
- Moulin, Liu - 1999
57
Iterative decoding of compound codes by probability propagat..
- Kschischang, Frey - 1998
55
Multiscale minimization of global energy functions in some v.. (context) - Heitz, Perez et al. - 1994
55
Classification of textures using Gaussian Markov random fiel.. (context) - Chellappa, Chatterjee - 1985
55
Valuation-based systems for Bayesian decision analysis (context) - Shafer, Shenoy - 1992
50
Multiscale representations of Markov random fields
- Luettgen, Karl et al. - 1993
49
belief propagation (context) - McEliece, MacKay et al. - 1998
46
A renormalization group approach to image processing problem.. (context) - Gidas - 1989
45
Dynamic model of visual recognition predicts neural response..
- Rao, Ballard - 1997
45
Unsupervised texture segmentation using Markov random field .. (context) - Manjunath, Chellappa - 1991
45
Bayesian denoising of visual images in the wavelet domain
- Simoncelli - 1999
45
Direct Methods for Sparse Matrices (context) - Du, Erisman et al. - 1987
44
Correctness of local probability propagation in graphical mo..
- Weiss - 2000
43
Statistics of natural images and models
- Huang, Mumford - 1999
43
Applications of a general propagation algorithm for probabil.. (context) - Dawid - 1992
42
Likelihood calculation for a class of multiscale stochastic ..
- Luettgen, Willsky - 1995
41
Noise reduction using an undecimated discrete wavelet transf..
- Lang, Guo et al. - 1996
40
Wavelet decomposition approaches to statistical inverse prob..
- Abramovich, Silverman - 1998
39
Height and gradient from shading
- Horn - 1990
37
Simple parallel hierarchical and relaxation algorithms for s.. (context) - Cohen, Cooper - 1987
37
Statistical models for images: Compression (context) - Simoncelli - 1997
37
Spatially adaptive wavelet thresholding with context modelin..
- Chang, Yu et al. - 1998
35
Correctness of belief propagation in Gaussian graphical mode..
- Weiss, Freeman - 2000
33
Self-similar error clusters in communication systems and the.. (context) - Mandelbrot - 1965
31
the optimality of solutions of the max-product belief propag..
- Freeman, Weiss - 2001
30
From HMM's to segment models: A unified view of stochastic m.. (context) - Ostendorf, Digalakis et al. - 1996
30
the spectrum of fractional Brownian motion (context) - Flandrin - 1989
30
Spatially adaptive wavelet-based multiscale image restoratio.. (context) - Banham, Katsaggelos - 1996
30
Positive definite completions of partial Hermitian matrices (context) - Grone, Johnson et al. - 1984
30
On stationary processes in the plane (context) - Whittle - 1954
30
Fractal estimation from noisy data via discrete fractional G.. (context) - Kaplan, Kuo - 1993
29
Markovian representation of stochastic processes by canonica.. (context) - Akaike - 1975
28
Learning with mixtures of trees
- Meila - 1998
28
Segmentation and estimation of image region properties throu.. (context) - Burt, Hong et al. - 1981
28
Estimation of fractal signals from noisy measurements using .. (context) - Wornell, Oppenheim - 1992
27
Maximum likelihood estimates of linear dynamic systems (context) - Rauch, Tung et al. - 1965
25
A nonparametric multiscale statistical model for natural ima..
- DeBonet, Viola - 1997
24
Multiresolution optimal interpolation and statistical analys..
- Willsky, optimal et al. - 1995
24
Two-dimensional discrete Markovian fields (context) - Woods - 1972
24
Bayes' smoothing algorithms for segmentation of binary image.. (context) - Derin, Elliott et al. - 1984
24
The mean field theory in EM procedures for Markov random fie.. (context) - Zhang - 1992
24
Unsupervised parallel image classification using Markovian m..
- Kato, Zerubia et al. - 1999
23
Low-complexity image denoising based on statistical modeling..
- Mihcak, Kozintsev et al. - 1999
23
Classification of rotated and scaled textured images using G.. (context) - Cohen, Fan et al. - 1991
23
Estimating dependency structure as a hidden variable
- Meila, Jordan - 1997
21
Time-invariant orthonormal wavelet representations
- Pesquet, Krim et al. - 1964
21
Image processing with complex wavelets
- Kingsbury - 1999
21
A wavelet-based method for multiscale tomographic reconstruc..
- Bhatia, Karl et al. - 1996
20
Team decision theory and information structures in optimal c.. (context) - Ho, Chu - 1972
20
the approximation of free discontinuity problems (context) - Ambrosio, Tortorelli - 1992
20
Stochastic theory of minimal realizations (context) - Akaike - 1974
20
Team decision theory and information structures in optimal c.. (context) - Ho, Chu - 1972
19
Minimax description length for signal denoising and optimize.. (context) - Krim, Schick - 1999
19
Hierarchical Bayesian space-time models
- Wikle, Berliner et al. - 1998
19
Multiscale segmentation and anomaly enhancement of SAR image.. (context) - Fosgate, Krim et al. - 1997
18
The geometry of turbo-decoding dynamics (context) - Richardson - 2000
17
Texture mixing and texture movie synthesis using statistical.. (context) - Bar-Joseph, El-Yaniv et al. - 2001
17
Multiscale modeling and estimation of Poisson processes with..
- Timmermann, Nowak - 1999
16
Optimal decomposition by clique separators (context) - Leimer - 1993
16
Multiresolution tomographic reconstruction using wavelets (context) - Delaney, Bresler - 1995
16
Upper Saddle River (context) - Kailath, Sayed et al. - 1999
16
Bayesian multi-scale models for Poisson processes (context) - Kolaczyk - 1999
16
Balanced approximations of stochastic systems (context) - Arun, Kung - 1990
16
Multiresolution image classification by hierarchical modelin..
- Li, Gray et al. - 2000
15
An overlapping tree approach to multiscale stochastic modeli..
- Irving, Fieguth et al. - 1997
15
Embedded wavelet image compression based on a joint probabil..
- Simoncelli, Buccigrossi - 1997
15
A wavelet shrinkage approach to tomographic image reconstruc..
- Kolaczyk - 1990
15
Multiscale image segmentation using wavelet-domain hidden Ma..
- Choi, Baraniuk - 2001
14
Linear estimation of boundary value stochastic processes par.. (context) - Adams, Willsky et al. - 1984
14
Random cascades on wavelet trees and their use in modeling n.. (context) - Wainwright, Simoncelli et al. - 2001
14
Linear estimation of boundary value stochastic processes par.. (context) - Adams, Willsky et al. - 1984
14
Multiscale recursive estimation (context) - Chou, Willsky et al. - 1994
13
Linear inverse and ill-posed problems (context) - Bertero - 1989
13
Tree-based modeling and estimation of Gaussian processes on ..
- Wainwright, Sudderth et al. - 2000
13
An Introduction to Probabilistic Graphical Models (context) - Jordan - 2002
12
Solution of inverse problems in image processing by wavelet .. (context) - Wang, Zhang et al. - 1995
12
Multiresolution Gauss-Markov random field models for texture.. (context) - Krishnamachari, Chellappa - 1997
12
Signal Processing with Fractals (context) - Wornell - 1996
12
Texture classification using features derived from random fi.. (context) - Kashyap, Chellappa et al. - 1982
12
The wavelet transform of stochastic processes with stationar.. (context) - Masry - 1993
12
Fractal estimation using models on multiscale tress
- Fieguth, Willsky - 1996
12
Restriction of a Markov random field on a graph and multires..
- Perez, Heitz - 1996
12
A multiresolution methodology for signal-level fusion and da.. (context) - Daniel, Willsky - 1997
12
Approximating discrete probability distributions with decomp.. (context) - Malvestuto - 1991
11
Image denoising using a local Gaussian scale mixture model i..
- Strela, Portilla et al. - 2000
11
A hierarchical Markov random field model and multitemperatur.. (context) - Kato, Berthod et al. - 1996
11
The factored frontier algorithm for approximate inference in..
- Murphy, Weiss - 2001
11
Gaussian Markov random fields at multiple resolutions (context) - Lakshmanan, Derin - 1993
11
Sequential filtering for multi-frame visual reconstruction (context) - Chin, Karl et al. - 1992
10
Multiscale Bayesian segmentation using a trainable context m..
- Cheng, Bouman - 2001
10
A non-homogeneous MRF model for multiresolution Bayesian est..
- Saquib, Bouman et al. - 1996
10
the stochastic realization problem (context) - Lindquist, Picci - 1975
10
Bayesian Inference in Wavelet-Based Models (context) - Muller, Vidakovic - 1999
10
Texture recognition using a nonparametric multiscale statist.. (context) - DeBonet, Viola - 1998
10
Kalman filtering and Riccati equations for descriptor system.. (context) - Nikoukhah, Willsky et al. - 1992
10
Parallel visual motion analysis using multiscale Markov rand.. (context) - Heitz, Perez et al. - 1991
10
Which stochastic models allow Baum-Welch training (context) - Lucke - 1996
10
Maximum likelihood bounded tree-width Markov networks
- Srebro - 2001
9
Multigrid bayesian estimation of image motion fields using s.. (context) - Konrad, Dubois - 1988
9
Multiscale smoothing error models
- Luettgen, Willsky - 1995
9
Parameter estimation of dependence tree models using the EM .. (context) - Ronen, Rohlicek et al. - 1995
9
Modeling and estimation of discrete-time Gaussian reciprocal.. (context) - Levy, Frezza et al. - 1990
9
The modeling and estimation of statistically self-similar pr.. (context) - Daniel, Willsky - 1999
9
Learning Markov networks: Maximum bounded tree-width graphs
- Karger, Srebro - 2001
8
Probabilistic and sequential computation of optical flow usi.. (context) - Chin, Karl et al. - 1994
8
Image reconstruction from projections under wavelet constrai.. (context) - Sahiner, Yagle - 1993
8
A statistical multiscale framework for Poisson inverse probl..
- Nowak, Kolaczyk - 2000
8
Correlation structure of the discrete wavelet coe#cients of .. (context) - Tewfik, Kim - 1992
8
Kalman filtering in two dimensions (context) - Woods, Radewan - 1977
8
Wavelet-based representations for a class of self-similar si.. (context) - Wornell, Oppenheim - 1992
8
Segmentation of textured images using a multiresolution Gaus..
- Comer, Delp - 1999
8
A multiscale approach to sensor fusion and the solution of l.. (context) - Miller, Willsky - 1995
8
Multiscale autoregressive models and wavelets
- Daoudi, Frakt et al. - 1999
8
Multiscale hidden Markov models for Bayesian image analysis
- Nowak - 1999
7
Hierarchical Markov random field models applied to image ana.. (context) - Gra, Heitz et al. - 1995
7
Random Fields on a Network: Modeling (context) - Guyon - 1995
7
Scaling images and image features via the renormalization gr.. (context) - Geiger, Kogler - 1993
7
Shift invariant wavelet-based statistical models and 1/f pro..
- Nowak - 1998
7
On denoising and best signal representation (context) - Krim, Tucker et al. - 1999
7
Regularized image restoration in multiresolution spaces (context) - Stephanakis - 1997
7
Mapping mediterranean altimeter data with multiresolution op..
- Fieguth, Menememlis et al. - 1998
6
Multiresolution analysis of a class of nonstationary process..
- Krim, Pesquet - 1995
6
Convergence of a reconstruction method for the inverse condu.. (context) - Dobson - 1992
6
A multiresolution method for distributed parameter estimatio.. (context) - Liu - 1993
6
Fundamentals of Geostatistics in Five Lessons (context) - Journel - 1989
6
Hierarchical stochastic modeling of SAR imagery for segmenta.. (context) - Kim, Krim - 1999
6
Optimal filter banks for signal reconstruction from noisy su.. (context) - Delopoulos, Kollias - 1996
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