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Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images

https://doi.org/10.1109/tpami.1984.4767596
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4684-9455-6openalex-snapshot
Denumerable Markov Chains
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Introduction to Random Fields
inferredcites →https://doi.org/10.1007/978-94-009-5755-8openalex-snapshot
The Statistical Analysis of Spatial Pattern
inferredcites →https://doi.org/10.1007/978-94-009-5819-7openalex-snapshot
Monte Carlo Methods
inferredcites →https://doi.org/10.1007/978-94-010-9054-4_16openalex-snapshot
Stochastic Relaxation Methods for Image Restoration and Expert Systems
inferredcites →https://doi.org/10.1007/bf00940812openalex-snapshot
Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm
inferredcites →https://doi.org/10.1007/bf01011718openalex-snapshot
Monte Carlo calculation of phase separation in a two-dimensional Ising system
inferredcites →https://doi.org/10.1007/bf02980577openalex-snapshot
Beitrag zur Theorie des Ferromagnetismus
inferredcites →https://doi.org/10.1016/0004-3702(81)90026-6openalex-snapshot
Cooperating processes for low-level vision: A survey
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A new algorithm for Monte Carlo simulation of Ising spin systems
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The use of Markov Random Fields as models of texture
inferredcites →https://doi.org/10.1016/0146-664x(80)90020-9openalex-snapshot
Markov mesh models
inferredcites →https://doi.org/10.1016/0146-664x(82)90040-5openalex-snapshot
Image segmentation using simple Markov field models
inferredcites →https://doi.org/10.1016/c2009-0-21955-6openalex-snapshot
Digital Picture Processing
inferredcites →https://doi.org/10.1017/s002190020010525xopenalex-snapshot
A curious binary lattice process
inferredcites →https://doi.org/10.1063/1.1699114openalex-snapshot
Equation of State Calculations by Fast Computing Machines
inferredcites →https://doi.org/10.1080/00029890.1971.11992710openalex-snapshot
Markov Random Fields and Gibbs Ensembles
inferredcites →https://doi.org/10.1090/conm/001openalex-snapshot
Markov Random Fields and Their Applications
inferredcites →https://doi.org/10.1109/icassp.1984.1172637openalex-snapshot
Application of the Gibbs distribution to image segmentation
inferredcites →https://doi.org/10.1109/proc.1972.8787openalex-snapshot
Two-dimensional Bayesian estimate of images
inferredcites →https://doi.org/10.1109/proc.1978.11031openalex-snapshot
Digital image restoration
inferredcites →https://doi.org/10.1109/proc.1981.12021openalex-snapshot
Advances in mathematical models for image processing
inferredcites →https://doi.org/10.1109/t-c.1974.223969openalex-snapshot
Image Restoration, Modelling, and Reduction of Dimensionality
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The relationship between image restoration by the maximum a posteriori method and a maximum entropy method
inferredcites →https://doi.org/10.1109/tassp.1982.1163911openalex-snapshot
Digital image restoration using spatial interaction models
inferredcites →https://doi.org/10.1109/tc.1977.1674810openalex-snapshot
Bayesian Methods in Nonlinear Digital Image Restoration
inferredcites →https://doi.org/10.1109/tcom.1976.1093216openalex-snapshot
Two-Dimensional Markov Representations of Sampled Images
inferredcites →https://doi.org/10.1109/tit.1965.1053827openalex-snapshot
Classification of binary random patterns
inferredcites →https://doi.org/10.1109/tit.1972.1054786openalex-snapshot
Two-dimensional discrete Markovian fields
inferredcites →https://doi.org/10.1109/tit.1983.1056610openalex-snapshot
Estimation and choice of neighbors in spatial-interaction models of images
inferredcites →https://doi.org/10.1109/tpami.1983.4767341openalex-snapshot
Markov Random Field Texture Models
inferredcites →https://doi.org/10.1109/tpami.1983.4767390openalex-snapshot
On the Foundations of Relaxation Labeling Processes
inferredcites →https://doi.org/10.1109/tpami.1983.4767392openalex-snapshot
Multiple-Window Parallel Adaptive Boundary Finding in Computer Vision
inferredcites →https://doi.org/10.1109/tsmc.1976.4309519openalex-snapshot
Scene Labeling by Relaxation Operations
inferredcites →https://doi.org/10.1109/tssc.1968.300117openalex-snapshot
Prior Probabilities
inferredcites →https://doi.org/10.1126/science.220.4598.671openalex-snapshot
Optimization by Simulated Annealing
inferredcites →https://doi.org/10.1137/1113026openalex-snapshot
The Description of a Random Field by Means of Conditional Probabilities and Conditions of Its Regularity
inferredcites →https://doi.org/10.1364/josa.62.000055openalex-snapshot
Bayesian-Based Iterative Method of Image Restoration*
inferredcites →https://doi.org/10.1364/josa.62.000511openalex-snapshot
Restoring with Maximum Likelihood and Maximum Entropy*
inferredcites →https://doi.org/10.1525/9780520350670-013openalex-snapshot
A SPECIAL PROBLEM OF BROWNIAN MOTION, AND A GENERAL THEORY OF GAUSSIAN RANDOM FUNCTIONS
inferredcites →https://doi.org/10.2307/1403035openalex-snapshot
An Introduction to Spatial Point Processes and Markov Random Fields

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Joint Calibration of Option Pricing Models Via Particle Methods
inferred← citeshttps://doi.org/10.2139/ssrn.878266openalex-extracted
On the Shape of Posterior Densities and Credible Sets in Instrumental Variable Regression Models with Reduced Rank: An Application of Flexible Sampling Methods Using Neural Networks
inferred← citeshttps://doi.org/10.2139/ssrn.887967openalex-extracted
Incorporating Higher Moments into Financial Data Analysis
inferred← citeshttps://doi.org/10.2139/ssrn.90253openalex-extracted
inferred← citeshttps://doi.org/10.2139/ssrn.915323openalex-extracted
Can Affine Models Match the Moments in Bond Yields?
inferred← citeshttps://doi.org/10.2139/ssrn.929060openalex-extracted
On the Practice of Bayesian Inference in Basic Economic Time Series Models Using Gibbs Sampling
inferred← citeshttps://doi.org/10.2139/ssrn.937647openalex-extracted
inferred← citeshttps://doi.org/10.2139/ssrn.939542openalex-extracted
The Economic Performance of Cities: A Markov-Switching Approach
inferred← citeshttps://doi.org/10.2139/ssrn.967914openalex-extracted
Predicting the Term Structure of Interest Rates: Incorporating Parameter Uncertainty, Model Uncertainty and Macroeconomic Information
inferred← citeshttps://doi.org/10.2139/ssrn.977507openalex-extracted
Bayesian Model Averaging in the Presence of Structural Breaks
inferred← citeshttps://doi.org/10.2139/ssrn.984836openalex-extracted
An Empirical Investigation of an Intensity-Based Model for Pricing CDO Tranches
inferred← citeshttps://doi.org/10.2139/ssrn.994801openalex-extracted
Simulation Based Bayesian Econometric Inference: Principles and Some Recent Computational Advances
inferred← citeshttps://doi.org/10.3929/ethz-a-007154484openalex-extracted
Updating inflation expectations
inferred← citeshttps://doi.org/10.5281/zenodo.1056129openalex-extracted
Unsupervised Segmentation By Hidden Markov Chain With Bi-Dimensional Observed Process
inferred← citeshttps://doi.org/10.5281/zenodo.1061736openalex-extracted
Improving Image Segmentation Performance Via Edge Preserving Regularization
inferred← citeshttps://doi.org/10.5281/zenodo.1083891openalex-extracted
Neural Network Imputation In Complex Survey Design
inferred← citeshttps://doi.org/10.5281/zenodo.1126349openalex-extracted
An Estimating Parameter Of The Mean In Normal Distribution By Maximum Likelihood, Bayes, And Markov Chain Monte Carlo Methods
inferred← citeshttps://doi.org/10.5281/zenodo.1334282openalex-extracted
Color Image Segmentation Using Adaptive Spatial Gaussian Mixture Model
inferred← citeshttps://doi.org/10.5281/zenodo.1337663openalex-extracted
Brain Image Segmentation Using Conditional Random Field Based On Modified Artificial Bee Colony Optimization Algorithm
inferred← citeshttps://doi.org/10.5281/zenodo.37039openalex-extracted
Statistical Restoration Of Images Using A Hybrid Bayesian Approach
inferred← citeshttps://doi.org/10.5281/zenodo.39289openalex-extracted
A Sequential Monte Carlo Method For Blind Phase Noise Estimation And Data Detection
inferred← citeshttps://doi.org/10.6160/2016.06.03openalex-extracted
Indebted We Stand-Examining Debt Restructuring in a Currency Union
inferred← citeshttps://doi.org/10.1001/jamanetworkopen.2021.0971openalex-snapshot
Association Between Contact Precautions and Transmission of Methicillin-Resistant Staphylococcus aureus in Veterans Affairs Hospitals
inferred← citeshttps://doi.org/10.1002/(sici)1097-007x(199905/06)27:3<339::aid-cta59>3.0.co;2-aopenalex-snapshot
A new approach for ME image restoration based on CNN
inferred← citeshttps://doi.org/10.1002/(sici)1097-0258(19990815)18:15<1983::aid-sim177>3.0.co;2-bopenalex-snapshot
A Bayesian hierarchical model for multi-level repeated ordinal data: analysis of oral practice examinations in a large anaesthesiology training programme
inferred← citeshttps://doi.org/10.1002/(sici)1097-0258(19990830)18:16<2087::aid-sim186>3.0.co;2-popenalex-snapshot
Spatial smoothing of cancer survival: a Bayesian approach
inferred← citeshttps://doi.org/10.1002/(sici)1097-0258(19990915/30)18:17/18<2507::aid-sim272>3.0.co;2-jopenalex-snapshot
Some adaptive Monte Carlo methods for Bayesian inference
inferred← citeshttps://doi.org/10.1002/(sici)1097-0258(20000229)19:4<617::aid-sim360>3.0.co;2-ropenalex-snapshot
Statistical models for longitudinal biomarkers of disease onset
inferred← citeshttps://doi.org/10.1002/(sici)1097-0258(20000515)19:9<1217::aid-sim421>3.0.co;2-qopenalex-snapshot
Genetic analysis of the age at menopause by using estimating equations and Bayesian random effects models
inferred← citeshttps://doi.org/10.1002/(sici)1097-0258(20000515)19:9<1237::aid-sim481>3.0.co;2-iopenalex-snapshot
Analysing the effects of anaemia on local recurrence of head and neck cancer when covariate values are missing
inferred← citeshttps://doi.org/10.1002/(sici)1098-1063(1998)8:2<171::aid-hipo9>3.0.co;2-oopenalex-snapshot
GABAB modulation improves sequence disambiguation in computational models of hippocampal region CA3
inferred← citeshttps://doi.org/10.1002/(sici)1098-1098(2000)11:1<12::aid-ima3>3.0.co;2-nopenalex-snapshot
Image processing approaches to biological three-dimensional electron microscopy
inferred← citeshttps://doi.org/10.1002/(sici)1098-111x(200005)15:5<441::aid-int4>3.0.co;2-ropenalex-snapshot
A comparison of stochastic optimization techniques for image segmentation
inferred← citeshttps://doi.org/10.1002/(sici)1098-2272(1996)13:1<91::aid-gepi8>3.0.co;2-9openalex-snapshot
Pedigree analysis package vs. MIXD: Fitting the mixed model on a large pedigree
inferred← citeshttps://doi.org/10.1002/(sici)1098-2272(1997)14:2<199::aid-gepi8>3.0.co;2-2openalex-snapshot
Analysis of gene-smoking interaction in lung cancer
inferred← citeshttps://doi.org/10.1002/(sici)1099-0887(199807)14:7<621::aid-cnm174>3.0.co;2-uopenalex-snapshot
An adaptive finite element procedure for the image segmentation problem
inferred← citeshttps://doi.org/10.1002/(sici)1099-095x(199611)7:6<567::aid-env234>3.0.co;2-oopenalex-snapshot
TIME SERIES ANALYSIS OF BOD DATA USING THE GIBBS SAMPLER
inferred← citeshttps://doi.org/10.1002/(sici)1099-1115(199908)13:6<469::aid-acs555>3.0.co;2-oopenalex-snapshot
Quo vadis, Bayesian identification?
inferred← citeshttps://doi.org/10.1002/(sici)1099-1255(199703)12:2<99::aid-jae429>3.0.co;2-aopenalex-snapshot
NUMERICAL METHODS FOR ESTIMATION AND INFERENCE IN BAYESIAN VAR-MODELS
inferred← citeshttps://doi.org/10.1002/(sici)1099-131x(199703)16:2<65::aid-for642>3.0.co;2-3openalex-snapshot
Bayes Inference for Technological Substitution Data with Data-based Transformation
inferred← citeshttps://doi.org/10.1002/(sici)1099-131x(199709)16:5<343::aid-for665>3.0.co;2-jopenalex-snapshot
On Selecting a Power Transformation in Time-Series Analysis
inferred← citeshttps://doi.org/10.1002/(sici)1099-131x(199912)18:7<505::aid-for728>3.0.co;2-uopenalex-snapshot
Subset selection of autoregressive time series models
inferred← citeshttps://doi.org/10.1002/(sici)1520-6440(199903)82:3<10::aid-ecjc2>3.0.co;2-uopenalex-snapshot
Learning algorithm for chaotic dynamical systems that solve optimization problems
inferred← citeshttps://doi.org/10.1002/(sici)1520-6440(199908)82:8<30::aid-ecjc4>3.0.co;2-zopenalex-snapshot
Theoretical study of mean-field Boltzmann machine learning by information geometry
inferred← citeshttps://doi.org/10.1002/(sici)1520-6440(200003)83:3<84::aid-ecjc9>3.0.co;2-nopenalex-snapshot
Quantum statistical-mechanical iterative method in image restoration
inferred← citeshttps://doi.org/10.1002/(sici)1520-684x(199804)29:4<79::aid-scj8>3.0.co;2-lopenalex-snapshot
Restoration and segmentation of images by using binding processes
inferred← citeshttps://doi.org/10.1002/(sici)1520-684x(199807)29:8<57::aid-scj7>3.0.co;2-jopenalex-snapshot
Restoration of degraded images with neural networks
inferred← citeshttps://doi.org/10.1002/(sici)1520-684x(199907)30:8<61::aid-scj7>3.0.co;2-jopenalex-snapshot
Regularization using the MDL principle: estimation of regularization parameters for regions containing discontinuities
inferred← citeshttps://doi.org/10.1002/(sici)1520-684x(200002)31:2<29::aid-scj4>3.0.co;2-gopenalex-snapshot
Unsupervised segmentation of colored texture images by using multiple GMRF models and a hypothesis of merging primitives
inferred← citeshttps://doi.org/10.1002/047001153x.g308202openalex-snapshot
Functional inference from probabilistic protein interaction networks
inferred← citeshttps://doi.org/10.1002/047001153x.g409319openalex-snapshot
Gibbs sampling and bioinformatics
inferred← citeshttps://doi.org/10.1002/0470011815.b2a07029openalex-snapshot
Image Analysis and Tomography
inferred← citeshttps://doi.org/10.1002/0470011815.b2a07051openalex-snapshot
Shape Analysis
inferred← citeshttps://doi.org/10.1002/0470011815.b2a13046openalex-snapshot
Multivariate Analysis, B ayesian
inferred← citeshttps://doi.org/10.1002/0470011815.b2a14010openalex-snapshot
Computer‐Intensive Methods
inferred← citeshttps://doi.org/10.1002/0470011815.b2a14021openalex-snapshot
M arkov Chain M onte C arlo
inferred← citeshttps://doi.org/10.1002/0470011815.b2a16038openalex-snapshot
Missing Data
inferred← citeshttps://doi.org/10.1002/0470011815.b2a16040openalex-snapshot
Multiple Imputation Methods
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