IBM Journal of Research and Development · 1985 · 141 citations · 5 references
Mathematical ProgrammingEngineeringEnergy MinimizationImage AnalysisSimulated AnnealingImage SmoothingComputational ImagingEdge DetectionComputational GeometryApproximation TheoryGeometric ModelingImage FormationStatistical MechanicsComputer EngineeringInverse ProblemsComputer ScienceSpatial FilteringMedical Image ComputingImage EnhancementSignal ProcessingNatural SciencesGround State
It is shown that simulated annealing, a statistical mechanics method recently proposed as a tool in solving complex optimization problems, can be used in problems arising in image processing. The problems examined are the estimation of the parameters necessary to describe a geometrical pattern corrupted by noise, the smoothing of bi-level images, and the process of halftoning a continuous-level image. The analogy between the system to be optimized and an equivalent physical system, whose ground state is sought, is put forward by showing that some of these problems are formally equivalent to ground state problems for two-dimensional Ising spin systems. In the case of low signal-to-noise ratios (particularly in image smoothing), the methods proposed here give better results than those obtained with standard techniques.
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Optimization by Simulated Annealing
Scott Kirkpatrick, C. D. Gelatt, M.P. Vecchi · Science · 1983 · 44K citations
Numerical Analysis, Large-scale Global Optimization, Computational Science +15
Equation of State Calculations by Fast Computing Machines
N. Metropolis, Arianna W. Rosenbluth, M. N. Rosenbluth et al. · The Journal of Chemical Physics · 1953 · 36.5K citations
A Contribution to the Theory of Ferromagnetism
L. W. McKeehan · Physical Review · 1925 · 72 citations