Statistical Mechanics of Image Restoration by the Plane Rotator Model
スポンサーリンク
概要
- 論文の詳細を見る
On the basis of statistical mechanics formulation for problems of image restoration and error-correcting codes, we propose a new technique of image restoration for a binary image using the plane rotator model. In our formulation, the restored image is obtained from the equilibrium state of a ferromagnetic plane rotator model under a random field which consists of the corrupted image at finite temperature. The validity of our technique is evaluated by the dependence of overlap on the hyperparameters using the replica symmetric theory for the infinite-range model. The theory shows that our technique achieves the same optimal performance with that by the Ising spins. This statement is qualitatively confirmed by Monte Carlo simulations for two-dimensional images. Furthermore we estimate the dynamics of our technique by using Monte Carlo simulations. The simulations reveal that the convergence to the restored image is faster than that by the Ising model at low temperature.
- 社団法人日本物理学会の論文
- 2002-04-15
著者
-
Saika Yohei
Department Of Electrical Engineering Wakayama National College Of Technology
-
Nishimori Hidetoshi
Department Of Physics Tokyo Institute Of Technology
-
Nishimori Hidetoshi
Department Of Physics Facuilty Of Science Tokyo Institute Of Technology
-
SAIKA Yohei
Department of Electrical Engineering, Wakayama National College of Technology
関連論文
- Ground State of Three-Dimensional Quantum RKKY Spin Glass
- Thermodynamic Property of the Δ-Chain
- Reweighting Method for Quantum Monte Carlo Simulations with the Negative-Sign Problem
- A Numerical Study of Spin-1/2 Alternating Antiferromagnetic Heisenberg Linear Chains
- Haldane Phase and Large-D Phase of the Spin-1/2 Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chain with On-Site Anisotropy
- Nonlinear Master Equation Approach to Asymmertrica Neural Networks of the Hopfield-Hemmen Type
- Competition between the Neel and the Effective Singlet States in Spin-1/2 Alternating : Heisenberg-Ising Antiferromagnet in One Dimension
- Perturbational Method for the Numerical Evaluation of the Ground-State Energy of the Heisenberg Model
- Nontrivial Phase Behaviour in the Infinite-Range Quantum Mattis Model : General Physics
- Monte Carlo Simulation and Static and Dynamic Critical Behavior of the Plane Rotator Model
- Error Counting in a Quantum Error-correcting Code and the Ground-State Energy of a Spin Glass(General)
- Ground State Entanglement in Spin Systems
- Ground State of Quantum Spin Glass with Infinite Range Interactions
- Ground State of Antiferromagnetic Quantum Spin Systems on the Triangular Lattice
- The Spin Wave Theory in Antiferromagnetic Heisenberg Model on Face Centered Cubic Lattice
- Phase Diagram of the p-Spin-Interacting Spin Glass with Ferromagnetic Bias and a Transverse Field in the Infinite-p Limit(General)
- Duality and Multicritical Point of Two-Dimensional Spin Glasses
- Ground-State Energy of the Heisenberg Model with XY-Like Anisotropy : Condensed Matter and Statistical Physics
- More about the Ground State of Quantum Spin Systems on the Triangular Lattice
- Ground State of Quantum Spin Systems on the Triangular Lattice
- Duality of the Random Model and the Quantum Toric Code
- Convergence of Quantum Annealing with Real-Time Schrodinger Dynamics(General)
- Modified Spin Wave Theory of the Two-Dimensional Frustrated Heisenberg Model
- Statistical-Mechanical Approaches to the Problem of Phase Retrieval by the Q-Ising Model
- Phase Structure of the Random Z_q Models in 2D
- Numerical Analysis of Spin-1/2 Alternating Heisenberg-XY Antiferromagnet in One Dimension
- Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices (General)
- Internal Energy of the Potts Model on the Triangular Lattice with Two- and Three-Body Interactions(General)
- Absence of Spin Glass Ordering in Some Random Spin Systems
- Exact Ground-State Energy of the Ising Spin Glass on Strips
- Griffiths Inequalities in the Nishimori Line
- Inequalities for the Local Energy of Random Ising Models(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Note on Twisted Order in the Frustrated Quantum Heisenberg Model
- Long-Range Order in the Frustrated XXZ Model
- Competing Bond Alternations in Spin-1/2 Quantum XY Chain
- Statistical Mechanics of Image Restoration by the Plane Rotator Model
- Numerical Diagonalization of Quantum Spin Hamiltonians
- Distribution of Yang-Lee Zeros of the ±J Ising Model
- Ground-State Long-Range Order in the Two-Dimensional XXZ Model
- Long-Range Order in Antiferromagnetic Quantum Spin Systems
- Phase Diagram of the ±J Ising Model in Two Dimensions
- Phase Diagram and Critical Exponents of the ±J Ising Model in Finite Dimensions by Monte Carlo Renormalization Group
- High-Temperature Dynamics of Spin Glasses
- Microcanonical Analysis of Spin Glasses Using Gauge Symmetry
- Exact Results on the Ising Spin Glass in Finite Dimensions
- One-Dimensional Critical Exponent η as a Function of the Spin Quantum Number and Anisotropy : Progress Letters
- Geometry-Induced Phase Transtiton in the ±J Ising Model
- Quantum Effects in Neural Networks
- Magnetization Process of the Spin-1/2 Antiferromagnetic Ising-Like Heisenberg Model on the Triangular Lattice
- Internal Energy, Specific Heat and Correlation Function of the Bond-Random Ising Model
- Gauge Glass Ordering in Two Dimensions
- Exact Ground-State Energies of the Random-Field Ising Chain and Ladder(General)
- Nonequilibrium Work on Spin Glasses in Longitudinal and Transverse Fields
- Ensemble Inequivalence in the Spherical Spin Glass Model with Nonlinear Interactions
- Optimum Decoding Temperature for Error-Correcting Codes
- Boundary between the Ferromagnetic and Spin Glass Phases
- Nonequilibrium Relations for Spin Glasses with Gauge Symmetry
- Phase Structure of the Random Z_q Models in 2D
- Ground State Entanglement in Spin Systems
- Duality of the Random Model and the Quantum Toric Code
- Exact Ground-State Energies of the Random-Field Ising Chain and Ladder
- Griffiths Inequalities in the Nishimori Line
- Addendum to Phase Diagram and Critical Exponents of the $\pm J$ Ising Model in Finite Dimensions by Monte Calro Renormalization Group [56 (1987) 1568]
- Energy Gap at First-Order Quantum Phase Transitions: An Anomalous Case
- Gauge Theory for Quantum Spin Glasses(General)
- Statistical Mechanical Approach to Phase Unwrapping in Remote Sensing Using the Synthetic Aperture Radar Interferometry (The 4th Young Scientist Meeting on Statistical Physics and Information Processing in Sendai)