| Presentation | 2012-04-20 Statistical Mechanics of Phase Unwrapping Using the Q-Ising Model Yohei SAIKA, Tatsuya UEZU, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | On the basis of analogy between statistical mechanics and Bayesian inference, we constructed a method of phase unwrapping (PU) for a typical wave-front by utilizing the maximizer of the posterior marginal (MPM) estimate corresponding to the equilibrium statistical mechanics of the 3-state Q-Ising model on the square lattice. In order to clarify the performance of the present method, we estimated static property of the present method based on phase diagram of this model using the Monte Carlo simulation for the typical wave-front in adaptive optics. The simulations clarified that the present method reconstructs the original wave-front under the constraint of the surface-consistency condition and then that the prior information is useful for expanding the region where the MPM estimate reconstructs the original wave-fronts with high accuracy under the constraint of the surface-consistency condition. Also, we investigated the dynamic property of the present method based on time evolution of the mean square error. We found that the present method succeeds in reconstructing original wave-front in adaptive optics more smoothly with the increase in a parameter corresponding to the absolute temperature. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Phase Unwrapping / Statistical Mechanics of Information / Monte Carlo Simulation |
| Paper # | NLP2012-12 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2012/4/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Statistical Mechanics of Phase Unwrapping Using the Q-Ising Model |
| Sub Title (in English) | |
| Keyword(1) | Phase Unwrapping |
| Keyword(2) | Statistical Mechanics of Information |
| Keyword(3) | Monte Carlo Simulation |
| 1st Author's Name | Yohei SAIKA |
| 1st Author's Affiliation | Department of Information and Computer Engineering() |
| 2nd Author's Name | Tatsuya UEZU |
| 2nd Author's Affiliation | Department of Physics, Nara Women's University |
| Date | 2012-04-20 |
| Paper # | NLP2012-12 |
| Volume (vol) | vol.112 |
| Number (no) | 6 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |