Image restoration using the chiral Potts spin glass.
Image restoration using the chiral Potts spin glass.
复制标题
使用手性波茨自旋玻璃进行图像修复。
DOI：
10.1103/physreve.60.2547
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
J. Inoue Ji
中科院分区：
文献类型：
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作者：
D. M. Carlucci;J. Inoue Ji
利用随机手征q态Potts模型研究了图像重建问题，该模型的哈密顿量与通常的Ising自旋玻璃模型具有相同的规范不变性.我们表明，通过Potts变量的像素表示是适合的灰度级图像，不能表示的伊辛模型。我们发现，红外质量大大提高了玻璃项的存在下，除了通常的铁磁项下的随机外场，最近指出的西森和黄。我们给出了q=3的无限程模型的精确解，即三个灰度级的情况。为了检验我们的分析结果和我们的模型的效率，二维蒙特卡罗模拟已经进行了现实世界的图片与三个和八个灰度级。
We report on the image reconstruction (IR) problem by making use of the random chiral q-state Potts model, whose Hamiltonian possesses the same gauge invariance as the usual Ising spin glass model. We show that the pixel representation by means of the Potts variables is suitable for the gray-scale level image which cannot be represented by the Ising model. We find that the IR quality is highly improved by the presence of a glassy term, besides the usual ferromagnetic term under random external fields, as very recently pointed out by Nishimori and Wong. We give the exact solution of the infinite range model with q=3, the three-gray-scale-level case. In order to check our analytical result and the efficiency of our model, two-dimensional Monte Carlo simulations have been carried out on real-world pictures with three and eight gray-scale levels.