A new unsupervised algorithm for image segmentation based on an inhomogeneous Markov random field model;

Recognition of multiple 3-D objects based on Markov random field models;

Region tracking algorithm based on hidden Markov random field;

In the MAP super-resolution image reconstruction algorithm, the image discontinuities and details can be preserved better if Huber-Markov Random Fields (HMRF) is used as prior models compared with Gaussian prior models.

According to random field theory,this paper gets the formula to confirm statistic characteristics of cement spraying s bearing capacity by using static cone penetration resistance force,calculates the reliable index of cement spraying s bearing capacity combined with practical engineering,analyzes the factors influenced the index,and finally gets the reliable index.

Based on random field theory of soil profile,the characteristics of one-dimensional probabilistic consolidation are analyzed by Monte-Carlo simulation combined with the modeling coefficient of consolidation cv as a spatially lognormal distribution random field which can be described by the mean value,coefficient of variation and correlation distance.

Two modeling methods of soil profiles are compared,and a statistical method of soil variability based on the random field theory is recommended.