三维随机图象模型及其空间关系

3D STOCHASTIC IMAGE MODEL AND ITS SPACE-INTERACTION

为了用随机的方法对三维图象进行处理 ,在二维 Markov场图象模型的基础上 ,建立了三维 Markov场图象模型。把定义在平面域上随机场的邻域系、集簇和势函数等概念推广到三维空间域 ,给出了三维邻域系、集簇的空间分布规律和势函数的具体表达式 ,解释了其空间关系和概率分布 ,从理论上解决了三维建模的问题 ,并为三维图象的计算机处理 ,提供了一种可以实际进行操作的随机方法。

In order to process a 3D image by the stochastic method based on 2D Markov Random Field(MRF), the authors proposed a 3D MRF image model. The authors extend neighbor, clique and potential function from planar domain to 3D space, define 3D random field, 3D neighbor and 3D clique, point out the position of neighbor and clique in 3D space and establish the practical expression of the potential function. The authors also explain the space interaction and probability distribution between them and not only solve the problem of 3D modeling theoretically but also propose a practical stochastic tool for 3D image computer process as well.