交叉视觉皮质模型的格论分析

Mathematical comprehension of the intersecting cortical model using the lattice theory

从格论角度对有生物学背景的交叉视觉皮质模型(ICM)在图像处理中的脉冲并行传播特性进行了分析.格论中,图像为高维空间上的一个点集,ICM对图像的处理即找到一种映射关系,使点集变为偏序集.通过ICM对二值图像、灰度图像及彩色图像处理过程的分析可以得到ICM进行图像处理时脉冲并行传播特性的格论基础,为具有生物学背景的ICM图像处理应用建立了数学依据.

The lattice theory is applied to the comprehension of the pulse parallel propagation characteristic of the intersecting cortical model （ICM） in image processing. In the aspect of the lattice theory, an image is a set of points in higher dimensional space, while the ICM image processing is just to find a mapping relation ordering the points set to a semi-order set. A detailed analysis of applications of ICM to the binary image, gray image and color image processing are conducted, which leads to the validation of the lattice theory foundation for ICM image processing. It provides the mathematical support for the biological-based ICM application.