交叉视觉皮质模型的格论分析

J4 ›› 2009, Vol. 36 ›› Issue (6): 1120-1125.

交叉视觉皮质模型的格论分析

高山;毕笃彦

(空军工程大学工程学院，陕西西安 710038)

收稿日期:2009-04-16 出版日期:2009-12-20 发布日期:2010-01-20
通讯作者: 高山
作者简介:高山(1983-)，女，空军工程大学博士研究生，E-mail: gaoshan1114@126.com．
基金资助:
863基金资助(2007AA701206)

Mathematical comprehension of the intersecting cortical model using the lattice theory

GAO Shan;BI Du-yan

(Engineering College, Air Force Engineering Univ., Xi'an 710038， China)

Received:2009-04-16 Online:2009-12-20 Published:2010-01-20
Contact: GAO Shan

摘要/Abstract

摘要：

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．

关键词: 格论, 交叉视觉皮质模型(ICM), 彩色图像, 矢量排序

Abstract:

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.

Key words: lattice theory, intersecting cortical model (ICM), color image, vector ordering

中图分类号:

TN911.73

高山;毕笃彦. 交叉视觉皮质模型的格论分析[J]. J4, 2009, 36(6): 1120-1125.

GAO Shan;BI Du-yan. Mathematical comprehension of the intersecting cortical model using the lattice theory[J]. J4, 2009, 36(6): 1120-1125.

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