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

• Original Articles • Previous Articles     Next Articles

Mathematical comprehension of the intersecting cortical model using the lattice theory

GAO Shan;BI Du-yan   

  1. (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 E-mail:gaoshan1114@126.com

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

CLC Number: 

  • TN911.73