灰度图像逻辑或运算CNN模板的顽健性设计

doi:10.3969/j.issn.1000-436x.2014.05.012

通信学报 ›› 2014, Vol. 35 ›› Issue (5): 88-94.doi: 10.3969/j.issn.1000-436x.2014.05.012

灰度图像逻辑或运算CNN模板的顽健性设计

张群¹,闵乐泉^1,²

¹ 北京科技大学自动化学院，北京 100083
² 北京科技大学数理学院，北京 100083

出版日期:2014-05-25 发布日期:2017-07-24
基金资助:
国家自然科学基金资助项目;高等学校博士科研专项基金资助项目

Robustness design of templates for logic OR operation CNN in gray-scale images

Qun ZHANG¹,Le-quan MIN^1,²

¹ School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China
² School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

Online:2014-05-25 Published:2017-07-24
Supported by:
The National Natural Science Foundations of China;The Ph.D. Research Funds of the University of Science and Technology

摘要/Abstract

摘要：

通过制定灰度图像的逻辑或运算法则，提出一类灰度图像逻辑或运算CNN，它可以在两幅灰度图像的对应像素点上执行逻辑或运算。对GLOGOR CNN的模板进行顽健性分析，建立了一个定理，并给出严格的数学证明。只要模板参数满足定理中给出的参数不等式，CNN就能执行逻辑或运算的任务。数值模拟验证了GLOGOR CNN在应用中的有效性及顽健性设计定理的可行性。

关键词: 细胞神经网络, 灰度图像, 逻辑或运算, 顽健性设计

Abstract:

A kind of gray-scale logic OR operation (GLOGOR) CNN was proposed by formulating the logic OR algo-rithms for gray-scale images. It could perform a pixel-wise logic OR operation on corresponding elements of two gray-scale images. A theorem was established to design the robustness template parameters of GLOGOR CNN, and a ri-gorous mathematical proof was given. The theorem provided parameter inequalities for determining parameter intervals to implement the corresponding tasks. The simulation results illustrate the effectiveness of the methodology.

Key words: CNN, gray-scale images, logic OR operation, robustness template design

张群,闵乐泉. 灰度图像逻辑或运算CNN模板的顽健性设计[J]. 通信学报, 2014, 35(5): 88-94.

Qun ZHANG,Le-quan MIN. Robustness design of templates for logic OR operation CNN in gray-scale images[J]. Journal on Communications, 2014, 35(5): 88-94.

图/表 6

图1

表1

GLOGOR CNN模拟灰度图像逻辑或运算的局部规则"

局部规则	u _i,j(0)	x _i,j(0)	?	y_{i ,j}(∞)
局部规则1	$g_{i, j}^{11}$	$g_{i, j}^{21}$	?	-1
局部规则2	$g_{i, j}^{11}$	$g_{i, j}^{22}$	?	1
局部规则3	$g_{i, j}^{12}$	$g_{i, j}^{21}$	?	1
局部规则4	$g_{i, j}^{12}$	$g_{i, j}^{22}$	?	1

表1

图2

图3

图4

图5

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灰度图像逻辑或运算CNN模板的顽健性设计

Robustness design of templates for logic OR operation CNN in gray-scale images

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