基于四元数的彩色图像边缘检测研究

黄鑫

doi:10.3788/YJYXS20142903.0466

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基于四元数的彩色图像边缘检测研究

成像技术与图像处理 | 更新时间：2020-08-12

- 基于四元数的彩色图像边缘检测研究
- Color image edge detection based on quaternion
- 液晶与显示 2014年29卷第3期页码：466-472
- 作者机构：
  
  武警广东总队司令部,广东广州,510660
- 作者简介：
  
  [ "黄鑫（1979-），男，广东湛江人，硕士，助理工程师，主要从事网络管理和信息安全工作。E-mail：wjlim1979@126.com" ]
- 基金信息：
- DOI：10.3788/YJYXS20142903.0466
  中图分类号： TP394.1;TH691.9
- 收稿日期：2014-02-12，
  
  修回日期：2014-02-18，
  
  纸质出版日期：2014-04-25
- 稿件说明：
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黄鑫. 基于四元数的彩色图像边缘检测研究[J]. 液晶与显示, 2014,29(3): 466-472

HUANG Xin. Color image edge detection based on quaternion[J]. , 2014,29(3): 466-472
黄鑫. 基于四元数的彩色图像边缘检测研究[J]. 液晶与显示, 2014,29(3): 466-472 DOI： 10.3788/YJYXS20142903.0466.

HUANG Xin. Color image edge detection based on quaternion[J]. , 2014,29(3): 466-472 DOI： 10.3788/YJYXS20142903.0466.

摘要

为了实现彩色图像边缘检测，建立了彩色图像自动边缘检测算法。对彩色图像基于四元数的表示方法进行描述，针对基于snake算子实现彩色图像边缘检测算法进行了研究。首先，根据彩色图像三原色的基本特征，利用四元数的矢量表示方法以及四元数基本运算方法进行描述；其次，介绍了snake算子的基本原理，检测过程等。最后，构造了双四元数和snake算子的彩色图像边缘检测算法。实验结果表明，利用文中算法获得的彩色图像边缘检测保留了原图像的自身信息，边缘信息完整。该算法基本满足彩色图像边缘检测的稳定可靠、信息完整、抗干扰能力强等要求。

Abstract

In order to achieve color image edge detection

the paper establishes color image automatic edge detection algorithm. The paper describes the color image representation based on the quaternion

achieves the color image edge detection algorithm based on snake operator. First

the paper describes color image edge detection according to the three primary of color images

the vector quaternion representation and quaternion basic computing methods. Second

the basic principles of snake operators and detection process are introduced. Finally

the paper constructs the dual quaternion operator and snake color image edge detection algorithm. The experimental results show that it can retain its original image information by using the color image edge detection algorithm and the edge information is intake. The color image representation based on the quaternion can basically satisfy stability and reliability

complete information

strong anti-interference ability and other requirements.

关键词

Keywords

references

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