电子学报 ›› 2016, Vol. 44 ›› Issue (4): 813-820.DOI: 10.3969/j.issn.0372-2112.2016.04.009

• 学术论文 • 上一篇    下一篇

建立新型边缘泄露补偿机制的四阶方程图像平滑方法

易三莉, 陈勇, 贺建峰   

  1. 昆明理工大学信息工程与自动化学院, 云南昆明 650500
  • 收稿日期:2014-10-21 修回日期:2015-01-20 出版日期:2016-04-25
    • 通讯作者:
    • 贺建峰
    • 作者简介:
    • 易三莉 女,1977年12月出生,湖南岳阳人.2011年毕业于中南大学生物医学工程系,取得博士学位,2012年进入昆明理工大学生物医学工程系从事医学图像处理方面的研究. E-mail:152514845@qq.com;陈 勇 男,1986年11月出生,四川泸县人.硕士研究生.主要研究方向为计算机图像处理与模式识别. E-mail:2269134036@qq.com
    • 基金资助:
    • 国家自然科学基金 (No.11265007); 教育部回国人员科研启动基金 (No.2010-1561); 云南省人培基金 (No.KKSY201203030)

A Novel Compensation Mechanism of Edge Leakage for Fourth Order Equation Smoothing Image

YI San-li, CHEN Yong, HE Jian-feng   

  1. Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, Yunnan 650500, China
  • Received:2014-10-21 Revised:2015-01-20 Online:2016-04-25 Published:2016-04-25
    • Supported by:
    • National Natural Science Foundation of China (No.11265007); Scientific Research Starting Foundation for Returned Overseas Chinese Scholars,  Ministry of Education , China (No.2010-1561); Talent Training Fund of Yunnan Province (No.KKSY201203030)

摘要:

针对传统的四阶偏微分方程(四阶方程)降噪算法容易造成图像边缘泄露的问题,本文提出了一种基于边缘检测理论的泄露修补算法.该算法首先用非线性的双边滤波器对噪声图像进行预处理,得到边缘结构较好的预处理图像,然后基于梯度算子具有检测图像边缘特征的特点,提出将结果图像和预处理图像二者梯度差值的二范数平方作为边缘保持约束项,并将其加入到四阶方程算法的能量泛函中.另外,基于图像局部方差构造了自适应的拉格朗日乘子,从而实现对边缘保持约束项的自适应调整,以提高其边缘保持性能.实验测试结果表明,本文算法不仅继承了传统四阶算法具有的优点,而且增强了对边缘结构的保持能力.

关键词: 四阶偏微分方程, 边缘泄露, 边缘检测, 边缘保持约束

Abstract:

As the traditional fourth order partial differential equation(fourth order equation)algorithm causes edge leakage of image,a leakage compensation method is proposed based on edge detection theory.Firstly the noise image is preprocessed by a nonlinear bilateral filter to obtain the better edge preservation image.Based on the feature of the gradient operator on the detection of image edge and the squared two-norm of gradient difference which is between the result image and the preprocessed image,a constraint item is built.Then the constraint item is added to the corresponding energy functional of fourth order equation.Finally,to adaptively adjust the edge preservation constraint item and improve the performance of edge preservation,an adaptive Lagrange multiplier which is based on image local variance is constructed.The experimental results show that the proposed algorithm not only inherits the advantage of traditional fourth order equation,but also enhances its ability of edge preservation.

Key words: fourth order partial differential equation, edge leakage, edge detection, edge preservation constraint

中图分类号: