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基于分数阶偏微分的图像边缘检测新模型
引用本文:蒋伟,丁志全,刘亚威.基于分数阶偏微分的图像边缘检测新模型[J].计算机应用,2012,32(10):2848-2850.
作者姓名:蒋伟  丁志全  刘亚威
作者单位:1. 重庆交通大学 理学院, 重庆 4000742. 重庆交通大学 理学院,重庆4000743. 重庆交通大学 土木建筑学院, 重庆 400074
基金项目:国家自然科学基金资助项目(61004118;11071266);重庆市教委科技项目(KJ120401);重庆交通大学实验教改项目(SYJ201128)
摘    要:现有的图像边缘检测方法效果不太理想,得到的图像边缘可能模糊。针对此问题,将分数阶微分理论和现有的Laplacian算子方法相结合应用于图像边缘检测,提出了一种基于分数阶偏微分的图像边缘检测新模型。实验结果表明,相比现有的整数阶微分边缘检测方法,该模型不仅能较好地检测出图像的边缘特征,而且对噪声具有一定的抑制作用,尤其对于纹理细节丰富的图像而言,能够检测出更多的纹理细节信息,是一种比较有效的边缘检测方法。

关 键 词:分数阶偏微分    图像边缘检测    Laplacian算子    纹理细节    客观评价指标
收稿时间:2012-04-06
修稿时间:2012-05-24

New image edge detection model based on fractional-order partial differention
JIANG Wei,DING Zhi-quan,LIU Ya-wei.New image edge detection model based on fractional-order partial differention[J].journal of Computer Applications,2012,32(10):2848-2850.
Authors:JIANG Wei  DING Zhi-quan  LIU Ya-wei
Affiliation:1. School of Science, Chongqing Jiaotong University, Chongqing 400074, China2. School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, China
Abstract:The effect of existing methods for image edge detection is not ideal,and the detected image edge may be fuzzy.Therefore,combining fractional-order differentiation theory with the existing Laplacian operator method,a new image edge detection model based on fractional-order differentiation was proposed.Compared with the existing integer-order differentiation edge detection methods,the experimental results show that the model,not only can detect the image edge well,but also have a certain effect on noise.It can detect more texture detail information especially for texture rich images.It is an effective method for edge detection.
Keywords:fractional order partial differentiation  image edge detection  Laplacian operator  texture detail  objective evaluation index
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