基于1~2阶分数阶微分的图像增强算法  

Image Enhancement Algorithm Based on 1 ~ 2 order Fractional Differential

作　　者：李军成[1] 

机构地区：[1]湖南人文科技学院数学系,湖南娄底417000

出　　处：《计算机工程》2015年第2期209-214,共6页Computer Engineering

基　　金：湖南省自然科学基金资助项目(13JJ6081);湖南人文科技学院省级重点建设学科基金资助项目

摘　　要：在利用分数阶微分进行图像增强时,现有方法大多是基于0-1阶分数阶微分,而基于1-2阶分数阶微分的方法较少。为此,分析1-2阶分数阶微分对图像增强的作用,基于1-2阶分数阶微分构造一种用于图像增强的掩模算子。实验结果表明,该算子优于常用的频域法和空域法,比现有的一些0-1阶分数阶微分算子具有更好的图像增强效果。The present fractional differential methods for image enhancement are mostly constructed based on 0-1order fractional differential.There are rare papers discussing the image enhancement based on 1-2 order fractional differential.This paper analyses the effect of 1-2 order fractional differential to image enhancement,and constructs a mask operator for image enhancement based on 1-2 order fractional differential.Experimental results demonstrate that the presented operator not only has better image enhancement results than the commonly used frequency domain methods and spatial domain methods,but also has better image enhancement results than some present 0-1 order fractional differential operators.

关 键 词：图像处理 图像增强 分数阶微分 掩模算子 1~2阶微分 0~1阶微分 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]