计算机工程与应用2018，Vol.54Issue(3)：184-191,8.DOI:10.3778/j.issn.1002-8331.1608-0554
图像增强中分数阶阶次自适应模型的构造
Construction of adaptive degree model for fractional order differential operator in image enhancement
摘要
Abstract
It is very ambitious to search the optimal degree of fractional order differential operator manually, lack of order adaptive in image enhancement. In order to tackle this problem, a mathematical model of adaptive degree for fractional or-der differential operator is presented, which takes the arctangent function as prototype and adopts local image information as independent variables, such as the image gradient information, local information entropy, brightness and contrast. Therefore, the relationship between the optimal degree and local image information can be built up, and the optimal de-gree at every pixel location can be calculated automatically according to the characteristics of image. And then, the model provided is applied to fractional order differential Tiansi operator in image enhancement. Images from standard library with texture are selected as the object for the experiment to verify the validity of the mode. The experimental results are analyzed qualitatively and quantitatively. In quantitative analysis, image information entropy, image average gradient, im-age definition and image contrast are selected to evaluate the enhancement effect and comparison results to Laplacian and Tiansi operator are also provided. Theoretical analysis and experimental results have shown that the model presented is effective and the gray image can be enhanced continuously to the optimal level of fractional order differential enhancement effect, satisfying people's visual perception.关键词
分数阶微分/Tiansi算子/阶次自适应模型/图像增强Key words
fractional order differential/Tiansi operator/adaptive degree model/image enhancement分类
信息技术与安全科学引用本文复制引用
张桂梅,刘峰瑞,刘建新..图像增强中分数阶阶次自适应模型的构造[J].计算机工程与应用,2018,54(3):184-191,8.基金项目
国家自然科学基金(No.61462065) （No.61462065）
江西省自然科学基金(No.20151BAB207036). （No.20151BAB207036）
