自适应分数阶微分在图像纹理增强中的应用  

Adaptive fractional differential and its application to image texture enhancement

作　　者：汪成亮[1] 兰利彬[1] 周尚波[1] 

机构地区：[1]重庆大学计算机科学与工程学院,重庆400044

出　　处：《重庆大学学报（自然科学版）》2011年第2期32-37,共6页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(61004112);中国博士后科学基金资助项目(20080430750)

摘　　要：针对目前只能通过人为实验指定最佳分数阶微分阶数的现状,为了节省大量人工寻求最佳分数阶微分阶数的时间,研究并提出了可以依据掩模窗口大小、G-L公式、图像梯度特征和人眼视觉特性等理论的能够自动生成分数阶微分阶数的新方法,基于该自适应阶数,设计并实现了对应的算子掩模。采用了信息熵、平均梯度等图像纹理特征评价参数做定量分析和实验验证,结果表明,该方法对任意灰度图像可以得到连续变化的增强效果,接近于最佳分数阶微分增强效果,符合人们的视觉感受,是有效的图像纹理增强方法。Optimal fractional differential order can be only specified manually by experiments.In order to significantly save time of manually seeking optimal fractional differential order,a novel approach is studied and proposed,which is based on window size,G-L formula,image gradient and visual property to automatically generate fractional differential order.The fractional differential operator masks are designed and realized by employing this order.The evaluation parameters of image texture,such as information entropy and average gradient were used for quantitative analysis and experimental verification.The results show that,for any grey image,this method can obtain a successive enhancement result,which approximates the results of optimal fractional differential order and more satisfies human visual sense.It is an effective approach to enhance image texture.

关 键 词：分数阶微分阶数 掩模 梯度方法 视觉特性 图像纹理增强 

分 类 号：TN911.73[电子电信—通信与信息系统] TP391[电子电信—信息与通信工程]