改进的分数阶微分Tiansi算子图像增强

Image Enhancement based on Improvement Tiansi Operator of Fractional Differential

为了提升图像纹理细节的信息,对已有图像增强模板的频率响应图进行特征分析,发现影响增强效果的根本原因是保证高频信息通过的同时更多的保留了低频信息.对分数阶微分Tiansi算子模板的频率响应图及滤波效果做了对比分析,发现已有分数阶微分Tiansi算子滤波效果图的全局平均灰度较低,视觉效果较差,原因在于低频信息保留太少.为此对已有分数阶微分Tiansi算子的模板做了调整,提高低频信息的通过率,得到新的分数阶微分Tiansi算子.实验表明改进的算子比其他的算法增强效果好.

In order to promote enhancement effect to the image texture detail, a feature analysis technique is employed to analyze the frequency response chart of image enhancement template. Analysis results show that the basic reason of the influence enhancement effect lies in retaining more low frequency information while passing high frequency information. Comparing the frequency response chart of the fractional differential Tiansi operator and it＇ s filter effect, it is found out that the global average gray level of filtering rendering of the latest existing fractional differential Tiansi operator is lower, and resulting into that the visual effect of result image is poorer. The main reason is to retain too little low frequency information. Therefore, fractional differential Tiansi operator template is improved to upgrade the throughput rate of low frequency signal. A novel fractional differential Tiansi operator is obtained, the experimental result indicate that the proposed better enhancement effect than others.