关键词: 图像增强, 分数阶微分, Riemann-Liouville, 熵

Abstract:

Different from the traditional image enhancement algorithms,the fractional differential image enhancement algorithm can enhance the high frequency of the image,and keep the middle and the low frequency of the image corresponding to the image texture detail and smoothing region.The paper designs a 5×5 image enhancement template based on the Riemann-Liouville fractional differential definition,and uses the fractional differential image enhancement algorithms (Sobel,Prewitt,and Laplacian) to experiment the image enhancement effect.Finally the entropy of the results by these image enhancement algorithms are analyzed,which shows that the image entropy after the processing increases with the fractional differential order,a proof of enhancement of image texture details.

Key words: image enhancement;fractional differential;Riemann-Liouville;entropy