基于分数阶微分的岩石裂隙图像增强

Image enhancement for rock fractures based on fractional differential

从分数阶微分对图像细微细节的增强能力出发,对分数阶微分的机理进行分析。将算子模板的非零权值平分到与常系数"1"距离相同的像素点中,利用周围像素点的自相关性,得到一种改进的分数阶微分算子模板。实验结果表明:对于纹理细节信息丰富的图像而言,分数阶微分对灰度变化不大的平坦区域中的纹理细节信息的提取效果明显优于整数阶微分运算。

Starting from the enhanced ability of fractional differential to image details,the authors analyzed the mechanism of fractional differential. By averaging the nonzero weights of operator template to the image pixels which have the same distance to constant coefficient ＂1＂ as well as utilizing self-dependency of surrounding pixels,an improved fractional order differential operator template was achieved. The experimental results show：in response to those images that have rich textural detail information,fractional differential outperforms integral differential operation to extract the textural detailinformation in smooth region witout too much gray scale change.