关键词: 分数阶微分, 图像增强, 微分阶数, 掩模模板, 岩石裂隙

Abstract: 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 detail information in smooth region witout too much gray scale change.

Key words: fractional differential, image enhancement, differential order, cover module, rock fracture