In recent years, the research on image processing based on fractional calculus has attracted much attention. In this work, we proposed a new way to construct an image edge detection mask based on the fractional-order derivative using the Caputo–Fabrizio formulation. The proposed mask was experimented on a large dataset of natural images in both noiseless and noisy situations. In comparison with both classical and fractional edge detectors, the achieved results demonstrated the advantageous performances of the proposed edge detector.

中文翻译：

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一种基于 Caputo-Fabrizio 分数阶导数的图像边缘检测掩模的新构造

近年来，基于分数阶微积分的图像处理研究备受关注。在这项工作中，我们提出了一种使用 Caputo-Fabrizio 公式基于分数阶导数构建图像边缘检测掩码的新方法。在无噪声和有噪声的情况下，在自然图像的大型数据集上对所提出的掩码进行了实验。与经典边缘检测器和分数边缘检测器相比，所获得的结果证明了所提出的边缘检测器的优越性能。