Fractional differentiation for edge detection
Fractional differentiation for edge detection
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DOI：
10.1016/s0165-1684(03)00194-4
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发表时间：
2003-11-01
影响因子：
4.4
通讯作者：
Ceyral, C
中科院分区：
文献类型：
--
作者：
Mathieu, B;Melchior, P;Ceyral, C
在图像处理中，边缘检测通常使用整数阶微分算子，特别是梯度使用的I阶微分算子和拉普拉斯算子使用的2阶微分算子。本文演示了如何引入基于非整数（分数）微分的边缘检测器可以提高薄检测的标准，或在抛物线亮度转换的情况下的检测选择性，以及对噪声的免疫力的标准，这可以解释为对噪声的鲁棒性。(C)2003 Elsevier B.V.保留所有权利。
In image processing, edge detection often makes use of integer-order differentiation operators, especially order I used by the gradient and order 2 by the Laplacian. This paper demonstrates how introducing an edge detector based on non-integer (fractional) differentiation can improve the criterion of thin detection, or detection selectivity in the case of parabolic luminance transitions, and the criterion of immunity to noise, which can be interpreted in term of robustness to noise in general. (C) 2003 Elsevier B.V. All rights reserved.