Noise-robust edge detector combining isotropic and anisotropic Gaussian kernels

Noise-robust edge detector combining isotropic and anisotropic Gaussian kernels
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结合各向同性和各向异性高斯核的抗噪声边缘检测器

DOI:
10.1016/j.patcog.2011.07.020
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发表时间:
2012-02
影响因子:
8
通讯作者:
Shui Peng-Lang
Shui Peng-Lang
中科院分区:
计算机科学1区
文献类型:
--
作者:
Zhang Wei-Chuan;Shui Peng-Lang

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提出了一种新的抗噪边缘检测器,将小尺度各向同性高斯核和大尺度各向异性高斯核相结合来获取图像的边缘映射。其主要优点是在保持高边缘分辨率的同时实现降噪。从ANGKs中,导出各向异性方向导数(ANDDs)来捕获图像的局部方向变化。构造了基于andd的边缘强度图(ESM)。其噪声鲁棒性仅由尺度决定,边缘分辨率由尺度与各向异性因子之比决定。此外,还揭示了各向异性平滑中的边缘拉伸效应。将基于andd的ESM和基于梯度的小尺度各向同性高斯核ESM融合为具有高边缘分辨率和小边缘拉伸的噪声鲁棒ESM。将融合ESM嵌入到Canny检测器的程序中,开发了一种噪声鲁棒边缘检测器,该检测器包括对比度均衡和噪声依赖下阈值两个附加改进。通过大量的实验,利用综合测试接收机工作特性(ROC)曲线和普拉特品质图(FOM)对所提出的探测器进行了评价。实验结果表明,该检测器可以获得高质量的无噪声和有噪声图像的边缘图。
A new noise-robust edge detector is proposed, which combines a small-scaled isotropic Gaussian kernel and large-scaled anisotropic Gaussian kernels (ANGKs) to obtain edge maps of images. Its main advantage is that noise reduction is attained while maintaining high edge resolution. From the ANGKs, anisotropic directional derivatives (ANDDs) are derived to capture the locally directional variation of an image. The ANDD-based edge strength map (ESM) is constructed. Its noise-robustness is determined by the scale alone and its edge resolution by the ratio of the scale to the anisotropic factor. Moreover, the edge stretch effect in anisotropic smoothing is revealed. The ANDD-based ESM and the gradient-based ESM with a small-scaled isotropic Gaussian kernel are fused into a noise-robust ESM with high edge resolution and little edge stretch. Embedding the fused ESM into the routine of Canny detector, a noise-robust edge detector is developed, which includes two additional modifications: contrast equalization and noise-dependent lower threshold. The aggregate test receiver-operating-characteristic (ROC) curves and the Pratt's Figure of Merit (FOM) are used to evaluate the proposed detector by abundant experiments. The experimental results show that the proposed detector can obtain high-quality edge maps for noise-free and noisy images.
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