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Colour image edge detection using quaternion quantized localized phase

机译:使用四元数量化局部相位的彩色图像边缘检测

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Recently, a novel edge detection method for gray-level image using quantized localized phase was proposed in [1]. The rationale of this method for edge detection is that we can obtain more edge and contour information of interested image from its quantized localized phase rather than from its magnitude. This is because the phase information is of greater importance on edge areas than on smooth areas. In this paper, we generalize the method in [1] to deal with colour image edge detection using quaternion polar form and two dimensional quaternion short-term Fourier transform (2-D QSTFT). By applying 2-D QSTFT to colour image, locally quantizing the phase part of quaternion polar form of the transformed image, and then reconstructing the resulted image using 2-D QISTFT and quantized phase, we can preserve the edge information and therefore achieve the goal of colour image edge detection.
机译:最近,在[1]中提出了一种新的利用量化局部相位的灰度图像边缘检测方法。这种边缘检测方法的基本原理是,我们可以从其量化的局部相位而不是其幅度中获得更多感兴趣图像的边缘和轮廓信息。这是因为相位信息在边缘区域比在平滑区域更重要。在本文中,我们将[1]中的方法推广到使用四元数极性形式和二维四元数短期傅里叶变换(2-D QSTFT)进行彩色图像边缘检测的方法。通过将二维QSTFT应用于彩色图像,对转换后图像的四元数极性形式的相位部分进行局部量化,然后使用二维QISTFT和量化后的相位重建结果图像,我们可以保留边缘信息,从而达到目标彩色图像边缘检测。

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