Color Image Filtering in Bessel-Fourier Moments Domain

Tianpeng Xia, S. Liao
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Abstract

In this research, we have conducted a study on color image filtering in Bessel-Fourier moments domain. Bessel-Fourier moments of the two testing color images are computed independently from the three color channels (RGB), then lowpass and highpass filters are applied to the data in Bessel-Fourier moments domain for our investigation. For comparison, filters are applied in Fourier Frequency domain as well. The experimental results suggest that Bessel-Fourier moments of the lower orders contain mainly information of smooth varying components of images, while those of the higher orders are more related to details such as sharp transitions in intensity. It is also found that the Gaussian filters would reduce the ringing effect in Bessel-Fourier moments domain as they do in the Fourier Frequency domain.
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贝塞尔-傅里叶矩域彩色图像滤波
在本研究中,我们对彩色图像的贝塞尔-傅里叶矩域滤波进行了研究。在三个颜色通道(RGB)中独立计算两幅测试彩色图像的贝塞尔-傅里叶矩,然后在贝塞尔-傅里叶矩域对数据应用低通和高通滤波器进行研究。为了比较,在傅里叶频域也应用了滤波器。实验结果表明,低阶贝塞尔-傅里叶矩主要包含图像平滑变化分量的信息,而高阶贝塞尔-傅里叶矩则更多地与图像强度的急剧变化等细节有关。研究还发现,高斯滤波器在贝塞尔-傅立叶矩域中和在傅立叶频域中一样,都能减小振铃效应。
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