A Novel Image Processing Filter Designed Using Discrete Fourier Invariant Signal

Roshni Ravi, M. J. Josemartin
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引用次数: 4

Abstract

In this paper, a new image processing filter is proposed. In order to construct this image smoothing filter, one dimensional discrete Fourier invariant signal generated by an iterative design principle based on gradient descent method is used. The filter shape and values in spatial and frequency domain is almost the same. The proposed filter can be used as a kernel matrix in image processing to perform blurring as well as high frequency noise suppression. Also it can be used as an optimal two dimensional window for spatial-frequency spectral analysis of images.
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一种基于离散傅里叶不变信号的图像处理滤波器
本文提出了一种新的图像处理滤波器。为了构建图像平滑滤波器,采用基于梯度下降法的迭代设计原理产生一维离散傅立叶不变信号。滤波器在空间域和频域的形状和值几乎相同。该滤波器可作为核矩阵在图像处理中进行模糊处理和高频噪声抑制。它还可以作为图像空间频谱分析的最佳二维窗口。
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