Relationship of direction of image in time domain and frequency domain

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (23): 128-130.

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Relationship of direction of image in time domain and frequency domain

LI Xingmei1，2, YAN Guoping1, CHEN Liang2

1.Department of Electronics and Information, Huazhong University of Science and Technology, Wuhan 430074, China
2.China University of Geosciences（Wuhan）, Wuhan 430074, China

Online:2012-08-11 Published:2012-08-21

图像时域方向与频域方向的关系研究

李杏梅1，2，严国萍1，陈亮2

1.华中科技大学电信系，武汉 430074
2.中国地质大学（武汉），武汉 430074

Abstract

Abstract: The directional filter banks can separate the image into different sub-bands which represent different directions in time domain. The DFB is constructed on the basis of directions in frequency domain. This article supposes there is some relationship between the directions of the image in time domain and frequency domain and shows the orthogonal character of the direction of edges and texture in time domain and frequency domain through mathematical formula and examples.

Key words: Directional Filter Banks（DFB）, direction in time domain, direction in frequency domain, orthogonal

摘要： 方向滤波器组能够对图像进行不同子带的划分，各个子带图像代表不同的方向，在时域上面表现出不同的方向，但是方向滤波器组的方向划分主要是基于图像频域的划分。在利用傅里叶变换求幅度谱以及相应的功率谱的基础上，分析了图像边缘纹理时域方向与频域方向之间的关系，通过一序列公式进行推导并且用实例展示了图像边缘纹理时域方向与图像边缘频域方向有相互正交的关系。

关键词: 方向滤波器组, 时域方向, 频域方向, 正交

LI Xingmei1，2, YAN Guoping1, CHEN Liang2. Relationship of direction of image in time domain and frequency domain[J]. Computer Engineering and Applications, 2012, 48(23): 128-130.

李杏梅1，2，严国萍1，陈亮2. 图像时域方向与频域方向的关系研究[J]. 计算机工程与应用, 2012, 48(23): 128-130.

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Relationship of direction of image in time domain and frequency domain

图像时域方向与频域方向的关系研究

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