为什么在彩色图像上无法进行傅立叶变换? [英] Why fourier transform is not possible on color images?

问题描述

为什么在彩色图像上无法进行傅立叶变换(dft)?为什么只能在灰度图像上进行傅立叶变换?

Why fourier transform(dft) is not possible on color images? Why only on gray scale images Fourier transforms is possible?

推荐答案

傅立叶变换处理信号在时间或空间上的强度，并转换为频率上的信号强度.没有一个数字可以代表颜色的强度而无需转换为灰度.

The Fourier Transform works with the intensity of a signal in time or space and converts to intensities of a signal in frequency. There's no single number that can represent the intensity of a color without converting to grayscale.

您可以将图像分成3个不同的图像，每个红色，绿色和蓝色分量一个.每一个都可以通过傅立叶变换进行独立处理.

You can split your image into 3 different images, one for each of the Red, Green, and Blue components. Each of those can be processed with a Fourier Transform independently.

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