浅谈傅里叶变换在图像处理中的应用

傅里叶变换是数字信号处理领域一种很重要的算法,该算法表明:任何连续测量的时序或信号,都可以表示为不同频率的正弦波信号的无限叠加。本文简述了针对图像处理的二维离散傅里叶变换的理论基础、物理意义和基本原理。对图像增强与去噪、边缘检测、特征提取、图像压缩应用到的方法进行了阐述。

Fourier transform is a very important algorithm in the field of digital signal processing.The algorithm shows that any continuous measurement of time sequence or signal can be represented as the infinite superposition of sinusoidal signals with different frequencies.The theoretical basis,physical meaning and basic principle of two-dimensional discrete Fourier transform for image processing are briefly described.The methods of image enhancement and denoising,edge detection,feature extraction and image compression are described.