术语 | two-dimension Fourier transform |
释义 | two-dimension Fourier transform 二维傅里叶变换 As image information was processed in computer in accordance with frequency domain, it needs to do discrete transform and inverse transform of the two-dimension information, as follow:F(u,v)=1N∑N-1x=0 ∑N-1y=0 f(x,y)exp[-j2π(ux+vy)/N]f(x,y)=1N∑N-1u=0 ∑N-1v=0F(u,v)exp[j2π(ux+vy)/N]where f(x,y)is N×N image function, exp[·] is the core of the discrete Fourier transform (DFT) and inverse transform, x,y and u,v are variables of the spacial domain and frequency domain respectively. 图象信息在计算机中按频率域进行处理时 ,要进行二维信息的离散傅里叶变换和反变换:F(u,v)=1N ∑N-1x=0 ∑N-1y=0f(x,y)exp[-j2π(ux+vy)/N]f(x,y)=1N∑N-1u=0 ∑N-1v=0F(u,v)exp[j2π(ux+vy)/N]其中f(x,y)为N×N象元的图象函数,exp[·]为离散傅里叶变换和反变换的核,x,y和u,v分别为空间域或频率域中的变量。 |
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