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以及底下的两个公式,t_x,t_y都应该替换为d_x和d_y
The text was updated successfully, but these errors were encountered:
问题32缺少的公式
$$ I(x,y)=\frac{1}{H\ W}\ abs\bigg \{\sum\limits_{l=0}^{H-1}\ \sum\limits_{k=0}^{W-1}\ G(l,k)\ \Big [ \cos{2\pi j\ (\frac{k\ x}{W}+\frac{l\ y}{H})} +j\sin{2\pi j\ (\frac{k\ x}{W}+\frac{l\ y}{H})}\Big ] \bigg \} $$
以及问题32中二维傅立叶变换的表述... 首先第一个公式就错了$$ G(k,l)=\frac{1}{H\ W}\ \sum\limits_{y=0}^{H-1}\ \sum\limits_{x=0}^{W-1}\ I(x,y)\ e^{-2\ \pi\ j\ (\frac{k\ x}{W}+\frac{l\ y}{H})} $$ 推一遍傅立叶公式再拓展到二维傅立叶的正变换,就知道不需要在正变换中乘以\frac{1}{H\ W}。
$$ G(k,l)=\frac{1}{H\ W}\ \sum\limits_{y=0}^{H-1}\ \sum\limits_{x=0}^{W-1}\ I(x,y)\ e^{-2\ \pi\ j\ (\frac{k\ x}{W}+\frac{l\ y}{H})} $$
\frac{1}{H\ W}
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以及底下的两个公式,t_x,t_y都应该替换为d_x和d_y
The text was updated successfully, but these errors were encountered: