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beiluo97 avatar beiluo97 commented on June 30, 2024

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}

from imageprocessing100wen.

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