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                上面的正態分布是一維的,圖像都是二維的,所以我們需要二維的正態分布。 ![](https://box.kancloud.cn/2015-08-08_55c5b42993dbe.png) 正態分布的密度函數叫做["高斯函數"](http://en.wikipedia.org/wiki/Gaussian_function)(Gaussian function)。它的一維形式是: ![2015-08-08/55c5b5fc9681d](https://box.kancloud.cn/2015-08-08_55c5b5fc9681d.png) 其中,μ是x的均值,σ是x的方差。因為計算平均值的時候,中心點就是原點,所以μ等于0。 ![2015-08-08/55c5b603c5e4b](https://box.kancloud.cn/2015-08-08_55c5b603c5e4b.png) 根據一維高斯函數,可以推導得到二維高斯函數: ![2015-08-08/55c5b60b5dcd1](https://box.kancloud.cn/2015-08-08_55c5b60b5dcd1.png) 有了這個函數 ,就可以計算每個點的權重了。
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