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公式6.41 about slambook2 HOT 4 CLOSED

gaoxiang12 avatar gaoxiang12 commented on July 21, 2024
公式6.41

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gaoxiang12 avatar gaoxiang12 commented on July 21, 2024

\sigma平方是噪声的协方差,即式6.13中间的那个协方差矩阵。

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LiamLYJ avatar LiamLYJ commented on July 21, 2024

@gaoxiang12 请问6.41是不是从6.32中推导出的? 但6.32中没有\sigma项。。6.41中的两边的\sigma不是也可以约去吗?

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gaoxiang12 avatar gaoxiang12 commented on July 21, 2024

是这样的:完整的状态估计要带上协方差矩阵,要从原始的最大似然估计出发。而6.32那部分内容,考虑到读者第一次接触到非线性优化,就略去了协方差矩阵。
6.41那个例子比较简单,所有的数据都使用同一种噪声,并且还是标量的,所以看上去可以约掉。但实际情况多数是矢量的误差,噪声来源也可能不一样,所以通常的写法是不约掉的。

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LiamLYJ avatar LiamLYJ commented on July 21, 2024

@gaoxiang12 Thx ~!

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