Merge pull request #348 from borglab/fix/doc-gtsam-coordinates

unhide doc section in PDF
release/4.3a0
Frank Dellaert 2020-06-17 11:52:00 -04:00 committed by GitHub
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@ -2291,15 +2291,11 @@ uncalibration
used in the residual).
\end_layout
\begin_layout Standard
\begin_inset Note Note
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\begin_layout Section
Noise models of prior factors
\end_layout
\begin_layout Plain Layout
\begin_layout Standard
The simplest way to describe noise models is by an example.
Let's take a prior factor on a 3D pose
\begin_inset Formula $x\in\SE 3$
@ -2353,7 +2349,7 @@ e\left(x\right)=\norm{h\left(x\right)}_{\Sigma}^{2}=h\left(x\right)^{\t}\Sigma^{
useful answer out quickly ]
\end_layout
\begin_layout Plain Layout
\begin_layout Standard
The density induced by a noise model on the prior factor is Gaussian in
the tangent space about the linearization point.
Suppose that the pose is linearized at
@ -2431,7 +2427,7 @@ Here we see that the update
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\end_layout
\begin_layout Plain Layout
\begin_layout Standard
This means that to draw random pose samples, we actually draw random samples
of
\begin_inset Formula $\delta x$
@ -2456,7 +2452,7 @@ This means that to draw random pose samples, we actually draw random samples
Noise models of between factors
\end_layout
\begin_layout Plain Layout
\begin_layout Standard
The noise model of a BetweenFactor is a bit more complicated.
The unwhitened error is
\begin_inset Formula
@ -2516,11 +2512,6 @@ e\left(\delta x_{1}\right) & \approx\norm{\log\left(z^{-1}\left(x_{1}\exp\delta
\end_inset
\end_layout
\end_inset
\end_layout
\end_body

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