From 965c5cd5d05283e58d06077e37cf8ea9ce1faa38 Mon Sep 17 00:00:00 2001 From: Gerry Chen Date: Sun, 30 Jan 2022 14:12:47 -0500 Subject: [PATCH] Incorporate changes from https://github.com/borglab/gtsam/pull/1064 --- _tutorials/intro.html | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_tutorials/intro.html b/_tutorials/intro.html index 98f2f2db..198c519c 100644 --- a/_tutorials/intro.html +++ b/_tutorials/intro.html @@ -1908,7 +1908,7 @@

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It helps a lot when we view this graphically, as in Figure 5, where I show the marginals on position as covariance ellipses that contain 99.9996% of all probability mass. For the odometry marginals, it is immediately apparent from the figure that (1) the uncertainty on pose keeps growing, and (2) the uncertainty on angular odometry translates into increasing uncertainty on y. The localization marginals, in contrast, are constrained by the unary factors and are all much smaller. In addition, while less apparent, the uncertainty on the middle pose is actually smaller as it is constrained by odometry from two sides.
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It helps a lot when we view this graphically, as in Figure 5, where I show the marginals on position as 5-sigma covariance ellipses that contain 99.9996% of all probability mass. For the odometry marginals, it is immediately apparent from the figure that (1) the uncertainty on pose keeps growing, and (2) the uncertainty on angular odometry translates into increasing uncertainty on y. The localization marginals, in contrast, are constrained by the unary factors and are all much smaller. In addition, while less apparent, the uncertainty on the middle pose is actually smaller as it is constrained by odometry from two sides.
You might now be wondering how we produced these figures. The answer is via the MATLAB interface of GTSAM, which we will demonstrate in the next section.
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We can optimize this factor graph as before, by creating an initial estimate of type Values, and creating and running an optimizer. The result is shown graphically in Figure 7, along with covariance ellipses shown in green. These covariance ellipses in 2D indicate the marginal over position, over all possible orientations, and show the area which contain 99.9996% of the probability mass. The graph shows in a clear manner that the uncertainty on pose +
We can optimize this factor graph as before, by creating an initial estimate of type Values, and creating and running an optimizer. The result is shown graphically in Figure 7, along with covariance ellipses shown in green. These 5-sigma covariance ellipses in 2D indicate the marginal over position, over all possible orientations, and show the area which contain 99.9996% of the probability mass. The graph shows in a clear manner that the uncertainty on pose x