From 11c5bb97666877fa1e6a8f50e07ed3c9127ca539 Mon Sep 17 00:00:00 2001 From: Frank Dellaert Date: Wed, 26 Jan 2022 01:16:25 -0500 Subject: [PATCH] Fix docs (#1064) --- doc/Doxyfile.in | 2 +- doc/gtsam.lyx | 35 +++++++++++++++++++++++++++-------- doc/gtsam.pdf | Bin 826064 -> 825916 bytes doc/math.lyx | 8 ++++---- doc/math.pdf | Bin 273096 -> 273104 bytes python/gtsam/utils/plot.py | 14 +++++++++----- 6 files changed, 41 insertions(+), 18 deletions(-) diff --git a/doc/Doxyfile.in b/doc/Doxyfile.in index fd7f4e5f6..12193d0be 100644 --- a/doc/Doxyfile.in +++ b/doc/Doxyfile.in @@ -1188,7 +1188,7 @@ USE_MATHJAX = YES # MathJax, but it is strongly recommended to install a local copy of MathJax # before deployment. -MATHJAX_RELPATH = https://cdn.mathjax.org/mathjax/latest +# MATHJAX_RELPATH = https://cdn.mathjax.org/mathjax/latest # The MATHJAX_EXTENSIONS tag can be used to specify one or MathJax extension # names that should be enabled during MathJax rendering. diff --git a/doc/gtsam.lyx b/doc/gtsam.lyx index a5adc2b60..29d03cd35 100644 --- a/doc/gtsam.lyx +++ b/doc/gtsam.lyx @@ -1,5 +1,5 @@ -#LyX 2.2 created this file. For more info see http://www.lyx.org/ -\lyxformat 508 +#LyX 2.3 created this file. For more info see http://www.lyx.org/ +\lyxformat 544 \begin_document \begin_header \save_transient_properties true @@ -62,6 +62,8 @@ \font_osf false \font_sf_scale 100 100 \font_tt_scale 100 100 +\use_microtype false +\use_dash_ligatures true \graphics default \default_output_format default \output_sync 0 @@ -91,6 +93,7 @@ \suppress_date false \justification true \use_refstyle 0 +\use_minted 0 \index Index \shortcut idx \color #008000 @@ -105,7 +108,10 @@ \tocdepth 3 \paragraph_separation indent \paragraph_indentation default -\quotes_language english +\is_math_indent 0 +\math_numbering_side default +\quotes_style english +\dynamic_quotes 0 \papercolumns 1 \papersides 1 \paperpagestyle default @@ -168,6 +174,7 @@ Factor graphs \begin_inset CommandInset citation LatexCommand citep key "Koller09book" +literal "true" \end_inset @@ -270,6 +277,7 @@ Let us start with a one-page primer on factor graphs, which in no way replaces \begin_inset CommandInset citation LatexCommand citet key "Kschischang01it" +literal "true" \end_inset @@ -277,6 +285,7 @@ key "Kschischang01it" \begin_inset CommandInset citation LatexCommand citet key "Loeliger04spm" +literal "true" \end_inset @@ -1321,6 +1330,7 @@ r in a pre-existing map, or indeed the presence of absence of ceiling lights \begin_inset CommandInset citation LatexCommand citet key "Dellaert99b" +literal "true" \end_inset @@ -1542,6 +1552,7 @@ which is done on line 12. \begin_inset CommandInset citation LatexCommand citealt key "Dellaert06ijrr" +literal "true" \end_inset @@ -1936,8 +1947,8 @@ reference "fig:CompareMarginals" \end_inset -, where I show the marginals on position as covariance ellipses that contain - 68.26% of all probability mass. +, 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. @@ -1992,6 +2003,7 @@ PoseSLAM \begin_inset CommandInset citation LatexCommand citep key "DurrantWhyte06ram" +literal "true" \end_inset @@ -2190,9 +2202,9 @@ reference "fig:example" \end_inset , 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 68.26% of the - probability mass (in 1D this would correspond to one standard deviation). + 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 \begin_inset Formula $x_{5}$ \end_inset @@ -3076,6 +3088,7 @@ reference "fig:Victoria-1" \begin_inset CommandInset citation LatexCommand citep key "Kaess09ras" +literal "true" \end_inset @@ -3088,6 +3101,7 @@ key "Kaess09ras" \begin_inset CommandInset citation LatexCommand citep key "Kaess08tro" +literal "true" \end_inset @@ -3355,6 +3369,7 @@ iSAM \begin_inset CommandInset citation LatexCommand citet key "Kaess08tro,Kaess12ijrr" +literal "true" \end_inset @@ -3606,6 +3621,7 @@ subgraph preconditioning \begin_inset CommandInset citation LatexCommand citet key "Dellaert10iros,Jian11iccv" +literal "true" \end_inset @@ -3638,6 +3654,7 @@ Visual Odometry \begin_inset CommandInset citation LatexCommand citet key "Nister04cvpr2" +literal "true" \end_inset @@ -3661,6 +3678,7 @@ Visual SLAM \begin_inset CommandInset citation LatexCommand citet key "Davison03iccv" +literal "true" \end_inset @@ -3711,6 +3729,7 @@ Filtering 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=\left(ge^{\xhat}\right)^{-1}h=-e^{\xhat}g^{-1}h\nonumber \\ -e^{\yhat} & =-\left(h^{-1}g\right)e^{\xhat}\left(h^{-1}g\right)^{-1}=-\exp\Ad{\left(h^{-1}g\right)}\xhat\nonumber \\ +g^{-1}he^{\yhat} & =\left(ge^{\xhat}\right)^{-1}h=e^{-\xhat}g^{-1}h\nonumber \\ +e^{\yhat} & =\left(h^{-1}g\right)e^{-\xhat}\left(h^{-1}g\right)^{-1}=\exp\Ad{\left(h^{-1}g\right)}(-\xhat)\nonumber \\ \yhat & =-\Ad{\left(h^{-1}g\right)}\xhat=-\Ad{\varphi\left(h,g\right)}\xhat\label{eq:Dbetween1} \end{align} @@ -6674,7 +6674,7 @@ One representation of a line is through 2 vectors \begin_inset Formula $d$ \end_inset - points from the orgin to the closest point on the line. + points from the origin to the closest point on the line. \end_layout \begin_layout Standard diff --git a/doc/math.pdf b/doc/math.pdf index 40980354ead4a2339ffb1ef0636825a77fad1cac..71533e1e830e173ccca6dcd665f6adccb35d4d6d 100644 GIT binary patch delta 10465 zcmai%Lv$q!w5(&CBz z98OJrJP7)nf|>+jOCUSytxm%Q1mdoJ!d@-!_my_b1&VMHMegkyXTuZ20l5)f!pRkO 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zGCtRtGnmE1oifaTDNUG7Jk1m p = 99.9996 % def set_axes_equal(fignum: int) -> None: """ @@ -125,10 +132,7 @@ def plot_point2_on_axes(axes, if P is not None: w, v = np.linalg.eig(P) - # "Sigma" value for drawing the uncertainty ellipse. 5 sigma corresponds - # to a 99.9999% confidence, i.e. assuming the estimation has been - # computed properly, there is a 99.999% chance that the true position - # of the point will lie within the uncertainty ellipse. + # 5 sigma corresponds to 99.9996%, see note above k = 5.0 angle = np.arctan2(v[1, 0], v[0, 0]) @@ -205,7 +209,7 @@ def plot_pose2_on_axes(axes, w, v = np.linalg.eig(gPp) - # k = 2.296 + # 5 sigma corresponds to 99.9996%, see note above k = 5.0 angle = np.arctan2(v[1, 0], v[0, 0])