From 31011d5ee3b77663b26ecf6fc8101e8216715bcc Mon Sep 17 00:00:00 2001 From: Colin Shi Date: Wed, 6 Mar 2019 14:30:28 -0800 Subject: [PATCH 01/22] added summaries of SLAM approaches and pros/cons --- lecture_14/main.pdf | Bin 376562 -> 386862 bytes lecture_14/main.tex | 12 +++++++++++- 2 files changed, 11 insertions(+), 1 deletion(-) diff --git a/lecture_14/main.pdf b/lecture_14/main.pdf index c7c637528f1ea100ace4bc78c337bb1d38d2947a..9416aff9172a27dae00d108be3f673b1dc39bae0 100644 GIT binary patch delta 37393 zcmbqb1y~kK_oopAX(Xg16{(ju=#uX4?(UFs0g-M5q(qSt6;K*PL}{cE36WH~MNkp` zyP#L^{qFtZ`9D0nJG*;k=KOx=%$b?9ukL)OEbBX8(Q*cWGx9RJSvum2h~V>R`@7pP z@~B(b+2HeBb#wK$arO3MM1TUC_&l06UT!{~RyJOY{HG68Y^)tDq};AC8u5Y;kbE#k zlpxFmAFS>P)??)RAtvYP=Ht!?JE+tb3;%N^>&%Ab+vsuqv5jjw~1ji#IwBaZ^3x2KQI zuU;S(eqxga@i2;rF!IRqp%{^nI#5xN5%r_Uk75+~QH1j{0)juw{EU1MK1dqD%g6^Q zep2RR1QA1Jusa@oHA_butJC%sT)+qdm!{_<`nFlhun`OouAM`63kuVHo 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z#)dzYF#zlV>zK?%kQ>24%*Tq*PLbtmdL1`@`)NZ>xW}i83@RMAE5T`h&A%_;&_il_ zN{y$l&)b=wXkPjuHkm`8xLwC(ZT-yu8u|->0G7xQS+=)5k^nov@6OaYq_8Ib1Lbaq nUsu|_n;Wn@{_om)dVTir^7Z&vO>TZZAU79)j!srh4)A{f>M05e diff --git a/lecture_14/main.tex b/lecture_14/main.tex index 0d21e64..41acf3e 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -387,6 +387,16 @@ \section{Fast-SLAM Algorithm} \end{algorithm} \newpage +\section {Summary} + +We have introduced 3 different implementations of SLAM, which are Gaussian SLAM (based on EKF and KF), Graph SLAM, and Fast SLAM (based on particle filter). + +EKF SLAM assumes that all uncertainties follow a Gaussian distribution, and is therefore well understood and easy to compute. It is the best linear estimator that works especially well when uncertainty is low. However, because it is a unimodal estimate, it works poorly when uncertainties are high. When a point far from the mean is pushed through linearization, it will yield inaccurate estimates. + +Graph SLAM provides the best possible estimate based on an optimization problem that models all uncertainties as spring stiffnesses, and finds the minimum energy of the network. Exploiting matrix sparsity leads to efficient solutions, but can still be computationally complex when solving a full SLAM problem, leading to difficult implementation. + +Fast SLAM is the most natural representation of multimodal beliefs, able to handle any non-parametric distribution. It is the easiest to implement, relying on conditional independence to factorize the distribution to speed up computation. However, the problem does not scale well in large dimensions, and a large sample of particles is required for good convergence. + \section {References} \begin{enumerate}[label={[\arabic*]}] \item R. Siegwart, I. R. Nourbakhsh, D. Scaramuzza.Introduction to Autonomous Mobile Robots. MIT Press, 2nd Edition, 2011 @@ -394,7 +404,7 @@ \section{Fast-SLAM Algorithm} \subsubsection*{Contributors} -Winter 2019: [Your names here] +Winter 2019: Colin Shi \\ Winter 2018: Bo Kim, Matt Subrahmanyam, Ianis Bougdal-Lambert, Michelle Zhang, Barrett Weiss, Eric Ballouz From 0fa50f39e58fe4f7491d25532114d70381989ca0 Mon Sep 17 00:00:00 2001 From: BenQLange Date: Thu, 7 Mar 2019 10:43:07 -0800 Subject: [PATCH 02/22] Added a list of SLAM implementations in ROS --- lecture_14/main.tex | 21 +++++++++++++++++++-- 1 file changed, 19 insertions(+), 2 deletions(-) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index 41acf3e..0f6c4c2 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -385,8 +385,23 @@ \section{Fast-SLAM Algorithm} \caption{Fast-SLAM Algorithm} \label{alg:fastslam} \end{algorithm} +\section{ROS packages with SLAM implementations} +Below, we have compiled a list of the most popular ROS packages with SLAM implementations with short description based on the information available on wiki.ros.org and openslam-org.gihub.io. +\begin{enumerate} + \item Gmapping: Implementation of OpenSlam's Gmapping which provides a 2-D occupancy grid based on a laser scan and a pose data. It uses Rao-Blackwellized particle filer which allows to solve the simultaneous localization and mapping problem where each particle represents an individual map of the environment. + \item TinySlam: The simplest and lightweight SLAM implementation based on laser range data and odometry + \item MRPT (Mobile Robot Programming Toolkit, C++) based packages: + \begin{enumerate} + \item EKF SLAM 2D: EKF-based package. It uses range-bearing sensors, odometry, 2D robot pose and 2D landmarks. + \item EKF SLAM 3D: EKF-based package. It uses range-bearing sensors, odometry, 6D robot pose and 3D landmarks. + \item GRAPH SLAM 2D: single robot or multi-robot pose-only graphSLAM. It uses laser scans and odometry. + \item ICP SLAM 2D: ICP-based package (Iterative Closest Points). It uses 2D laser scans. Builds only small to midsized maps. Larger maps requires more advanced implementations + \item RBPF SLAM: Rao Blackwellized based package. Uses range-only. + \end{enumerate} + \item Hector SLAM: LIDAR based SLAM that can be used without odometry. It can be used on robots with roll/pitch motion of the sensor, robot and both. + \item RGBD SLAM: uses RGB-D cameras (e.g. Microsoft Kinect). +\end{enumerate} -\newpage \section {Summary} We have introduced 3 different implementations of SLAM, which are Gaussian SLAM (based on EKF and KF), Graph SLAM, and Fast SLAM (based on particle filter). @@ -401,10 +416,12 @@ \section{Fast-SLAM Algorithm} \begin{enumerate}[label={[\arabic*]}] \item R. Siegwart, I. R. Nourbakhsh, D. Scaramuzza.Introduction to Autonomous Mobile Robots. MIT Press, 2nd Edition, 2011 \item S. Thrun, W. Burgard, and D. Fox. Probabilistic robotics. MIT press, 2005. +\item ROS (Robot Operating System) Documentation wiki.ros.org +\item OpenSLAM https://openslam-org.github.io/ \subsubsection*{Contributors} -Winter 2019: Colin Shi +Winter 2019: Colin Shi, Bernard Lange \\ Winter 2018: Bo Kim, Matt Subrahmanyam, Ianis Bougdal-Lambert, Michelle Zhang, Barrett Weiss, Eric Ballouz From c631d4532f064ae18ceb53ca3cac33da8dae3dc3 Mon Sep 17 00:00:00 2001 From: BenQLange Date: Thu, 7 Mar 2019 10:45:53 -0800 Subject: [PATCH 03/22] Added a list of SLAM implementations in ROS with pdf --- lecture_14/main.pdf | Bin 386862 -> 381588 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/lecture_14/main.pdf b/lecture_14/main.pdf index 9416aff9172a27dae00d108be3f673b1dc39bae0..775d084ef6635f97c9fa7c866933eedd69f349ab 100644 GIT binary patch delta 59846 zcmb4qWmFtn(=P6T;0}Yky9Fn>ySuv+q;UwY!6mr61qiOe3GN=;T`%W7uYLEsf9|ZA zUbDM<@ z$l2?|Nw77maeh)Ds&#tvc+A1?Cf1Y93Un|XEReP6ITak5DV+O91xSn 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Sw`T<)fCRi52pbi;Er?Qs%fy5m$g2iA1Pie@Q;PfYT8G>Py zAJp`~4T)+f(s2et2VtkG2xKUsF$o=~GwB)w0vU_Y00?9_wU<&K4dl#8Hq5>M{bOwt%WKl)=C?0U`u}Qt8vJM}kX&#YQy{f`=K@dfcsu zASi>)0AHQdWo&?^$HZ(5*I*EgM^I;#sg4H>#^|Kx!)zQUKmw{NqBus^bQ6$ah?*q; zAe&$_HP}LNz*dj(nCwnN$WHpffWTzUi3yaY;ZGDN5KWhWNx*kW^=E-~bm~kqRYT}F zhNJ4^ksuE-gesV-iWo*$CVJ|zI@75u zo4|O4W*lL3HloQY_!B)F{8L8_WCWq%5?~3U8NnD3_M8M~vpTKoGL8Vjpgsq9lqy_Q z{&iO~;3XEdhgOp@5ERvT7-Jv|x&}aMxE?NHutA<^jK^dUtS&c^$});Enbf-_^@&-) zcN+PQu`rz4z^DOaBRI7ts>@KM2QzFYy$3*&P0g(NFae6Nh73m#hDLmVvk93!(hgJs z%`5@Ik7%w3Kn4yEgb)S)oi%{Y04EA+rV|4Yt6?#n#RB}R0|YWmb8!L%0B3112-1^D zZRFGIJuMu-pWbA_gL`OP#71A M7&LQpjysq3KbER*_W%F@ From caaa728a4ef31c18ec553e70de6ce89f4269fde7 Mon Sep 17 00:00:00 2001 From: idvale <39723165+idvale@users.noreply.github.com> Date: Thu, 7 Mar 2019 13:50:25 -0800 Subject: [PATCH 04/22] Update of main.tex Added some information in the introduction and conclusion --- lecture_14/main.tex | 11 +++++++---- 1 file changed, 7 insertions(+), 4 deletions(-) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index 0f6c4c2..b563f8a 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -59,8 +59,11 @@ \section{Introduction} -During the last lecture, we covered an important class of SLAM algorithms based on EKF. However, one main issue with EKF-SLAM is that it tends to scale quite poorly with the number of features. Furthermore, this method relies on a linearization process performed globally, which is only efficient when the estimate is close to the truth. -In this lecture, we cover two additional algorithms for SLAM that don't suffer from these limitations: graph-based SLAM and particle-filter SLAM. We give a very quick overview of graph SLAM before moving on to particle-filter SLAM, often referred to in literature as Fast-SLAM. This will give us a good overview of the different techniques used in localization. +During the last lecture, we covered an important class of SLAM algorithms based on EKF. However, one main issue with EKF-SLAM is that it tends to scale quite poorly with the number of features. In general EKF has squared complexity, supposing we have 1000 landmarks this becomes computationally prohibited. Furthermore, this method relies on a linearization process performed globally, which is only efficient when the estimate is close to the truth. If non-linearities are large this can cause the divergence of our filter. + +Also, a key issue is that we might assign fake landmarks and once it is done we keep them for granted. To fix this a approach would consist in using a provisional list approach by waiting several iterations before putting a landmark in the state. + +In this lecture, we cover two additional algorithms for SLAM that don't suffer from these limitations: graph-based SLAM and particle-filter SLAM. We give a very quick overview of graph SLAM before moving on to particle-filter SLAM, often referred to in literature as Fast-SLAM, an extension of Monte Carlo. This will give us a good overview of the different techniques used in localization. \section{Graph SLAM} @@ -410,7 +413,7 @@ \section{ROS packages with SLAM implementations} Graph SLAM provides the best possible estimate based on an optimization problem that models all uncertainties as spring stiffnesses, and finds the minimum energy of the network. Exploiting matrix sparsity leads to efficient solutions, but can still be computationally complex when solving a full SLAM problem, leading to difficult implementation. -Fast SLAM is the most natural representation of multimodal beliefs, able to handle any non-parametric distribution. It is the easiest to implement, relying on conditional independence to factorize the distribution to speed up computation. However, the problem does not scale well in large dimensions, and a large sample of particles is required for good convergence. +Fast SLAM is the most natural representation of multimodal beliefs, able to handle any non-parametric distribution. It is the easiest to implement, relying on conditional independence to factorize the distribution to speed up computation. However, the problem does not scale well in large dimensions, and a large sample of particles is required for good convergence. Naive implementation is intractable due to the excessively large number of particles. A way to tackle this issue would be to use multiple filters; one estimator for trajectory and one for each landmark. \section {References} \begin{enumerate}[label={[\arabic*]}] @@ -421,7 +424,7 @@ \section{ROS packages with SLAM implementations} \subsubsection*{Contributors} -Winter 2019: Colin Shi, Bernard Lange +Winter 2019: Colin Shi, Bernard Lange, Paul Planeix \\ Winter 2018: Bo Kim, Matt Subrahmanyam, Ianis Bougdal-Lambert, Michelle Zhang, Barrett Weiss, Eric Ballouz From 839e60d691c95c13a493d574e06cad103623563f Mon Sep 17 00:00:00 2001 From: Bernard Lange <31079132+BenQLange@users.noreply.github.com> Date: Thu, 7 Mar 2019 14:42:40 -0800 Subject: [PATCH 05/22] Delete main.pdf --- lecture_14/main.pdf | Bin 381588 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 lecture_14/main.pdf diff --git a/lecture_14/main.pdf b/lecture_14/main.pdf deleted file mode 100644 index 775d084ef6635f97c9fa7c866933eedd69f349ab..0000000000000000000000000000000000000000 GIT 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zLsPdZYlPmo@TCpaE2oE`?pCyt>Axp8{cj{WJir?vMR&2;_uWs^+e_?wf2p-X5QlImUjQr0R zPEO}dTd+lCwq-QN%Ri`W@lAzapJk-mtfhNeVW*oVufOo(UrV^IpOQ3n!Rm zSU`XmkwybON?I3usdOmVgUR0Dab2h*C4>%UgX+UTOb!Z%M5FYOFti>3GeE#V5tG~3 zBv4ywI0eM#0~j}LsDCgq)R#^nLc{-i5)DJb^uc=&LW0O)q^~*ti2Y{_aOpw_F*uk) z1}#p+0Q%q1`F{oV|MAz>=^VxT&-x7%K%oCY0riIp3Iz5C(xG2HQD#8_VSzL{6#QvI z2mt~Aq)_mMK(fEFF%*6gB>e+WeQl*OS3%N8*tG%|$ZEsg}x;_B)ac9!D*27lnXUH||9 literal 0 HcmV?d00001 From 94139f817e2fadbc676da9445a9d154aa9b9caf8 Mon Sep 17 00:00:00 2001 From: wbrannon <39833759+wbrannon@users.noreply.github.com> Date: Thu, 7 Mar 2019 16:08:36 -0800 Subject: [PATCH 08/22] Update main.tex Added learning objectives --- lecture_14/main.tex | 14 +++++++++++--- 1 file changed, 11 insertions(+), 3 deletions(-) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index b563f8a..1ace43b 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -59,12 +59,20 @@ \section{Introduction} -During the last lecture, we covered an important class of SLAM algorithms based on EKF. However, one main issue with EKF-SLAM is that it tends to scale quite poorly with the number of features. In general EKF has squared complexity, supposing we have 1000 landmarks this becomes computationally prohibited. Furthermore, this method relies on a linearization process performed globally, which is only efficient when the estimate is close to the truth. If non-linearities are large this can cause the divergence of our filter. +During the last lecture, we covered an important class of SLAM algorithms based on EKFs. However, one main issue with EKF-SLAM is that it tends to scale quite poorly with the number of features. In general, EKF has squared complexity; in supposing we have on the scale of hundreds or more landmarks, this becomes computationally prohibitive. Furthermore, this method relies on a linearization process performed globally, which is only efficient when the estimate is close to the truth. If non-linearities are large, this can cause the divergence of our filter. -Also, a key issue is that we might assign fake landmarks and once it is done we keep them for granted. To fix this a approach would consist in using a provisional list approach by waiting several iterations before putting a landmark in the state. +Also, a key issue is that we might assign "fake" landmarks and once it is done we keep them for granted. To fix this, an approach would consist in using a provisional list approach by waiting several iterations before putting a landmark in the state. In this lecture, we cover two additional algorithms for SLAM that don't suffer from these limitations: graph-based SLAM and particle-filter SLAM. We give a very quick overview of graph SLAM before moving on to particle-filter SLAM, often referred to in literature as Fast-SLAM, an extension of Monte Carlo. This will give us a good overview of the different techniques used in localization. +\textbf{Learning Objectives:} +\begin{itemize} +\item Develop insight into solving full-scale SLAM problem, as opposed to the online-SLAM problem that was previously addressed. In full-scale SLAM, we estimate $p(x_{1:t},m,c_t|z_{1:t},u_{1:t})$ +\item Gain intuition in addressing full-scale SLAM problem via graph SLAM and fast SLAM +\item Decompose these SLAM approaches into their fundamental mathematical formulation +\item Understand the computational demands of these approaches, and distinguish scenarios regarding most appropriate SLAM implentation +\end{itemize} + \section{Graph SLAM} While EKF's goal was to solve the SLAM problem online, the Graph SLAM algorithm aims at solving the full-scale SLAM problem. More precisely, we want to get an estimate of the map $m$ and of the entire robot's path -- i.e. the whole state history $x_{1:t}$ and not just an estimate of the state $x_t$ at time $t$ -- conditioned on the measurement and control history: @@ -424,7 +432,7 @@ \section{ROS packages with SLAM implementations} \subsubsection*{Contributors} -Winter 2019: Colin Shi, Bernard Lange, Paul Planeix +Winter 2019: Colin Shi, Bernard Lange, Paul Planeix, William Brannon \\ Winter 2018: Bo Kim, Matt Subrahmanyam, Ianis Bougdal-Lambert, Michelle Zhang, Barrett Weiss, Eric Ballouz From 30e2362a718857ea4c23add467a4408293ff7867 Mon Sep 17 00:00:00 2001 From: xjli1013 <48336581+xjli1013@users.noreply.github.com> Date: Thu, 7 Mar 2019 18:01:15 -0800 Subject: [PATCH 09/22] Update main.tex --- lecture_14/main.tex | 30 ++++++++++++++++++++++++++++++ 1 file changed, 30 insertions(+) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index 1ace43b..44788cc 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -413,6 +413,36 @@ \section{ROS packages with SLAM implementations} \item RGBD SLAM: uses RGB-D cameras (e.g. Microsoft Kinect). \end{enumerate} +\section {EKF SLAM with unkown correspondences} + +We want to add discussion of EKF SLAM with unknown correspondences. We are still doing localization, but this time, the robot starts with a map of landmarks that does not change over the course of its run. So the difference is when the robot gets a range and bearing measurement, it will not know to which landmark that measurement corresponds. + +Below we will explain firstly the process for extimating the correspondence between measurements and landmarks and present the correspondence algorithm on its own. Then we will show how the correspondence estimation algorithm can be integrated with EKF localization algorithm we have learned before. + +\subsection {Measurement Correspondence Intro} + +When our robot gets a measurement to a nearby landmark, it can use that information to refine its estimate of its pose. In this current problem, we are no longer directly telling the robot to which landmark each measurement corresponds. Without knowledge of this correspondence measurements are basically useless to our robot. So our robot needs a way to estimate the correspondence between its measurements and the landmarks in its map. One way it can do this is through maximum likelihood data association. + +\subsection {Maximum Likelihood Data Association} + +In maximum likelihood data association, the robot computes the probability that its current measurement corresponds to every landmark in its map. It then chooses the landmark with the highest probability of correspondence and assumes it is the correct association. This can be written as + +\begin{equation} +\hat{c}_t^=argmax_{c}p(z_t|c_{1:t},m,z_{1:t-1},u_{1:t}) +\end{equation} + +In other words, given the robot's past measurement corresponcences, map, past measurements and past control inputs, we can get which landmark has the highest probability of producing measurement. + +In practice, we find this by calculating the expected measurement and measurement covariance for every landmark in the map. We can then use these to calculate the measurement probability for every landmark and then select the landmark with the highest probability. The algorithm goes as follows: + +\begin{figure}[H] +\centering +\includegraphics[]{algorithm_fig1} +\caption{Algorithm} +\end{figure} + +There are alternative methods that are more robust to incorrect associations. Multi-Hypothesis Tracking is one of those, but the maximum likelihood method is the simplest. + \section {Summary} We have introduced 3 different implementations of SLAM, which are Gaussian SLAM (based on EKF and KF), Graph SLAM, and Fast SLAM (based on particle filter). 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lecture_14/main.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index 44788cc..093d42a 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -462,7 +462,7 @@ \section{ROS packages with SLAM implementations} \subsubsection*{Contributors} -Winter 2019: Colin Shi, Bernard Lange, Paul Planeix, William Brannon +Winter 2019: Colin Shi, Bernard Lange, Paul Planeix, William Brannon, Sherry (Xuejiao) Li \\ Winter 2018: Bo Kim, Matt Subrahmanyam, Ianis Bougdal-Lambert, Michelle Zhang, Barrett Weiss, Eric Ballouz From 3bbab2a53dea3ba4574f9423fedb1905c3dfb939 Mon Sep 17 00:00:00 2001 From: xjli1013 <48336581+xjli1013@users.noreply.github.com> Date: Thu, 7 Mar 2019 18:12:40 -0800 Subject: [PATCH 12/22] Update main.tex --- lecture_14/main.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index 093d42a..9c784f5 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -413,7 +413,7 @@ \section{ROS packages with SLAM implementations} \item RGBD SLAM: uses RGB-D cameras (e.g. Microsoft Kinect). \end{enumerate} -\section {EKF SLAM with unkown correspondences} +\section {EKF SLAM with unknown correspondences} We want to add discussion of EKF SLAM with unknown correspondences. We are still doing localization, but this time, the robot starts with a map of landmarks that does not change over the course of its run. So the difference is when the robot gets a range and bearing measurement, it will not know to which landmark that measurement corresponds. From 03574c69b67f80ec5450175e99607955f402baca Mon Sep 17 00:00:00 2001 From: xjli1013 <48336581+xjli1013@users.noreply.github.com> Date: Thu, 7 Mar 2019 18:15:38 -0800 Subject: [PATCH 13/22] Update main.tex --- lecture_14/main.tex | 1 + 1 file changed, 1 insertion(+) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index 9c784f5..d7db2be 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -459,6 +459,7 @@ \section{ROS packages with SLAM implementations} \item S. Thrun, W. Burgard, and D. Fox. Probabilistic robotics. MIT press, 2005. \item ROS (Robot Operating System) Documentation wiki.ros.org \item OpenSLAM https://openslam-org.github.io/ +\item EKF Localization With Unknown correspondence http://andrewjkramer.net/intro-to-the-ekf-step-2/ \subsubsection*{Contributors} From b3ef647658bb0a1c1f0241aacfa7ce6d8e2234f7 Mon Sep 17 00:00:00 2001 From: xjli1013 <48336581+xjli1013@users.noreply.github.com> Date: Thu, 7 Mar 2019 19:53:52 -0800 Subject: [PATCH 14/22] Update main.tex --- lecture_14/main.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index d7db2be..582d63f 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -425,7 +425,7 @@ \section{ROS packages with SLAM implementations} \subsection {Maximum Likelihood Data Association} -In maximum likelihood data association, the robot computes the probability that its current measurement corresponds to every landmark in its map. It then chooses the landmark with the highest probability of correspondence and assumes it is the correct association. This can be written as +In maximum likelihood data association, the robot computes the probability that its current measurement corresponds to every landmark in its map. It then chooses the landmark with the highest probability of correspondence and assumes it is the correct association. This can be written as: \begin{equation} \hat{c}_t^=argmax_{c}p(z_t|c_{1:t},m,z_{1:t-1},u_{1:t}) @@ -437,7 +437,7 @@ \section{ROS packages with SLAM implementations} \begin{figure}[H] \centering -\includegraphics[]{algorithm_fig1} +\includegraphics[scale=0.5]{algorithm_fig1} \caption{Algorithm} \end{figure} From b90ac484da673b34cc0d538e92595e0a95382e7a Mon Sep 17 00:00:00 2001 From: xjli1013 <48336581+xjli1013@users.noreply.github.com> Date: Thu, 7 Mar 2019 20:04:11 -0800 Subject: [PATCH 15/22] Add files via upload --- lecture_14/main.pdf | Bin 381588 -> 592586 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/lecture_14/main.pdf b/lecture_14/main.pdf index 775d084ef6635f97c9fa7c866933eedd69f349ab..94b95a1b04a771973d9f64ccc6289c7beb773f51 100644 GIT binary patch literal 592586 zcmeFYRdijw66fidA!dr1nVBhOW@ct)j@gcxnPSHjGcz+YGcz;JN$!_>Z%_A{nU{I! zwfe<-Tl;LORFbNGf9V_&IUx}m23jU)lHR@Ry_3S5oXOsPXl8tRd|LwxXl`zNIw@lt 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with SLAM implementations} \subsection {Maximum Likelihood Data Association} -In maximum likelihood data association, the robot computes the probability that its current measurement corresponds to every landmark in its map. It then chooses the landmark with the highest probability of correspondence and assumes it is the correct association. This can be written as: +In maximum likelihood data association, the robot computes the probability that its current measurement corresponds to every landmark in its map. It then chooses the landmark with the highest probability of correspondence and assumes it is the correct association. This can be written as \begin{equation} \hat{c}_t^=argmax_{c}p(z_t|c_{1:t},m,z_{1:t-1},u_{1:t}) @@ -437,7 +437,7 @@ \section{ROS packages with SLAM implementations} \begin{figure}[H] \centering -\includegraphics[scale=0.5]{algorithm_fig1} +\includegraphics[width=0.7\columnwidth]{algorithm_fig1} \caption{Algorithm} \end{figure} From e40c8ea976cfd220bf290a3207a7259d1a6087a6 Mon Sep 17 00:00:00 2001 From: akash131295 <48163558+akash131295@users.noreply.github.com> Date: Thu, 7 Mar 2019 22:11:10 -0800 Subject: [PATCH 17/22] Add files via upload --- lecture_14/main.pdf | Bin 592586 -> 381588 bytes lecture_14/main.tex | 20 ++++++++++++++++++-- 2 files changed, 18 insertions(+), 2 deletions(-) diff --git a/lecture_14/main.pdf b/lecture_14/main.pdf index 94b95a1b04a771973d9f64ccc6289c7beb773f51..775d084ef6635f97c9fa7c866933eedd69f349ab 100644 GIT binary patch delta 339479 zcmY(q1ymhN6D>?aAiEu^(NyPmYxQm2H#T01eSvXpIY45LSNg) z*hOCtpB5b9)3eYrvasM&3*)Qe)6y`|;?vPG;;Z9ROX1Tq;8P2LLuO`1dVFe0@Kbzh 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z1>zV0a){?JV6y~W8+$19+MWk|--5s?^?&FAfI$)G2NcSKcqRnOUfT!Z*tM|-zSI4_ zw!1hP0U-dKeq~ZnvGRg{b%arKJhr!Yp@uKT@U*KB?ab||0ag6 diff --git a/lecture_14/main.tex b/lecture_14/main.tex index e47e62e..e237be8 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -6,6 +6,7 @@ \usepackage[sc]{mathpazo} \usepackage[ruled]{algorithm2e} \usepackage{enumitem} +\usepackage{hyperref} \renewcommand{\sfdefault}{kurier} @@ -437,7 +438,7 @@ \section{ROS packages with SLAM implementations} \begin{figure}[H] \centering -\includegraphics[width=0.7\columnwidth]{algorithm_fig1} +\includegraphics[]{algorithm_fig1} \caption{Algorithm} \end{figure} @@ -453,6 +454,21 @@ \section{ROS packages with SLAM implementations} Fast SLAM is the most natural representation of multimodal beliefs, able to handle any non-parametric distribution. It is the easiest to implement, relying on conditional independence to factorize the distribution to speed up computation. However, the problem does not scale well in large dimensions, and a large sample of particles is required for good convergence. Naive implementation is intractable due to the excessively large number of particles. A way to tackle this issue would be to use multiple filters; one estimator for trajectory and one for each landmark. +\section {Other Resources/Additional Reading} +\begin{itemize} + \item \textbf{Books:} + \item Probabilistic Robotics (Intelligent RObotics and Autonomous Agents Series) - Sbeastian Thrun, Wolfram Burgard, and Dieter Fox + \item Simultaneous Localization and Mapping - Exactly Sparse Information Filters (New Frontiers in Robotics) - Zhan Wang, Shoudong Hang, Gamini Dissanayake + \item 3D Robotic Mapping: The Simultaneous Localization and Mapping Problem with Six Degrees of Freedom - Andreas Nuchter +\item \textbf{Open Source Software Packages:} + \item \href{https://www.openslam.org/}{https://www.openslam.org/} :contains a comprehensive list of SLAM software + \item \href{http://www.robots.ox.ac.uk/~gk/PTAM/}{http://www.robots.ox.ac.uk/~gk/PTAM/}: Visual SLAM + \item \href{https://developers.google.com/tango/developer-overview}{https://developers.google.com/tango/developer-overview}: Project Tango + \item \href{http://www.rawseeds.org/home/}{http://www.rawseeds.org/home/}: collection of benchmarked datasets + \item \href{https://vision.in.tum.de/research/vslam/lsdslam?redirect=1}{https://vision.in.tum.de/research/vslam/lsdslam?redirect=1} : Large-Scale Direct Monocular SLAM + \item \href{http://www.informatik.uni-freiburg.de/data/chairs/ais/openslam-the-resource-for-open-source-slam-implementations}{http://www.informatik.uni-freiburg.de/data/chairs/ais/openslam-the-resource-for-open-source-slam-implementations}: University of Freiburg +\end{itemize} + \section {References} \begin{enumerate}[label={[\arabic*]}] \item R. Siegwart, I. R. Nourbakhsh, D. Scaramuzza.Introduction to Autonomous Mobile Robots. MIT Press, 2nd Edition, 2011 @@ -463,7 +479,7 @@ \section{ROS packages with SLAM implementations} \subsubsection*{Contributors} -Winter 2019: Colin Shi, Bernard Lange, Paul Planeix, William Brannon, Sherry (Xuejiao) Li +Winter 2019: Colin Shi, Bernard Lange, Paul Planeix, William Brannon, Sherry (Xuejiao) Li, Akash Singhal \\ Winter 2018: Bo Kim, Matt Subrahmanyam, Ianis Bougdal-Lambert, Michelle Zhang, Barrett Weiss, Eric Ballouz From 7f004d30f4b7f86cb44c51954c0655318b391edf Mon Sep 17 00:00:00 2001 From: akash131295 <48163558+akash131295@users.noreply.github.com> Date: Thu, 7 Mar 2019 22:23:33 -0800 Subject: [PATCH 18/22] Add files via upload --- lecture_14/main.pdf | Bin 381588 -> 493320 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/lecture_14/main.pdf b/lecture_14/main.pdf index 775d084ef6635f97c9fa7c866933eedd69f349ab..3ca2f9c6ab8468b996599034a0b4fe17e60aa7ee 100644 GIT binary patch delta 191901 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z-=~~|>HoeqO)>;B3Rl(H$kEZvl!#H{U%#^1f3U6p_Vgb=W8qHRAOhw{W=6+M;|YZn z_~)e~Vw4sm(&01aGG<}rHeuo5W@hFxV`XDu;$~(yV`JywX6I%xXEzbx<7PAA;O62q z;p8@FVKOpdVlp=|Hs|DIVKy=|;$mVq70~;CL$ui@#z4Rn5-0f?aI$c4F=|3dPNM7) zGZ}Cs8JWUlpi}kB?8yB vOA230IQhQKN({#chozfn|AkqIHmQ`>c From 0f666ab88fa36cb3d44efadb0d63974035b73b26 Mon Sep 17 00:00:00 2001 From: xjli1013 <48336581+xjli1013@users.noreply.github.com> Date: Thu, 7 Mar 2019 22:24:27 -0800 Subject: [PATCH 19/22] Update main.tex --- lecture_14/main.tex | 34 ++++++++++++++++++---------------- 1 file changed, 18 insertions(+), 16 deletions(-) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index e237be8..58f232b 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -397,22 +397,6 @@ \section{Fast-SLAM Algorithm} \caption{Fast-SLAM Algorithm} \label{alg:fastslam} \end{algorithm} -\section{ROS packages with SLAM implementations} -Below, we have compiled a list of the most popular ROS packages with SLAM implementations with short description based on the information available on wiki.ros.org and openslam-org.gihub.io. -\begin{enumerate} - \item Gmapping: Implementation of OpenSlam's Gmapping which provides a 2-D occupancy grid based on a laser scan and a pose data. It uses Rao-Blackwellized particle filer which allows to solve the simultaneous localization and mapping problem where each particle represents an individual map of the environment. - \item TinySlam: The simplest and lightweight SLAM implementation based on laser range data and odometry - \item MRPT (Mobile Robot Programming Toolkit, C++) based packages: - \begin{enumerate} - \item EKF SLAM 2D: EKF-based package. It uses range-bearing sensors, odometry, 2D robot pose and 2D landmarks. - \item EKF SLAM 3D: EKF-based package. It uses range-bearing sensors, odometry, 6D robot pose and 3D landmarks. - \item GRAPH SLAM 2D: single robot or multi-robot pose-only graphSLAM. It uses laser scans and odometry. - \item ICP SLAM 2D: ICP-based package (Iterative Closest Points). It uses 2D laser scans. Builds only small to midsized maps. Larger maps requires more advanced implementations - \item RBPF SLAM: Rao Blackwellized based package. Uses range-only. - \end{enumerate} - \item Hector SLAM: LIDAR based SLAM that can be used without odometry. It can be used on robots with roll/pitch motion of the sensor, robot and both. - \item RGBD SLAM: uses RGB-D cameras (e.g. Microsoft Kinect). -\end{enumerate} \section {EKF SLAM with unknown correspondences} @@ -444,6 +428,24 @@ \section{ROS packages with SLAM implementations} There are alternative methods that are more robust to incorrect associations. Multi-Hypothesis Tracking is one of those, but the maximum likelihood method is the simplest. +\section{ROS packages with SLAM implementations} +Below, we have compiled a list of the most popular ROS packages with SLAM implementations with short description based on the information available on wiki.ros.org and openslam-org.gihub.io. +\begin{enumerate} + \item Gmapping: Implementation of OpenSlam's Gmapping which provides a 2-D occupancy grid based on a laser scan and a pose data. It uses Rao-Blackwellized particle filer which allows to solve the simultaneous localization and mapping problem where each particle represents an individual map of the environment. + \item TinySlam: The simplest and lightweight SLAM implementation based on laser range data and odometry + \item MRPT (Mobile Robot Programming Toolkit, C++) based packages: + \begin{enumerate} + \item EKF SLAM 2D: EKF-based package. It uses range-bearing sensors, odometry, 2D robot pose and 2D landmarks. + \item EKF SLAM 3D: EKF-based package. It uses range-bearing sensors, odometry, 6D robot pose and 3D landmarks. + \item GRAPH SLAM 2D: single robot or multi-robot pose-only graphSLAM. It uses laser scans and odometry. + \item ICP SLAM 2D: ICP-based package (Iterative Closest Points). It uses 2D laser scans. Builds only small to midsized maps. Larger maps requires more advanced implementations + \item RBPF SLAM: Rao Blackwellized based package. Uses range-only. + \end{enumerate} + \item Hector SLAM: LIDAR based SLAM that can be used without odometry. It can be used on robots with roll/pitch motion of the sensor, robot and both. + \item RGBD SLAM: uses RGB-D cameras (e.g. Microsoft Kinect). +\end{enumerate} + + \section {Summary} We have introduced 3 different implementations of SLAM, which are Gaussian SLAM (based on EKF and KF), Graph SLAM, and Fast SLAM (based on particle filter). From 52c5b1e6ebaa5d52cae89d45d5516864e96eecc2 Mon Sep 17 00:00:00 2001 From: xjli1013 <48336581+xjli1013@users.noreply.github.com> Date: Thu, 7 Mar 2019 22:29:42 -0800 Subject: [PATCH 20/22] Update main.tex --- lecture_14/main.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lecture_14/main.tex b/lecture_14/main.tex index 58f232b..d93f3d2 100644 --- a/lecture_14/main.tex +++ b/lecture_14/main.tex @@ -422,7 +422,7 @@ \section{Fast-SLAM Algorithm} \begin{figure}[H] \centering -\includegraphics[]{algorithm_fig1} +\includegraphics[width=0.7\columnwidth]{algorithm_fig1} \caption{Algorithm} \end{figure} From a0d3f32603d591e92a145ce71c34ef7f2509e41d Mon Sep 17 00:00:00 2001 From: Bernard Lange <31079132+BenQLange@users.noreply.github.com> Date: Thu, 7 Mar 2019 22:39:28 -0800 Subject: [PATCH 21/22] Delete main.pdf --- lecture_14/main.pdf | Bin 493320 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 lecture_14/main.pdf diff --git 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