2012 IEEE/RSJ International Conference on Intelligent Robots and Systems 2012
DOI: 10.1109/iros.2012.6385779
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Robust optimization of factor graphs by using condensed measurements

Abstract: Abstract-Popular problems in robotics and computer vision like simultaneous localization and mapping (SLAM) or structure from motion (SfM) require to solve a least-squares problem that can be effectively represented by factor graphs. The chance to find the global minimum of such problems depends on both the initial guess and the non-linearity of the sensor models. In this paper we propose an approach to determine an approximation of the original problem that has a larger convergence basin. To this end, we empl… Show more

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Cited by 43 publications
(28 citation statements)
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“…To improve the performance of Linear SLAM, we recommend to use nonlinear optimization techniques to build high quality small local maps (accurate estimate and small covariance matrix) taking into account the connectivity of the local map graph [43], and then apply our linear map joining algorithm. Furthermore, the solution from Linear SLAM (using least squares to build local maps without marginalization) can be used as an (excellent) initial guess for the iterative approaches to solve the full nonlinear least squares SLAM, similar to T-SAM2 [44] or [39]. However, this will add more nonlinear components in the algorithm.…”
Section: Discussionmentioning
confidence: 99%
“…To improve the performance of Linear SLAM, we recommend to use nonlinear optimization techniques to build high quality small local maps (accurate estimate and small covariance matrix) taking into account the connectivity of the local map graph [43], and then apply our linear map joining algorithm. Furthermore, the solution from Linear SLAM (using least squares to build local maps without marginalization) can be used as an (excellent) initial guess for the iterative approaches to solve the full nonlinear least squares SLAM, similar to T-SAM2 [44] or [39]. However, this will add more nonlinear components in the algorithm.…”
Section: Discussionmentioning
confidence: 99%
“…Works on SLAM, for instance, often report the chi-squared test as a measure of solution quality [19] or the optimization objective itself, which is related to the joint observation likelihood [20]. Similarly, observation likelihood is used as an optimization objective in [21] to select Kalman filter parameters.…”
Section: Statistical Metricsmentioning
confidence: 99%
“…This may be overly restrictive in high-bandwidth systems, but it is necessary in underwater scenarios (where packets are often dropped), since it allows for reasonable scalability of packet sizes. The work of [24] uses the condensed measurement approach introduced in [25]. Specifically, each robot communicates the following information: (i) the last laser scan, (ii) the upto-date estimates of the previous N nodes where N is the number of nodes since the last transmission, (iii) the indexes of the other robots' local maps that they have matched with their own, and (iv) part of the condensed graph computed using the process in [25].…”
Section: A C-slammentioning
confidence: 99%
“…The work of [24] uses the condensed measurement approach introduced in [25]. Specifically, each robot communicates the following information: (i) the last laser scan, (ii) the upto-date estimates of the previous N nodes where N is the number of nodes since the last transmission, (iii) the indexes of the other robots' local maps that they have matched with their own, and (iv) part of the condensed graph computed using the process in [25]. This approach can scale well with respect to the team size, however the packet size is on the order of 2.5 KBytes.…”
Section: A C-slammentioning
confidence: 99%