scholarly journals Path Planning with Loop Closure Constraints Using an Atlas-Based RRT

Author(s):  
Léonard Jaillet ◽  
Josep M. Porta
Author(s):  
Tanaka Kanji ◽  

Loop closure detection, which is the task of identifying locations revisited by a robot in a sequence of odometry and perceptual observations, is typically formulated as a combination of two subtasks: (1) bag-of-words image retrieval and (2) post-verification using random sample consensus (RANSAC) geometric verification. The main contribution of this study is the proposal of a novel post-verification framework that achieves good precision recall trade-off in loop closure detection. This study is motivated by the fact that not all loop closure hypotheses are equally plausible (e.g., owing to mutual consistency between loop closure constraints) and that if we have evidence that one hypothesis is more plausible than the others, then it should be verified more frequently. We demonstrate that the loop closure detection problem can be viewed as an instance of a multi-model hypothesize-and-verify framework. Thus, we can build guided sampling strategies on this framework where loop closures proposed using image retrieval are verified in a planned order (rather than in a conventional uniform order) to operate in a constant time. Experimental results using a stereo simultaneous localization and mapping (SLAM) system confirm that the proposed strategy, the use of loop closure constraints and robot trajectory hypotheses as a guide, achieves promising results despite the fact that there exists a significant number of false positive constraints and hypotheses.


Robotica ◽  
2018 ◽  
Vol 36 (11) ◽  
pp. 1641-1663 ◽  
Author(s):  
Andreas Müller

SUMMARYModeling the instantaneous kinematics of lower pair linkages using joint screws and the finite kinematics with Lie group concepts is well established on a solid theoretical foundation. This allows for modeling the forward kinematics of mechanisms as well the loop closure constraints of kinematic loops. Yet there is no established approach to the modeling of complex mechanisms possessing multiple kinematic loops. For such mechanisms, it is crucial to incorporate the kinematic topology within the modeling in a consistent and systematic way. To this end, in this paper a kinematic model graph is introduced that gives rise to an ordering of the joints within a mechanism and thus allows to systematically apply established kinematics formulations. It naturally gives rise to topologically independent loops and thus to loop closure constraints. Geometric constraints as well as velocity and acceleration constraints are formulated in terms of joint screws. An extension to higher order loop constraints is presented. It is briefly discussed how the topology representation can be used to amend structural mobility criteria.


Author(s):  
Udo Rein

Abstract Overconstrained mechanisms contain loop-closure constraints which are redundant due to a special geometry of the links. Some reaction forces of an overconstrained mechanism cannot be calculated from the dynamics of the mechanism. This means that an overconstrained mechanism is statically indeterminate. The recursive formalism was originally developed to derive the equations of motion for open-loop kinematic chains, but it has been extended by various authors to closed-loop mechanisms. This paper discusses the recursive formalism when it is applied to an overconstrained closed-loop mechanism. It will be shown that the redundant loop-closure constraints lead to rather small singular, but consistent sets of linear equations for the reaction forces at the corresponding cut joints. This means that the reaction forces at those cut joints are not unique for an overconstrained mechanism, but the variety of possible solutions does not affect the dynamics of the overconstrained mechanism. This behaviour of the recursive formalism can be used to perform an on-line investigation of the static indeterminacy of a mechanism, including singular positions, where joint constraints are redundant only at one specific position.


Author(s):  
Edward Reutzel ◽  
Kevin Gombotz ◽  
Richard Martukanitz ◽  
Panagiotis Michaleris

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