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This paper presents a new approach to the multi-robot map-alignment problem that enables teams of robots to build joint maps without initial knowledge of their relative poses. The key contribution of this work is an optimal algorithm for merging (not necessarily overlapping) maps that are created by different robots independently. Relative pose measurements(More)
This paper presents two new, efficient solutions to the two-view, relative pose problem from three image point correspondences and one common reference direction. This three-plus-one problem can be used either as a substitute for the classic five-point algorithm, using a vanishing point for the reference direction, or to make use of an inertial measurement(More)
In this paper, we address the problem of determining the 2-D relative pose of pairs of communicating robots from (1) robot-to-robot distance measurements and (2) displacement estimates expressed in each robot's reference frame. Specifically, we prove that for nonsingular configurations, the minimum number of distance measurements required for determining(More)
In this paper, we address the problem of motion-induced 3-D robot-to-robot extrinsic calibration that is based on ego-motion estimates and combinations of interrobot measurements (i.e., distance and/or bearing observations from either or both of the two robots, recorded across multiple time steps). In particular, we focus on solving minimal problems, where(More)
In this paper, we address the problem of motion-induced 3D robot-to-robot extrinsic calibration based on different combinations of inter-robot measurements (i.e., distance and/or bearing observations) and ego-motion estimates, recorded across multiple time steps. In particular, we focus on solving minimal problems where the unknown 6-degree-of-freedom(More)
In this paper, we address the problem of motioninduced 3D extrinsic calibration based on different combinations of inter-robot measurements (i.e., distance and/or bearing observations from either or both of the two robots, recorded across multiple time steps) and ego-motion estimates. In particular, we focus on solving minimal problems where the unknown(More)
This paper proposes a real-time navigation approach that is able to integrate many sensor types while fulfilling performance needs and system constraints. Our approach uses a plug-and-play factor graph framework, which extends factor graph formulation to encode sensor measurements with different frequencies, latencies, and noise distributions. It provides a(More)
This paper addresses the problem of determining the optimal robot trajectory for localizing a robot follower in a leader-follower formation using robot-to-robot distance or bearing measurements. In particular, maintaining a perfect formation has been shown to reduce the localization accuracy (as compared to moving randomly), or even leads to loss of(More)
In this paper, we provide a study of motion-induced 3-D extrinsic calibration based on robot-to-robot sensor measurements. In particular, we introduce algebraic methods to compute the relative translation and rotation between two robots using known robot motion and robot-to-robot (1) distance and bearing, (2) bearing-only, and (3) distance-only(More)
In this paper, we present three fast, hybrid numericalgebraic methods to solve polynomial systems in floating point representation, based on the eigendecomposition of a so-called multiplication matrix. In particular, these methods run using standard double precision, use only linear algebra packages, and are easy to implement. We provide the proof that(More)