Robotics: Science and Systems XIII 2017
DOI: 10.15607/rss.2017.xiii.016
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Bingham Distribution-Based Linear Filter for Online Pose Estimation

Abstract: Abstract-Pose estimation is central to several robotics applications such as registration, hand-eye calibration, SLAM, etc. Online pose estimation methods typically use Gaussian distributions to describe the uncertainty in the pose parameters. Such a description can be inadequate when using parameters such as unit-quaternions that are not unimodally distributed. A Bingham distribution can effectively model the uncertainty in unit-quaternions, as it has antipodal symmetry and is defined on a unit-hypersphere. A… Show more

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Cited by 18 publications
(4 citation statements)
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“…Sparse ICP [BTP13] can effectively solve the registration problem of sparse point clouds. Simultaneously, several methods [JH02, RXZC17, ZL18] have been offered to improve the calculation efficiency. However, these methods do not address the sensitivity to initial disturbances.…”
Section: Related Workmentioning
confidence: 99%
“…Sparse ICP [BTP13] can effectively solve the registration problem of sparse point clouds. Simultaneously, several methods [JH02, RXZC17, ZL18] have been offered to improve the calculation efficiency. However, these methods do not address the sensitivity to initial disturbances.…”
Section: Related Workmentioning
confidence: 99%
“…Classic registration algorithms for point clouds mainly include the iterative closest point (ICP) algorithm [11,12], variants of ICP [13][14][15][16][17][18][19] and geometry-based registration algorithms [20][21][22][23][24].…”
Section: Classic Registration Algorithmsmentioning
confidence: 99%
“…When the relative pose deviation of the pairwise point clouds is small, the algorithm is guaranteed convergence and can obtain an excellent registration result. Scholars have made various improvements to the ICP algorithm to enhance registration efficiency [16] and accuracy [17][18][19]. However, all ICP-style algorithms still rely on the direct calculation of the closest point correspondences; moreover, they cannot dynamically adjust according to the number of points and easily fall into local minima.…”
Section: Classic Registration Algorithmsmentioning
confidence: 99%
“…However, the method cannot fit the deep learning frameworks well since the space of orientations lies on a nonlinear and closed manifold that belongs to a non‐Euclidean space [7]. For example, rotation matrices can lead to the discontinuity feature [8]; quaternions have a double embedding with the existence of two symmetric local minima [9]. Moreover, the accuracy of the orientation in some works may degrade when considering uncertainties of orientations, such as the rotational symmetries of objects.…”
Section: Introductionmentioning
confidence: 99%