A Novel Distribution for Representation of 6D Pose Uncertainty

The 6D Pose estimation is a crux in many applications, such as visual perception, autonomous navigation, and spacecraft motion. For robotic grasping, the cluttered and self-occlusion scenarios bring new challenges to the this field. Currently, society uses CNNs to solve this problem. The CNN models...

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Main Authors: Lei Zhang, Huiliang Shang, Yandan Lin
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/13/1/126
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author Lei Zhang
Huiliang Shang
Yandan Lin
author_facet Lei Zhang
Huiliang Shang
Yandan Lin
author_sort Lei Zhang
collection DOAJ
description The 6D Pose estimation is a crux in many applications, such as visual perception, autonomous navigation, and spacecraft motion. For robotic grasping, the cluttered and self-occlusion scenarios bring new challenges to the this field. Currently, society uses CNNs to solve this problem. The CNN models will suffer high uncertainty caused by the environmental factors and the object itself. These models usually maintain a Gaussian distribution, which is not suitable for the underlying manifold structure of the pose. Many works decouple rotation from the translation and quantify rotational uncertainty. Only a few works pay attention to the uncertainty of the 6D pose. This work proposes a distribution that can capture the uncertainty of the 6D pose parameterized by the dual quaternions, meanwhile, the proposed distribution takes the periodic nature of the underlying structure into account. The presented results include the normalization constant computation and parameter estimation techniques of the distribution. This work shows the benefits of the proposed distribution, which provides a more realistic explanation for the uncertainty in the 6D pose and eliminates the drawback inherited from the planar rigid motion.
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spelling doaj.art-ca75a53d67fd4ee3be9ee8cb48c33d862023-11-23T14:45:22ZengMDPI AGMicromachines2072-666X2022-01-0113112610.3390/mi13010126A Novel Distribution for Representation of 6D Pose UncertaintyLei Zhang0Huiliang Shang1Yandan Lin2Academy for Engineering and Technology, Fudan University, Shanghai 200433, ChinaSchool of Information Science and Technology, Fudan University, Shanghai 200433, ChinaInstitute for Electric Light Sources, School of Information Science and Technology, Fudan University, Shanghai 200433, ChinaThe 6D Pose estimation is a crux in many applications, such as visual perception, autonomous navigation, and spacecraft motion. For robotic grasping, the cluttered and self-occlusion scenarios bring new challenges to the this field. Currently, society uses CNNs to solve this problem. The CNN models will suffer high uncertainty caused by the environmental factors and the object itself. These models usually maintain a Gaussian distribution, which is not suitable for the underlying manifold structure of the pose. Many works decouple rotation from the translation and quantify rotational uncertainty. Only a few works pay attention to the uncertainty of the 6D pose. This work proposes a distribution that can capture the uncertainty of the 6D pose parameterized by the dual quaternions, meanwhile, the proposed distribution takes the periodic nature of the underlying structure into account. The presented results include the normalization constant computation and parameter estimation techniques of the distribution. This work shows the benefits of the proposed distribution, which provides a more realistic explanation for the uncertainty in the 6D pose and eliminates the drawback inherited from the planar rigid motion.https://www.mdpi.com/2072-666X/13/1/126probability theorydual quaternionpose uncertaintylie groupBingham distribution
spellingShingle Lei Zhang
Huiliang Shang
Yandan Lin
A Novel Distribution for Representation of 6D Pose Uncertainty
Micromachines
probability theory
dual quaternion
pose uncertainty
lie group
Bingham distribution
title A Novel Distribution for Representation of 6D Pose Uncertainty
title_full A Novel Distribution for Representation of 6D Pose Uncertainty
title_fullStr A Novel Distribution for Representation of 6D Pose Uncertainty
title_full_unstemmed A Novel Distribution for Representation of 6D Pose Uncertainty
title_short A Novel Distribution for Representation of 6D Pose Uncertainty
title_sort novel distribution for representation of 6d pose uncertainty
topic probability theory
dual quaternion
pose uncertainty
lie group
Bingham distribution
url https://www.mdpi.com/2072-666X/13/1/126
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