Enhancing motion trajectory segmentation of rigid bodies using a novel screw-based trajectory-shape representation

Fuente: arXiv
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Main Authors: Verduyn, Arno, Vochten, Maxim, De Schutter, Joris
Format: Preprint
Published: 2023
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author Verduyn, Arno
Vochten, Maxim
De Schutter, Joris
author_facet Verduyn, Arno
Vochten, Maxim
De Schutter, Joris
contents Trajectory segmentation refers to dividing a trajectory into meaningful consecutive sub-trajectories. This paper focuses on trajectory segmentation for 3D rigid-body motions. Most segmentation approaches in the literature represent the body's trajectory as a point trajectory, considering only its translation and neglecting its rotation. We propose a novel trajectory representation for rigid-body motions that incorporates both translation and rotation, and additionally exhibits several invariant properties. This representation consists of a geometric progress rate and a third-order trajectory-shape descriptor. Concepts from screw theory were used to make this representation time-invariant and also invariant to the choice of body reference point. This new representation is validated for a self-supervised segmentation approach, both in simulation and using real recordings of human-demonstrated pouring motions. The results show a more robust detection of consecutive submotions with distinct features and a more consistent segmentation compared to conventional representations. We believe that other existing segmentation methods may benefit from using this trajectory representation to improve their invariance.
format Preprint
id arxiv_https___arxiv_org_abs_2309_11413
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Enhancing motion trajectory segmentation of rigid bodies using a novel screw-based trajectory-shape representation
Verduyn, Arno
Vochten, Maxim
De Schutter, Joris
Robotics
Computer Vision and Pattern Recognition
Trajectory segmentation refers to dividing a trajectory into meaningful consecutive sub-trajectories. This paper focuses on trajectory segmentation for 3D rigid-body motions. Most segmentation approaches in the literature represent the body's trajectory as a point trajectory, considering only its translation and neglecting its rotation. We propose a novel trajectory representation for rigid-body motions that incorporates both translation and rotation, and additionally exhibits several invariant properties. This representation consists of a geometric progress rate and a third-order trajectory-shape descriptor. Concepts from screw theory were used to make this representation time-invariant and also invariant to the choice of body reference point. This new representation is validated for a self-supervised segmentation approach, both in simulation and using real recordings of human-demonstrated pouring motions. The results show a more robust detection of consecutive submotions with distinct features and a more consistent segmentation compared to conventional representations. We believe that other existing segmentation methods may benefit from using this trajectory representation to improve their invariance.
title Enhancing motion trajectory segmentation of rigid bodies using a novel screw-based trajectory-shape representation
topic Robotics
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2309.11413