Log-GPIS-MOP: A Unified Representation for Mapping, Odometry and Planning

Fuente: arXiv
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Main Authors: Wu, Lan, Lee, Ki Myung Brian, Gentil, Cedric Le, Vidal-Calleja, Teresa
Format: Preprint
Published: 2022
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author Wu, Lan
Lee, Ki Myung Brian
Gentil, Cedric Le
Vidal-Calleja, Teresa
author_facet Wu, Lan
Lee, Ki Myung Brian
Gentil, Cedric Le
Vidal-Calleja, Teresa
contents Whereas dedicated scene representations are required for each different task in conventional robotic systems, this paper demonstrates that a unified representation can be used directly for multiple key tasks. We propose the Log-Gaussian Process Implicit Surface for Mapping, Odometry and Planning (Log-GPIS-MOP): a probabilistic framework for surface reconstruction, localisation and navigation based on a unified representation. Our framework applies a logarithmic transformation to a Gaussian Process Implicit Surface (GPIS) formulation to recover a global representation that accurately captures the Euclidean distance field with gradients and, at the same time, the implicit surface. By directly estimating the distance field and its gradient through Log-GPIS inference, the proposed incremental odometry technique computes the optimal alignment of an incoming frame and fuses it globally to produce a map. Concurrently, an optimisation-based planner computes a safe collision-free path using the same Log-GPIS surface representation. We validate the proposed framework on simulated and real datasets in 2D and 3D and benchmark against the state-of-the-art approaches. Our experiments show that Log-GPIS-MOP produces competitive results in sequential odometry, surface mapping and obstacle avoidance.
format Preprint
id arxiv_https___arxiv_org_abs_2206_09506
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Log-GPIS-MOP: A Unified Representation for Mapping, Odometry and Planning
Wu, Lan
Lee, Ki Myung Brian
Gentil, Cedric Le
Vidal-Calleja, Teresa
Robotics
Whereas dedicated scene representations are required for each different task in conventional robotic systems, this paper demonstrates that a unified representation can be used directly for multiple key tasks. We propose the Log-Gaussian Process Implicit Surface for Mapping, Odometry and Planning (Log-GPIS-MOP): a probabilistic framework for surface reconstruction, localisation and navigation based on a unified representation. Our framework applies a logarithmic transformation to a Gaussian Process Implicit Surface (GPIS) formulation to recover a global representation that accurately captures the Euclidean distance field with gradients and, at the same time, the implicit surface. By directly estimating the distance field and its gradient through Log-GPIS inference, the proposed incremental odometry technique computes the optimal alignment of an incoming frame and fuses it globally to produce a map. Concurrently, an optimisation-based planner computes a safe collision-free path using the same Log-GPIS surface representation. We validate the proposed framework on simulated and real datasets in 2D and 3D and benchmark against the state-of-the-art approaches. Our experiments show that Log-GPIS-MOP produces competitive results in sequential odometry, surface mapping and obstacle avoidance.
title Log-GPIS-MOP: A Unified Representation for Mapping, Odometry and Planning
topic Robotics
url https://arxiv.org/abs/2206.09506