CROSS-COVARIANCE ESTIMATION FOR EKF-BASED INERTIAL AIDED MONOCULAR SLAM

Repeated observation of several characteristically textured surface elements allows the reconstruction of the camera trajectory and a sparse point cloud which is often referred to as "map". The extended Kalman filter (EKF) is a popular method to address this problem, especially if real-tim...

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Main Authors: M. Kleinert, U. Stilla
Format: Article
Language:English
Published: Copernicus Publications 2013-04-01
Series:The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
Online Access:http://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XXXVIII-3-W22/91/2011/isprsarchives-XXXVIII-3-W22-91-2011.pdf
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author M. Kleinert
U. Stilla
author_facet M. Kleinert
U. Stilla
author_sort M. Kleinert
collection DOAJ
description Repeated observation of several characteristically textured surface elements allows the reconstruction of the camera trajectory and a sparse point cloud which is often referred to as "map". The extended Kalman filter (EKF) is a popular method to address this problem, especially if real-time constraints have to be met. Inertial measurements as well as a parameterization of the state vector that conforms better to the linearity assumptions made by the EKF may be employed to reduce the impact of linearization errors. Therefore, we adopt an inertial-aided monocular SLAM approach where landmarks are parameterized in inverse depth w.r.t. the coordinate system in which they were observed for the first time. In this work we present a method to estimate the cross-covariances between landmarks which are introduced in the EKF state vector for the first time and the old filter state that can be applied in the special case at hand where each landmark is parameterized w.r.t. an individual coordinate system.
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spelling doaj.art-044800360a78459a843a5f25436743ab2022-12-22T01:55:05ZengCopernicus PublicationsThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences1682-17502194-90342013-04-01XXXVIII-3/W22919610.5194/isprsarchives-XXXVIII-3-W22-91-2011CROSS-COVARIANCE ESTIMATION FOR EKF-BASED INERTIAL AIDED MONOCULAR SLAMM. Kleinert0U. Stilla1Fraunhofer IOSB, Department Scene Analysis, Gutleuthausstr. 1, 76275 Ettlingen, GermanyTechnische Universität München, Photogrammetry and Remote Sensing, Arcisstrasse 21, 80333 München, GermanyRepeated observation of several characteristically textured surface elements allows the reconstruction of the camera trajectory and a sparse point cloud which is often referred to as "map". The extended Kalman filter (EKF) is a popular method to address this problem, especially if real-time constraints have to be met. Inertial measurements as well as a parameterization of the state vector that conforms better to the linearity assumptions made by the EKF may be employed to reduce the impact of linearization errors. Therefore, we adopt an inertial-aided monocular SLAM approach where landmarks are parameterized in inverse depth w.r.t. the coordinate system in which they were observed for the first time. In this work we present a method to estimate the cross-covariances between landmarks which are introduced in the EKF state vector for the first time and the old filter state that can be applied in the special case at hand where each landmark is parameterized w.r.t. an individual coordinate system.http://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XXXVIII-3-W22/91/2011/isprsarchives-XXXVIII-3-W22-91-2011.pdf
spellingShingle M. Kleinert
U. Stilla
CROSS-COVARIANCE ESTIMATION FOR EKF-BASED INERTIAL AIDED MONOCULAR SLAM
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
title CROSS-COVARIANCE ESTIMATION FOR EKF-BASED INERTIAL AIDED MONOCULAR SLAM
title_full CROSS-COVARIANCE ESTIMATION FOR EKF-BASED INERTIAL AIDED MONOCULAR SLAM
title_fullStr CROSS-COVARIANCE ESTIMATION FOR EKF-BASED INERTIAL AIDED MONOCULAR SLAM
title_full_unstemmed CROSS-COVARIANCE ESTIMATION FOR EKF-BASED INERTIAL AIDED MONOCULAR SLAM
title_short CROSS-COVARIANCE ESTIMATION FOR EKF-BASED INERTIAL AIDED MONOCULAR SLAM
title_sort cross covariance estimation for ekf based inertial aided monocular slam
url http://www.int-arch-photogramm-remote-sens-spatial-inf-sci.net/XXXVIII-3-W22/91/2011/isprsarchives-XXXVIII-3-W22-91-2011.pdf
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