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Open AccessBook ChapterDOI

Error modeling in stereo navigation

Larry Matthies, +1 more
- Vol. 3, Iss: 3, pp 239-248
TLDR
In this article, a 3D Gaussian distribution is used to model triangulation error in stereo vision for a mobile robot that estimates its position by tracking landmarks with on-board cameras.
Abstract
In stereo navigation, a mobile robot estimates its position by tracking landmarks with on-board cameras. Previous systems for stereo navigation have suffered from poor accuracy, in part because they relied on scalar models of measurement error in triangulation. Using three-dimensional (3D) Gaussian distributions to model triangulation error is shown to lead to much better performance. How to compute the error model from image correspondences, estimate robot motion between frames, and update the global positions of the robot and the landmarks over time are discussed. Simulations show that, compared to scalar error models, the 3D Gaussian reduces the variance in robot position estimates and better distinguishes rotational from translational motion. A short indoor run with real images supported these conclusions and computed the final robot position to within two percent of distance and one degree of orientation. These results illustrate the importance of error modeling in stereo vision for this and other applications.

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Iterative point matching for registration of free-form curves and surfaces

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Mobile robot localization by tracking geometric beacons

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Vision for mobile robot navigation: a survey

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Visual Odometry [Tutorial]

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Proceedings ArticleDOI

Simultaneous map building and localization for an autonomous mobile robot

TL;DR: Discusses a significant open problem in mobile robotics: simultaneous map building and localization, which the authors define as long-term globally referenced position estimation without a priori information.
References
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Book

Applied Optimal Estimation

Arthur Gelb
TL;DR: This is the first book on the optimal estimation that places its major emphasis on practical applications, treating the subject more from an engineering than a mathematical orientation, and the theory and practice of optimal estimation is presented.
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On the representation and estimation of spatial uncertainly

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Spacecraft attitude determination and control

TL;DR: In this article, the first comprehensive presentation of data, theory, and practice in attitude analysis is presented, including orthographic globe projections to eliminate confusion in vector drawings and a presentation of new geometrical procedures for mission analysis and attitude accuracy studies which can eliminate many complex simulations.
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Uniqueness and Estimation of Three-Dimensional Motion Parameters of Rigid Objects with Curved Surfaces

TL;DR: In this article, it was shown that seven point correspondences are sufficient to uniquely determine from two perspective views the three-dimensional motion parameters (within a scale factor for the translations) of a rigid object with curved surfaces.