On the Representation and Estimation of Spatial Uncertainty
@article{Smith1986OnTR, title={On the Representation and Estimation of Spatial Uncertainty}, author={Randall C. Smith and Peter C. Cheeseman}, journal={The International Journal of Robotics Research}, year={1986}, volume={5}, pages={56 - 68} }
This paper describes a general method for estimating the nominal relationship and expected error (covariance) between coordinate frames representing the relative locations of ob jects. The frames may be known only indirectly through a series of spatial relationships, each with its associated error, arising from diverse causes, including positioning errors, measurement errors, or tolerances in part dimensions. This estimation method can be used to answer such questions as whether a camera…
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References
SHOWING 1-6 OF 6 REFERENCES
Position referencing and consistent world modeling for mobile robots
- Computer ScienceProceedings. 1985 IEEE International Conference on Robotics and Automation
- 1985
The approach proposed in this paper relies on the use of a multisensory system, favo ring of the data collected by the more accurate sensor in a given situation, averaging of different but consistent measurements of the same entity weighted with their associated uncertainties.
Visual map making for a mobile robot
- Computer ScienceProceedings. 1985 IEEE International Conference on Robotics and Automation
- 1985
The key idea is to use a relational map, which is rubbery and stretchy, rather than try to place observations in a 2-d coordinate system.
Symbolic Error Analysis and Robot Planning
- Computer Science
- 1982
The mathe matical underpinnings for building programs (plan checkers) that carry out the second approach automatically, which uses a geometric, computer-aided design (CAD) type of data base to infer the effects of actions and the propa gation of errors.
Applied Optimal Estimation
- Computer Science
- 1974
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.