Dynamic map building for an autonomous mobile robot
International Journal of Robotics Research
Revising hull and box consistency
Proceedings of the 1999 international conference on Logic programming
SIAM Journal on Numerical Analysis
Using interval arithmetic to prove that a set is path-connected
Theoretical Computer Science - Real numbers and computers
Incremental construction of the robot's environmental map using interval analysis
COCOS'03 Proceedings of the Second international conference on Global Optimization and Constraint Satisfaction
Technical Communique: Nonlinear bounded-error state estimation of continuous-time systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Certainty closure: Reliable constraint reasoning with incomplete or erroneous data
ACM Transactions on Computational Logic (TOCL)
Artificial Intelligence
A constraint on the number of distinct vectors with application to localization
CP'09 Proceedings of the 15th international conference on Principles and practice of constraint programming
Integrating ICP and LRA solvers for deciding nonlinear real arithmetic problems
Proceedings of the 2010 Conference on Formal Methods in Computer-Aided Design
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Since electromagnetic waves are strongly attenuated inside the water, the satellite based global positioning system (GPS) cannot be used by submarine robots except at the surface of the water. This paper shows that the localization problem in deep water can often be cast into a continuous constraints satisfaction problem where interval constraints propagation algorithms are particularly efficient. The efficiency of the resulting propagation methods is illustrated on the localization of a submarine robot, named Redermor. The experiments have been collected by the GESMA (Groupe d'Etude Sous-Marine de l'Atlantique) in the Douarnenez bay, in Brittany.