Convex Translation Estimation

Authors:
Thomas Kä/mpke
Affiliations:
Forschungsinstitut fü/r anwendungsorientierte Wissensverarbeitung (FAW), Helmholtzstr. 16, 89081 Ulm, Germany/ e-mail: kaempke@faw.uni-ulm.de
Venue:
Journal of Intelligent and Robotic Systems
Year:
1998

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Abstract

We compute all translations resulting in the union of two finite, convexsets being again convex. Convexity will be established by conditions on theoutside of the convex hull. Computations are of low degree polynomial boundson the worst case number of steps. This results in a set estimator for amobile robot’s translation value.