Sphere world

A sphere world is a mathematical concept used in robotic motion planning. Essentially, if the environment is represented as a sphere, and the robot… (More)
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Papers overview

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2018
2018
Planning conflict-free trajectories is a long-standing problem in Air Traffic Management. Navigation functions designed… (More)
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2011
2011
This paper introduces an algorithm for automatically tuning analytic navigation functions for sphere worlds. The tuning parameter… (More)
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2007
2007
In this paper we present a new navigation function for a sphere world that can be computed locally with limited knowledge of the… (More)
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2006
2006
A distributed feedback control architecture that guarantees collision avoidance and destination convergence for multiple sphere… (More)
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2004
2004
Multiculturalism characterises today's world. The diversity of cultures and conflicting ethnic groups sharing the same territory… (More)
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1995
1995
The purpose of this paper is to show that we can consider an extension of a Reiter's default theory (W,Δ) as the expansion of the… (More)
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Highly Cited
1992
Highly Cited
1992
A methodology for exact robot motion planning and control that unifies the purely kinematic path planning problem with the lower… (More)
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Highly Cited
1990
Highly Cited
1990
This paper concerns the construction of a class of scalar valued analytic maps on analytic manifolds with boundary. These maps… (More)
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Highly Cited
1989
Highly Cited
1989
The authors consider the construction of navigation functions on configuration spaces whose geometric expressiveness is rich… (More)
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1975
1975
Addressing himself to the question, ‘What is a resource centre?’, Professor Mertens proposed a working definition listing the… (More)
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