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Journal Articles Discrete and Computational Geometry Year : 2002

Circular Cylinders by Four or Five Points in Space

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Olivier Devillers
Bernard Mourrain

Abstract

We are interested in computing effectively cylinders through 5 points, and in other problems involved in metrology. In particular, we consider the cylinders through 4 points with a fix radius and with extremal radius. For these different problems, we give bounds on the number of solutions and exemples show that these bounds are optimal. Finally, we describe two algebraic methods which can be used here to solve efficiently these problems and some experimentation results.
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Dates and versions

inria-00090648 , version 1 (01-09-2006)

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Olivier Devillers, Bernard Mourrain, Franco P. Preparata, Philippe Trebuchet. Circular Cylinders by Four or Five Points in Space. Discrete and Computational Geometry, 2002, 29 (1), pp.83--104. ⟨10.1007/s00454-002-2811-7⟩. ⟨inria-00090648⟩
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