On circular Cylinders by Four or Five Points in Space - Archive ouverte HAL Access content directly
Reports Year : 2001

On circular Cylinders by Four or Five Points in Space

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Olivier Devillers
Franco P. Preparata
  • Function : Author
Philippe Trebuchet
  • Function : Author
  • PersonId : 833470

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-00072427 , version 1 (24-05-2006)

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  • HAL Id : inria-00072427 , version 1

Cite

Olivier Devillers, Bernard Mourrain, Franco P. Preparata, Philippe Trebuchet. On circular Cylinders by Four or Five Points in Space. RR-4195, INRIA. 2001. ⟨inria-00072427⟩
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