A few applications of Groebner bases

  • Rafal Ablamowicz (Tennessee Technological University, USA)
A3 01 (Sophus-Lie room)


Groebner bases are useful in practical problems when solving systems of polynomial equations. Applications of these bases to finding parallel lines (envelopes) and parallel surfaces at the given offset will be shown. As examples, parallel lines to nondegenerate quadrics, Bezier cubics and Bezier surfaces will be presented. Singularities of the parallel lines will be discussed.

Katharina Matschke

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