Seminars

Title: Solving the curve/curve and curve/surface intersection problems with Mathemagix

Abstract:
Computing the intersection between algebraic varieties is a fundamental task in
Computer Aided Geometric Design. Several methods and approaches have been
developed for that purpose. Some of them are based on matrix representations of
the objects that allow to transform the computation of the intersection locus
into generalized eigencomputations . The aim of our works is to compute the
matrix representation of these objects and to show that similar algorithms
can be implemented even if the matrix representation used are non square
matrices.
In this talk, we present some implementations of the software Mathemagix to
solve the curve/curve, curve/surface intersection problems and also the
singularity of plane rational curve.